Eigen

Dependencies:   Eigen

Dependents:   optWingforHAPS_Eigen hexaTest_Eigen

Committer:
cocorlow
Date:
Mon Dec 06 08:24:13 2021 +0000
Revision:
78:e36a7b844fb5
Parent:
77:780ce6556041
Child:
79:365ea9277167
Eigen

Who changed what in which revision?

UserRevisionLine numberNew contents of line
NaotoMorita 44:7d82e63b6a86 1 #include "solaESKF.hpp"
NaotoMorita 54:cd514d9d4b19 2
NaotoMorita 44:7d82e63b6a86 3 solaESKF::solaESKF()
cocorlow 78:e36a7b844fb5 4 // :pihat(3,1),vihat(3,1),qhat(4,1),accBias(3,1),gyroBias(3,1),gravity(3,1),errState(18,1),Phat(18,18),Q(18,18)
cocorlow 78:e36a7b844fb5 5 :errState(18,1),Phat(18,18),Q(18,18)
NaotoMorita 62:5519d34eb6e8 6 {
cocorlow 78:e36a7b844fb5 7 pihat << 0.0f, 0.0f, 0.0f;
cocorlow 78:e36a7b844fb5 8 vihat << 0.0f, 0.0f, 0.0f;
cocorlow 78:e36a7b844fb5 9 qhat << 1.0f, 0.0f, 0.0f, 0.0f;
cocorlow 78:e36a7b844fb5 10 accBias << 0.0f, 0.0f, 0.0f;
cocorlow 78:e36a7b844fb5 11 gyroBias << 0.0f, 0.0f, 0.0f;
cocorlow 78:e36a7b844fb5 12 gravity << 0.0f, 0.0, 9.8f;
NaotoMorita 62:5519d34eb6e8 13
cocorlow 78:e36a7b844fb5 14 nState = 18;
cocorlow 78:e36a7b844fb5 15 errState = VectorXf::Zero(nState);
cocorlow 78:e36a7b844fb5 16 Phat = MatrixXf::Zero(nState, nState);
cocorlow 78:e36a7b844fb5 17 Q = MatrixXf::Zero(nState, nState);
NaotoMorita 62:5519d34eb6e8 18
cocorlow 78:e36a7b844fb5 19 setBlockDiag(Phat, 0.1f, 0, 2);//position
cocorlow 78:e36a7b844fb5 20 setBlockDiag(Phat, 0.1f, 3, 5);//velocity
cocorlow 78:e36a7b844fb5 21 setBlockDiag(Phat, 0.1f, 6, 8);//angle error
cocorlow 78:e36a7b844fb5 22 setBlockDiag(Phat, 0.1f, 9, 11);//acc bias
cocorlow 78:e36a7b844fb5 23 setBlockDiag(Phat, 0.1f, 12, 14);//gyro bias
cocorlow 78:e36a7b844fb5 24 setBlockDiag(Phat, 0.00000001f, 15, 17);//gravity
cocorlow 78:e36a7b844fb5 25 setBlockDiag(Q, 0.00025f, 3, 5);//velocity
cocorlow 78:e36a7b844fb5 26 setBlockDiag(Q, 0.005f/57.0f, 6, 8);//angle error
cocorlow 78:e36a7b844fb5 27 setBlockDiag(Q, 0.001f, 9, 11);//acc bias
cocorlow 78:e36a7b844fb5 28 setBlockDiag(Q, 0.001f, 12, 14);//gyro bias//positionとgravityはQ項なし
NaotoMorita 19:3fae66745363 29 }
NaotoMorita 19:3fae66745363 30
NaotoMorita 47:2467de40951f 31
cocorlow 78:e36a7b844fb5 32 void solaESKF::updateNominal(Vector3f acc, Vector3f gyro,float att_dt)
NaotoMorita 19:3fae66745363 33 {
cocorlow 78:e36a7b844fb5 34 Vector3f gyrom = gyro - gyroBias;
cocorlow 78:e36a7b844fb5 35 Vector3f accm = acc - accBias;
NaotoMorita 44:7d82e63b6a86 36
cocorlow 78:e36a7b844fb5 37 Vector4f qint;
cocorlow 78:e36a7b844fb5 38 qint << 1.0f, 0.5f*gyrom(0)*att_dt, 0.5f*gyrom(1)*att_dt, 0.5f*gyrom(2)*att_dt;
cocorlow 78:e36a7b844fb5 39 qhat = quatmultiply(qhat, qint);
cocorlow 78:e36a7b844fb5 40 qhat.normalize();
NaotoMorita 23:1509648c2318 41
cocorlow 78:e36a7b844fb5 42 Matrix3f dcm;
NaotoMorita 23:1509648c2318 43 computeDcm(dcm, qhat);
cocorlow 78:e36a7b844fb5 44 Vector3f accned = dcm*accm + gravity;
NaotoMorita 44:7d82e63b6a86 45 vihat += accned*att_dt;
NaotoMorita 44:7d82e63b6a86 46
cocorlow 78:e36a7b844fb5 47 pihat += vihat*att_dt + 0.5f*accned*att_dt*att_dt;
NaotoMorita 19:3fae66745363 48 }
NaotoMorita 19:3fae66745363 49
cocorlow 78:e36a7b844fb5 50 void solaESKF::updateErrState(Vector3f acc, Vector3f gyro, float att_dt)
NaotoMorita 23:1509648c2318 51 {
cocorlow 78:e36a7b844fb5 52 Vector3f gyrom = gyro - gyroBias;
cocorlow 78:e36a7b844fb5 53 Vector3f accm = acc - accBias;
NaotoMorita 75:e2c825cdc511 54
cocorlow 78:e36a7b844fb5 55 Matrix3f dcm;
NaotoMorita 23:1509648c2318 56 computeDcm(dcm, qhat);
cocorlow 78:e36a7b844fb5 57 // Matrix a2v = -dcm*MatrixMath::Matrixcross(accm(1,1),accm(2,1),accm(3,1))*att_dt;
cocorlow 78:e36a7b844fb5 58 Matrix3f a2v = -dcm*solaESKF::Matrixcross(accm)*att_dt;
cocorlow 78:e36a7b844fb5 59 Matrix3f a2v2 = 0.5f*a2v*att_dt;
NaotoMorita 75:e2c825cdc511 60
cocorlow 78:e36a7b844fb5 61 MatrixXf Fx(nState,nState);
NaotoMorita 44:7d82e63b6a86 62 //position
cocorlow 78:e36a7b844fb5 63 Fx(0,0) = 1.0f;
NaotoMorita 75:e2c825cdc511 64 Fx(1,1) = 1.0f;
NaotoMorita 75:e2c825cdc511 65 Fx(2,2) = 1.0f;
cocorlow 78:e36a7b844fb5 66 Fx(0,3) = 1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 67 Fx(1,4) = 1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 68 Fx(2,5) = 1.0f*att_dt;
cocorlow 78:e36a7b844fb5 69 for (int i = 0; i < 3; i++){
cocorlow 78:e36a7b844fb5 70 for (int j = 0; j < 3; j++){
NaotoMorita 75:e2c825cdc511 71 Fx(i,j+6) = a2v2(i,j);
NaotoMorita 75:e2c825cdc511 72 Fx(i,j+9) = -0.5f*dcm(i,j)*att_dt*att_dt;
NaotoMorita 75:e2c825cdc511 73 }
NaotoMorita 75:e2c825cdc511 74 Fx(i,i+15) = 0.5f*att_dt*att_dt;
NaotoMorita 75:e2c825cdc511 75 }
NaotoMorita 75:e2c825cdc511 76
NaotoMorita 75:e2c825cdc511 77
NaotoMorita 75:e2c825cdc511 78 //velocity
cocorlow 78:e36a7b844fb5 79 Fx(3,3) = 1.0f;
NaotoMorita 75:e2c825cdc511 80 Fx(4,4) = 1.0f;
NaotoMorita 75:e2c825cdc511 81 Fx(5,5) = 1.0f;
cocorlow 78:e36a7b844fb5 82 for (int i = 0; i < 3; i++){
cocorlow 78:e36a7b844fb5 83 for (int j = 0; j < 3; j++){
NaotoMorita 75:e2c825cdc511 84 Fx(i+3,j+6) = a2v(i,j);
NaotoMorita 75:e2c825cdc511 85 Fx(i+3,j+9) = -dcm(i,j)*att_dt;
NaotoMorita 75:e2c825cdc511 86 Fx(i+3,j+12) = -a2v2(i,j);
NaotoMorita 23:1509648c2318 87 }
NaotoMorita 23:1509648c2318 88 }
cocorlow 78:e36a7b844fb5 89 Fx(3,15) = 1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 90 Fx(4,16) = 1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 91 Fx(5,17) = 1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 92
NaotoMorita 44:7d82e63b6a86 93 //angulat error
cocorlow 78:e36a7b844fb5 94 Fx(6,6) = 1.0f;
NaotoMorita 75:e2c825cdc511 95 Fx(7,7) = 1.0f;
NaotoMorita 75:e2c825cdc511 96 Fx(8,8) = 1.0f;
cocorlow 78:e36a7b844fb5 97 Fx(6,7) = gyrom(2)*att_dt;
cocorlow 78:e36a7b844fb5 98 Fx(6,8) = -gyrom(1)*att_dt;
cocorlow 78:e36a7b844fb5 99 Fx(7,6) = -gyrom(2)*att_dt;
cocorlow 78:e36a7b844fb5 100 Fx(7,8) = gyrom(0)*att_dt;
cocorlow 78:e36a7b844fb5 101 Fx(8,6) = gyrom(1)*att_dt;
cocorlow 78:e36a7b844fb5 102 Fx(8,7) = -gyrom(0)*att_dt;
cocorlow 78:e36a7b844fb5 103 Fx(6,12) = -1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 104 Fx(7,13) = -1.0f*att_dt;
NaotoMorita 75:e2c825cdc511 105 Fx(8,14) = -1.0f*att_dt;
NaotoMorita 47:2467de40951f 106
NaotoMorita 75:e2c825cdc511 107 //acc bias
cocorlow 78:e36a7b844fb5 108 Fx(9,9) = 1.0f;
NaotoMorita 75:e2c825cdc511 109 Fx(10,10) = 1.0f;
NaotoMorita 75:e2c825cdc511 110 Fx(11,11) = 1.0f;
NaotoMorita 75:e2c825cdc511 111
NaotoMorita 75:e2c825cdc511 112 //gyro bias
cocorlow 78:e36a7b844fb5 113 Fx(12,12) = 1.0f;
NaotoMorita 75:e2c825cdc511 114 Fx(13,13) = 1.0f;
NaotoMorita 75:e2c825cdc511 115 Fx(14,14) = 1.0f;
NaotoMorita 75:e2c825cdc511 116
NaotoMorita 75:e2c825cdc511 117 //gravity bias
cocorlow 78:e36a7b844fb5 118 Fx(15,15) = 1.0f;
NaotoMorita 75:e2c825cdc511 119 Fx(16,16) = 1.0f;
NaotoMorita 75:e2c825cdc511 120 Fx(17,17) = 1.0f;
NaotoMorita 75:e2c825cdc511 121
NaotoMorita 75:e2c825cdc511 122 errState = Fx * errState;
cocorlow 78:e36a7b844fb5 123 Phat = Fx*Phat*Fx.transpose();
cocorlow 78:e36a7b844fb5 124 for (int i = 0; i < nState; i++){
cocorlow 78:e36a7b844fb5 125 if(i>2 && i<9){
NaotoMorita 75:e2c825cdc511 126 Phat(i,i) += Q(i,i)*att_dt;
cocorlow 78:e36a7b844fb5 127 }else if(i>8 && i<15){
NaotoMorita 75:e2c825cdc511 128 Phat(i,i) += Q(i,i)* att_dt*att_dt;
NaotoMorita 59:03fe5e16a33c 129 }
NaotoMorita 59:03fe5e16a33c 130 }
NaotoMorita 25:07ac5c6cd61c 131 }
NaotoMorita 25:07ac5c6cd61c 132
cocorlow 78:e36a7b844fb5 133 void solaESKF::updateAcc(Vector3f acc, Matrix3f R)
NaotoMorita 46:15988dc41923 134 {
cocorlow 78:e36a7b844fb5 135 Vector3f accm = acc - accBias;
cocorlow 78:e36a7b844fb5 136 Matrix3f dcm;
NaotoMorita 56:c10f1168bd4a 137 computeDcm(dcm, qhat);
cocorlow 78:e36a7b844fb5 138 Matrix3f tdcm = dcm.transpose();
cocorlow 78:e36a7b844fb5 139 Vector3f tdcm_g = tdcm*gravity;
cocorlow 78:e36a7b844fb5 140 Matrix3f rotgrav = solaESKF::Matrixcross(tdcm_g);
NaotoMorita 46:15988dc41923 141
cocorlow 78:e36a7b844fb5 142 MatrixXf H(3,nState);
cocorlow 78:e36a7b844fb5 143 for (int i = 0; i < 3; i++){
cocorlow 78:e36a7b844fb5 144 for (int j = 0; j < 3; j++){
NaotoMorita 59:03fe5e16a33c 145 H(i,j+6) = rotgrav(i,j);
NaotoMorita 74:f5fe7fecbd3c 146 H(i,j+15) = tdcm(i,j);
NaotoMorita 46:15988dc41923 147 }
NaotoMorita 58:93ba28cf5cb3 148 }
NaotoMorita 56:c10f1168bd4a 149
cocorlow 78:e36a7b844fb5 150 H(0,9) = -1.0f;
NaotoMorita 46:15988dc41923 151 H(1,10) = -1.0f;
NaotoMorita 46:15988dc41923 152 H(2,11) = -1.0f;
NaotoMorita 59:03fe5e16a33c 153
cocorlow 78:e36a7b844fb5 154 // Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
cocorlow 78:e36a7b844fb5 155 MatrixXf K = (Phat*H.transpose())*(H*Phat*H.transpose()+R).inverse();
cocorlow 78:e36a7b844fb5 156 Vector3f zacc = -accm-tdcm*gravity;
cocorlow 78:e36a7b844fb5 157 Vector3f z;
cocorlow 78:e36a7b844fb5 158 z = zacc;
NaotoMorita 61:5e5c4fe12440 159 errState = K * z;
cocorlow 78:e36a7b844fb5 160 Phat = (MatrixXf::Identity(nState, nState)-K*H)*Phat;
NaotoMorita 61:5e5c4fe12440 161
NaotoMorita 61:5e5c4fe12440 162 fuseErr2Nominal();
NaotoMorita 61:5e5c4fe12440 163 }
NaotoMorita 70:d12e46fdc2f0 164
cocorlow 78:e36a7b844fb5 165 void solaESKF::updateHeading(float a, Matrix3f R)
NaotoMorita 70:d12e46fdc2f0 166 {
cocorlow 78:e36a7b844fb5 167 float q0 = qhat(0);
cocorlow 78:e36a7b844fb5 168 float q1 = qhat(1);
cocorlow 78:e36a7b844fb5 169 float q2 = qhat(2);
cocorlow 78:e36a7b844fb5 170 float q3 = qhat(3);
NaotoMorita 73:5770a0d470c0 171
NaotoMorita 73:5770a0d470c0 172 bool canUseA = false;
NaotoMorita 73:5770a0d470c0 173 const float SA0 = 2*q3;
NaotoMorita 73:5770a0d470c0 174 const float SA1 = 2*q2;
NaotoMorita 73:5770a0d470c0 175 const float SA2 = SA0*q0 + SA1*q1;
NaotoMorita 73:5770a0d470c0 176 const float SA3 = q0*q0 + q1*q1 - q2*q2 - q3*q3;
NaotoMorita 73:5770a0d470c0 177 float SA4, SA5_inv;
NaotoMorita 73:5770a0d470c0 178 if ((SA3*SA3) > 1e-6f) {
NaotoMorita 73:5770a0d470c0 179 SA4 = 1.0F/(SA3*SA3);
NaotoMorita 73:5770a0d470c0 180 SA5_inv = SA2*SA2*SA4 + 1;
cocorlow 78:e36a7b844fb5 181 canUseA = std::abs(SA5_inv) > 1e-6f;
NaotoMorita 73:5770a0d470c0 182 }
NaotoMorita 73:5770a0d470c0 183
NaotoMorita 73:5770a0d470c0 184 bool canUseB = false;
NaotoMorita 73:5770a0d470c0 185 const float SB0 = 2*q0;
NaotoMorita 73:5770a0d470c0 186 const float SB1 = 2*q1;
NaotoMorita 73:5770a0d470c0 187 const float SB2 = SB0*q3 + SB1*q2;
NaotoMorita 73:5770a0d470c0 188 const float SB4 = q0*q0 + q1*q1 - q2*q2 - q3*q3;
NaotoMorita 73:5770a0d470c0 189 float SB3, SB5_inv;
NaotoMorita 73:5770a0d470c0 190 if ((SB2*SB2) > 1e-6f) {
NaotoMorita 73:5770a0d470c0 191 SB3 = 1.0F/(SB2*SB2);
NaotoMorita 73:5770a0d470c0 192 SB5_inv = SB3*SB4*SB4 + 1;
cocorlow 78:e36a7b844fb5 193 canUseB = std::abs(SB5_inv) > 1e-6f;
NaotoMorita 73:5770a0d470c0 194 }
NaotoMorita 73:5770a0d470c0 195
cocorlow 78:e36a7b844fb5 196 Matrix<float, 1, 4> Hh;
NaotoMorita 73:5770a0d470c0 197
cocorlow 78:e36a7b844fb5 198 if (canUseA && (!canUseB || std::abs(SA5_inv) >= std::abs(SB5_inv))) {
NaotoMorita 73:5770a0d470c0 199 const float SA5 = 1.0F/SA5_inv;
NaotoMorita 73:5770a0d470c0 200 const float SA6 = 1.0F/SA3;
NaotoMorita 73:5770a0d470c0 201 const float SA7 = SA2*SA4;
NaotoMorita 73:5770a0d470c0 202 const float SA8 = 2*SA7;
NaotoMorita 73:5770a0d470c0 203 const float SA9 = 2*SA6;
NaotoMorita 73:5770a0d470c0 204
cocorlow 78:e36a7b844fb5 205 Hh(0,0) = SA5*(SA0*SA6 - SA8*q0);
cocorlow 78:e36a7b844fb5 206 Hh(0,1) = SA5*(SA1*SA6 - SA8*q1);
cocorlow 78:e36a7b844fb5 207 Hh(0,2) = SA5*(SA1*SA7 + SA9*q1);
cocorlow 78:e36a7b844fb5 208 Hh(0,3) = SA5*(SA0*SA7 + SA9*q0);
cocorlow 78:e36a7b844fb5 209 } else if (canUseB && (!canUseA || std::abs(SB5_inv) > std::abs(SA5_inv))) {
NaotoMorita 73:5770a0d470c0 210 const float SB5 = 1.0F/SB5_inv;
NaotoMorita 73:5770a0d470c0 211 const float SB6 = 1.0F/SB2;
NaotoMorita 73:5770a0d470c0 212 const float SB7 = SB3*SB4;
NaotoMorita 73:5770a0d470c0 213 const float SB8 = 2*SB7;
NaotoMorita 73:5770a0d470c0 214 const float SB9 = 2*SB6;
NaotoMorita 73:5770a0d470c0 215
cocorlow 78:e36a7b844fb5 216 Hh(0,0) = -SB5*(SB0*SB6 - SB8*q3);
cocorlow 78:e36a7b844fb5 217 Hh(0,1) = -SB5*(SB1*SB6 - SB8*q2);
cocorlow 78:e36a7b844fb5 218 Hh(0,2) = -SB5*(-SB1*SB7 - SB9*q2);
cocorlow 78:e36a7b844fb5 219 Hh(0,3) = -SB5*(-SB0*SB7 - SB9*q3);
NaotoMorita 73:5770a0d470c0 220 } else {
NaotoMorita 73:5770a0d470c0 221 return;
NaotoMorita 73:5770a0d470c0 222 }
NaotoMorita 70:d12e46fdc2f0 223
cocorlow 78:e36a7b844fb5 224 Matrix<float, 4, 3> Hdq;
cocorlow 78:e36a7b844fb5 225 Hdq << -0.5f*q1, -0.5f*q2, -0.5f*q3,
cocorlow 78:e36a7b844fb5 226 0.5f*q0, -0.5f*q3, 0.5f*q2,
cocorlow 78:e36a7b844fb5 227 0.5f*q3, 0.5f*q0, -0.5f*q1,
cocorlow 78:e36a7b844fb5 228 -0.5f*q2, 0.5f*q1, 0.5f*q0;
NaotoMorita 70:d12e46fdc2f0 229
cocorlow 78:e36a7b844fb5 230 Matrix<float, 1, 3> Hpart = Hh*Hdq;
cocorlow 78:e36a7b844fb5 231 MatrixXf H(1,nState);
cocorlow 78:e36a7b844fb5 232 for(int j=0; j<3; j++){
cocorlow 78:e36a7b844fb5 233 H(0,j+6) = Hpart(0,j);
NaotoMorita 70:d12e46fdc2f0 234 }
NaotoMorita 70:d12e46fdc2f0 235
cocorlow 78:e36a7b844fb5 236 const float psi = std::atan2(qhat(1)*qhat(2) + qhat(0)*qhat(3), 0.5f - qhat(2)*qhat(2) - qhat(3)*qhat(3));
cocorlow 78:e36a7b844fb5 237 Matrix<float, 1, 1> z;
cocorlow 78:e36a7b844fb5 238 z << std::atan2(std::sin(a-psi), std::cos(a-psi));
cocorlow 78:e36a7b844fb5 239 MatrixXf K = (Phat*H.transpose())*(H*Phat*H.transpose()+R).inverse();
NaotoMorita 70:d12e46fdc2f0 240 errState = K * z;
cocorlow 78:e36a7b844fb5 241 Phat = (MatrixXf::Identity(nState, nState)-K*H)*Phat;
NaotoMorita 70:d12e46fdc2f0 242
NaotoMorita 70:d12e46fdc2f0 243 fuseErr2Nominal();
NaotoMorita 70:d12e46fdc2f0 244 }
cocorlow 78:e36a7b844fb5 245 void solaESKF::updateGPSPosition(Vector3f posgps,float palt,Matrix3f R)
NaotoMorita 65:c25d7810de44 246 {
cocorlow 78:e36a7b844fb5 247 MatrixXf H(3,nState);
cocorlow 78:e36a7b844fb5 248 H(0,0) = 1.0f;
NaotoMorita 74:f5fe7fecbd3c 249 H(1,1) = 1.0f;
NaotoMorita 74:f5fe7fecbd3c 250 H(2,2) = 1.0f;
NaotoMorita 65:c25d7810de44 251
NaotoMorita 74:f5fe7fecbd3c 252 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 74:f5fe7fecbd3c 253 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+1000.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
cocorlow 78:e36a7b844fb5 254 MatrixXf K = (Phat*H.transpose())*(H*Phat*H.transpose()+R).inverse();
cocorlow 78:e36a7b844fb5 255 Vector3f z;
cocorlow 78:e36a7b844fb5 256 z << posgps(0)-pihat(0), posgps(1)-pihat(1), palt - pihat(2);
NaotoMorita 65:c25d7810de44 257 errState = K * z;
cocorlow 78:e36a7b844fb5 258 Phat = (MatrixXf::Identity(nState, nState)-K*H)*Phat;
NaotoMorita 74:f5fe7fecbd3c 259 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 74:f5fe7fecbd3c 260 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 65:c25d7810de44 261 fuseErr2Nominal();
NaotoMorita 65:c25d7810de44 262 }
cocorlow 78:e36a7b844fb5 263 void solaESKF::updateGPSVelocity(Vector3f velgps,Matrix3f R)
NaotoMorita 75:e2c825cdc511 264 {
cocorlow 78:e36a7b844fb5 265 MatrixXf H(3,nState);
cocorlow 78:e36a7b844fb5 266 H(0,3) = 1.0f;
NaotoMorita 75:e2c825cdc511 267 H(1,4) = 1.0f;
NaotoMorita 75:e2c825cdc511 268 H(2,5) = 1.0f;
NaotoMorita 75:e2c825cdc511 269
NaotoMorita 75:e2c825cdc511 270 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 75:e2c825cdc511 271 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+1000.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
cocorlow 78:e36a7b844fb5 272 MatrixXf K = (Phat*H.transpose())*(H*Phat*H.transpose()+R).inverse();
cocorlow 78:e36a7b844fb5 273 Vector3f z;
cocorlow 78:e36a7b844fb5 274 z << velgps(0)-vihat(0), velgps(1)-vihat(1), velgps(2)-vihat(2);
NaotoMorita 75:e2c825cdc511 275 errState = K * z;
cocorlow 78:e36a7b844fb5 276 Phat = (MatrixXf::Identity(nState, nState)-K*H)*Phat;
NaotoMorita 75:e2c825cdc511 277 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 75:e2c825cdc511 278 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 75:e2c825cdc511 279 fuseErr2Nominal();
NaotoMorita 75:e2c825cdc511 280 }
NaotoMorita 65:c25d7810de44 281
cocorlow 78:e36a7b844fb5 282 void solaESKF::updateGPS(Vector3f posgps, float palt, Vector3f velgps, MatrixXf R)
NaotoMorita 58:93ba28cf5cb3 283 {
cocorlow 78:e36a7b844fb5 284 MatrixXf H(5, nState);
cocorlow 78:e36a7b844fb5 285 H(0,0) = 1.0f;
NaotoMorita 46:15988dc41923 286 H(1,1) = 1.0f;
NaotoMorita 46:15988dc41923 287 H(2,2) = 1.0f;
NaotoMorita 56:c10f1168bd4a 288 H(3,3) = 1.0f;
NaotoMorita 56:c10f1168bd4a 289 H(4,4) = 1.0f;
cocorlow 78:e36a7b844fb5 290 MatrixXf K = (Phat*H.transpose())*(H*Phat*H.transpose()+R).inverse();
cocorlow 78:e36a7b844fb5 291 Matrix<float, 5, 1> z;
cocorlow 78:e36a7b844fb5 292 z << posgps(0)-pihat(0), posgps(1)-pihat(1), palt-pihat(2), velgps(0)-vihat(0), velgps(1)-vihat(1);
NaotoMorita 58:93ba28cf5cb3 293 errState = K * z;
cocorlow 78:e36a7b844fb5 294 Phat = (MatrixXf::Identity(nState, nState)-K*H)*Phat;
NaotoMorita 58:93ba28cf5cb3 295 fuseErr2Nominal();
NaotoMorita 58:93ba28cf5cb3 296 }
NaotoMorita 58:93ba28cf5cb3 297
NaotoMorita 46:15988dc41923 298
cocorlow 78:e36a7b844fb5 299 Vector3f solaESKF::computeAngles()
NaotoMorita 25:07ac5c6cd61c 300 {
NaotoMorita 25:07ac5c6cd61c 301
cocorlow 78:e36a7b844fb5 302 Vector3f euler;
cocorlow 78:e36a7b844fb5 303 euler(0) = std::atan2(qhat(0)*qhat(1) + qhat(2)*qhat(3), 0.5f - qhat(1)*qhat(1) - qhat(2)*qhat(2));
cocorlow 78:e36a7b844fb5 304 euler(1) = std::asin(-2.0f * (qhat(1)*qhat(3) - qhat(0)*qhat(2)));
cocorlow 78:e36a7b844fb5 305 euler(2) = std::atan2(qhat(1)*qhat(2) + qhat(0)*qhat(3), 0.5f - qhat(2)*qhat(2) - qhat(3)*qhat(3));
NaotoMorita 44:7d82e63b6a86 306 return euler;
NaotoMorita 19:3fae66745363 307 }
NaotoMorita 19:3fae66745363 308
NaotoMorita 21:d6079def0473 309
NaotoMorita 44:7d82e63b6a86 310 void solaESKF::fuseErr2Nominal()
NaotoMorita 19:3fae66745363 311 {
NaotoMorita 44:7d82e63b6a86 312 //position
cocorlow 78:e36a7b844fb5 313 pihat(0) += errState(0);
cocorlow 78:e36a7b844fb5 314 pihat(1) += errState(1);
cocorlow 78:e36a7b844fb5 315 pihat(2) += errState(2);
NaotoMorita 44:7d82e63b6a86 316
NaotoMorita 44:7d82e63b6a86 317 //velocity
cocorlow 78:e36a7b844fb5 318 vihat(0) += errState(3);
cocorlow 78:e36a7b844fb5 319 vihat(1) += errState(4);
cocorlow 78:e36a7b844fb5 320 vihat(2) += errState(5);
NaotoMorita 44:7d82e63b6a86 321
NaotoMorita 44:7d82e63b6a86 322 //angle error
cocorlow 78:e36a7b844fb5 323 Vector4f qerr;
cocorlow 78:e36a7b844fb5 324 qerr << 1.0f, 0.5f*errState(6), 0.5f*errState(7), 0.5f*errState(8);
NaotoMorita 19:3fae66745363 325 qhat = quatmultiply(qhat, qerr);
cocorlow 78:e36a7b844fb5 326 qhat.normalize();
NaotoMorita 23:1509648c2318 327
NaotoMorita 44:7d82e63b6a86 328 //acc bias
cocorlow 78:e36a7b844fb5 329 accBias(0) += errState(9);
cocorlow 78:e36a7b844fb5 330 accBias(1) += errState(10);
cocorlow 78:e36a7b844fb5 331 accBias(2) += errState(11);
NaotoMorita 44:7d82e63b6a86 332
NaotoMorita 44:7d82e63b6a86 333 //gyro bias
cocorlow 78:e36a7b844fb5 334 gyroBias(0) += errState(12);
cocorlow 78:e36a7b844fb5 335 gyroBias(1) += errState(13);
cocorlow 78:e36a7b844fb5 336 gyroBias(2) += errState(14);
NaotoMorita 44:7d82e63b6a86 337
NaotoMorita 44:7d82e63b6a86 338 //gravity bias
cocorlow 78:e36a7b844fb5 339 gravity(0) += errState(15);
cocorlow 78:e36a7b844fb5 340 gravity(1) += errState(16);
cocorlow 78:e36a7b844fb5 341 gravity(2) += errState(17);
NaotoMorita 62:5519d34eb6e8 342
cocorlow 78:e36a7b844fb5 343 errState = VectorXf::Zero(nState);
NaotoMorita 19:3fae66745363 344 }
NaotoMorita 19:3fae66745363 345
cocorlow 78:e36a7b844fb5 346 Vector4f solaESKF::quatmultiply(Vector4f p, Vector4f q)
NaotoMorita 19:3fae66745363 347 {
cocorlow 78:e36a7b844fb5 348 Vector4f qout;
cocorlow 78:e36a7b844fb5 349 qout(0) = p(0)*q(0) - p(1)*q(1) - p(2)*q(2) - p(3)*q(3);
cocorlow 78:e36a7b844fb5 350 qout(1) = p(0)*q(1) + p(1)*q(0) + p(2)*q(3) - p(3)*q(2);
cocorlow 78:e36a7b844fb5 351 qout(2) = p(0)*q(2) - p(1)*q(3) + p(2)*q(0) + p(3)*q(1);
cocorlow 78:e36a7b844fb5 352 qout(3) = p(0)*q(3) + p(1)*q(2) - p(2)*q(1) + p(3)*q(0);
cocorlow 78:e36a7b844fb5 353 // qout.normalize();
NaotoMorita 19:3fae66745363 354 return qout;
NaotoMorita 19:3fae66745363 355 }
NaotoMorita 19:3fae66745363 356
cocorlow 78:e36a7b844fb5 357 void solaESKF::computeDcm(Matrix3f& dcm, Vector4f quat)
NaotoMorita 19:3fae66745363 358 {
cocorlow 78:e36a7b844fb5 359 // dcm(1,1) = quat(1,1)*quat(1,1) + quat(2,1)*quat(2,1) - quat(3,1)*quat(3,1) - quat(4,1)*quat(4,1);
cocorlow 78:e36a7b844fb5 360 // dcm(1,2) = 2.0f*(quat(2,1)*quat(3,1) - quat(1,1)*quat(4,1));
cocorlow 78:e36a7b844fb5 361 // dcm(1,3) = 2.0f*(quat(2,1)*quat(4,1) + quat(1,1)*quat(3,1));
cocorlow 78:e36a7b844fb5 362 // dcm(2,1) = 2.0f*(quat(2,1)*quat(3,1) + quat(1,1)*quat(4,1));
cocorlow 78:e36a7b844fb5 363 // dcm(2,2) = quat(1,1)*quat(1,1) - quat(2,1)*quat(2,1) + quat(3,1)*quat(3,1) - quat(4,1)*quat(4,1);
cocorlow 78:e36a7b844fb5 364 // dcm(2,3) = 2.0f*(quat(3,1)*quat(4,1) - quat(1,1)*quat(2,1));
cocorlow 78:e36a7b844fb5 365 // dcm(3,1) = 2.0f*(quat(2,1)*quat(4,1) - quat(1,1)*quat(3,1));
cocorlow 78:e36a7b844fb5 366 // dcm(3,2) = 2.0f*(quat(3,1)*quat(4,1) + quat(1,1)*quat(2,1));
cocorlow 78:e36a7b844fb5 367 // dcm(3,3) = quat(1,1)*quat(1,1) - quat(2,1)*quat(2,1) - quat(3,1)*quat(3,1) + quat(4,1)*quat(4,1);
cocorlow 78:e36a7b844fb5 368
cocorlow 78:e36a7b844fb5 369 dcm(0,0) = quat(0)*quat(0) + quat(1)*quat(1) - quat(2)*quat(2) - quat(3)*quat(3);
cocorlow 78:e36a7b844fb5 370 dcm(0,1) = 2.0f*(quat(1)*quat(2) - quat(0)*quat(3));
cocorlow 78:e36a7b844fb5 371 dcm(0,2) = 2.0f*(quat(1)*quat(3) + quat(0)*quat(2));
cocorlow 78:e36a7b844fb5 372 dcm(1,0) = 2.0f*(quat(1)*quat(2) + quat(0)*quat(3));
cocorlow 78:e36a7b844fb5 373 dcm(1,1) = quat(0)*quat(0) - quat(1)*quat(1) + quat(2)*quat(2) - quat(3)*quat(3);
cocorlow 78:e36a7b844fb5 374 dcm(1,2) = 2.0f*(quat(2)*quat(3) - quat(0)*quat(1));
cocorlow 78:e36a7b844fb5 375 dcm(2,0) = 2.0f*(quat(1)*quat(3) - quat(0)*quat(2));
cocorlow 78:e36a7b844fb5 376 dcm(2,1) = 2.0f*(quat(2)*quat(3) + quat(0)*quat(1));
cocorlow 78:e36a7b844fb5 377 dcm(2,2) = quat(0)*quat(0) - quat(1)*quat(1) - quat(2)*quat(2) + quat(3)*quat(3);
NaotoMorita 19:3fae66745363 378 }
NaotoMorita 19:3fae66745363 379
NaotoMorita 44:7d82e63b6a86 380 void solaESKF::setQhat(float ex,float ey,float ez)
NaotoMorita 44:7d82e63b6a86 381 {
cocorlow 78:e36a7b844fb5 382 float cos_z_2 = std::cos(0.5f*ez);
cocorlow 78:e36a7b844fb5 383 float cos_y_2 = std::cos(0.5f*ey);
cocorlow 78:e36a7b844fb5 384 float cos_x_2 = std::cos(0.5f*ex);
NaotoMorita 19:3fae66745363 385
cocorlow 78:e36a7b844fb5 386 float sin_z_2 = std::sin(0.5f*ez);
cocorlow 78:e36a7b844fb5 387 float sin_y_2 = std::sin(0.5f*ey);
cocorlow 78:e36a7b844fb5 388 float sin_x_2 = std::sin(0.5f*ex);
NaotoMorita 19:3fae66745363 389
NaotoMorita 19:3fae66745363 390 // and now compute quaternion
cocorlow 78:e36a7b844fb5 391 qhat(0) = cos_z_2*cos_y_2*cos_x_2 + sin_z_2*sin_y_2*sin_x_2;
cocorlow 78:e36a7b844fb5 392 qhat(1) = cos_z_2*cos_y_2*sin_x_2 - sin_z_2*sin_y_2*cos_x_2;
cocorlow 78:e36a7b844fb5 393 qhat(2) = cos_z_2*sin_y_2*cos_x_2 + sin_z_2*cos_y_2*sin_x_2;
cocorlow 78:e36a7b844fb5 394 qhat(3) = sin_z_2*cos_y_2*cos_x_2 - cos_z_2*sin_y_2*sin_x_2;
NaotoMorita 19:3fae66745363 395 }
NaotoMorita 19:3fae66745363 396
cocorlow 78:e36a7b844fb5 397 Vector3f solaESKF::calcDynAcc(Vector3f acc)
NaotoMorita 75:e2c825cdc511 398 {
cocorlow 78:e36a7b844fb5 399 Vector3f accm = acc - accBias;
cocorlow 78:e36a7b844fb5 400 Matrix3f tdcm(3,3);
NaotoMorita 75:e2c825cdc511 401 computeDcm(tdcm, qhat);
cocorlow 78:e36a7b844fb5 402 tdcm = tdcm.transpose();
NaotoMorita 75:e2c825cdc511 403
cocorlow 78:e36a7b844fb5 404 Vector3f dynAcc = accm+tdcm*gravity;
NaotoMorita 75:e2c825cdc511 405 return dynAcc;
NaotoMorita 75:e2c825cdc511 406 }
NaotoMorita 47:2467de40951f 407
NaotoMorita 47:2467de40951f 408
NaotoMorita 44:7d82e63b6a86 409 void solaESKF::setGravity(float gx,float gy,float gz)
NaotoMorita 23:1509648c2318 410 {
cocorlow 78:e36a7b844fb5 411 gravity(0) = gx;
cocorlow 78:e36a7b844fb5 412 gravity(1) = gy;
cocorlow 78:e36a7b844fb5 413 gravity(2) = gz;
NaotoMorita 23:1509648c2318 414 }
NaotoMorita 62:5519d34eb6e8 415
cocorlow 78:e36a7b844fb5 416 Vector3f solaESKF::getPihat()
NaotoMorita 47:2467de40951f 417 {
NaotoMorita 47:2467de40951f 418 return pihat;
NaotoMorita 47:2467de40951f 419 }
cocorlow 78:e36a7b844fb5 420 Vector3f solaESKF::getVihat()
NaotoMorita 47:2467de40951f 421 {
NaotoMorita 47:2467de40951f 422 return vihat;
NaotoMorita 47:2467de40951f 423 }
cocorlow 78:e36a7b844fb5 424 Vector4f solaESKF::getQhat()
NaotoMorita 47:2467de40951f 425 {
NaotoMorita 47:2467de40951f 426 return qhat;
NaotoMorita 47:2467de40951f 427 }
cocorlow 78:e36a7b844fb5 428 Vector3f solaESKF::getAccBias()
NaotoMorita 47:2467de40951f 429 {
NaotoMorita 47:2467de40951f 430 return accBias;
NaotoMorita 47:2467de40951f 431 }
cocorlow 78:e36a7b844fb5 432 Vector3f solaESKF::getGyroBias()
NaotoMorita 47:2467de40951f 433 {
NaotoMorita 47:2467de40951f 434 return gyroBias;
NaotoMorita 47:2467de40951f 435 }
cocorlow 78:e36a7b844fb5 436 Vector3f solaESKF::getGravity()
NaotoMorita 47:2467de40951f 437 {
NaotoMorita 47:2467de40951f 438 return gravity;
NaotoMorita 47:2467de40951f 439 }
NaotoMorita 74:f5fe7fecbd3c 440
cocorlow 78:e36a7b844fb5 441 VectorXf solaESKF::getErrState()
NaotoMorita 47:2467de40951f 442 {
NaotoMorita 47:2467de40951f 443 return errState;
NaotoMorita 47:2467de40951f 444 }
NaotoMorita 23:1509648c2318 445
NaotoMorita 47:2467de40951f 446 void solaESKF::setPhatPosition(float val)
NaotoMorita 47:2467de40951f 447 {
cocorlow 78:e36a7b844fb5 448 setBlockDiag(Phat, val, 0,2);
NaotoMorita 47:2467de40951f 449 }
NaotoMorita 47:2467de40951f 450 void solaESKF::setPhatVelocity(float val)
NaotoMorita 47:2467de40951f 451 {
cocorlow 78:e36a7b844fb5 452 setBlockDiag(Phat, val, 3,5);
NaotoMorita 47:2467de40951f 453 }
NaotoMorita 47:2467de40951f 454 void solaESKF::setPhatAngleError(float val)
NaotoMorita 47:2467de40951f 455 {
cocorlow 78:e36a7b844fb5 456 setBlockDiag(Phat, val, 6,8);
NaotoMorita 47:2467de40951f 457 }
NaotoMorita 47:2467de40951f 458 void solaESKF::setPhatAccBias(float val)
NaotoMorita 47:2467de40951f 459 {
cocorlow 78:e36a7b844fb5 460 setBlockDiag(Phat, val, 9,11);
NaotoMorita 47:2467de40951f 461 }
NaotoMorita 47:2467de40951f 462 void solaESKF::setPhatGyroBias(float val)
NaotoMorita 47:2467de40951f 463 {
cocorlow 78:e36a7b844fb5 464 setBlockDiag(Phat, val, 12,14);
NaotoMorita 47:2467de40951f 465 }
NaotoMorita 47:2467de40951f 466 void solaESKF::setPhatGravity(float val)
NaotoMorita 47:2467de40951f 467 {
cocorlow 78:e36a7b844fb5 468 setBlockDiag(Phat, val, 15,17);
NaotoMorita 62:5519d34eb6e8 469 }
NaotoMorita 47:2467de40951f 470
NaotoMorita 47:2467de40951f 471
NaotoMorita 47:2467de40951f 472 void solaESKF::setQVelocity(float val)
NaotoMorita 47:2467de40951f 473 {
cocorlow 78:e36a7b844fb5 474 setBlockDiag(Q, val, 3, 5);
NaotoMorita 47:2467de40951f 475 }
NaotoMorita 47:2467de40951f 476 void solaESKF::setQAngleError(float val)
NaotoMorita 47:2467de40951f 477 {
cocorlow 78:e36a7b844fb5 478 setBlockDiag(Q, val, 6, 8);
NaotoMorita 47:2467de40951f 479 }
NaotoMorita 47:2467de40951f 480 void solaESKF::setQAccBias(float val)
NaotoMorita 47:2467de40951f 481 {
cocorlow 78:e36a7b844fb5 482 setBlockDiag(Q, val, 9, 11);
NaotoMorita 47:2467de40951f 483 }
NaotoMorita 47:2467de40951f 484 void solaESKF::setQGyroBias(float val)
NaotoMorita 47:2467de40951f 485 {
cocorlow 78:e36a7b844fb5 486 setBlockDiag(Q, val, 12, 14);
NaotoMorita 47:2467de40951f 487 }
NaotoMorita 19:3fae66745363 488
NaotoMorita 19:3fae66745363 489
cocorlow 78:e36a7b844fb5 490 void solaESKF::setDiag(MatrixXf& mat, float val){
cocorlow 78:e36a7b844fb5 491 for (int i = 0; i < mat.cols(); i++){
NaotoMorita 44:7d82e63b6a86 492 mat(i,i) = val;
NaotoMorita 22:7d84b8bc20b4 493 }
NaotoMorita 22:7d84b8bc20b4 494 }
NaotoMorita 22:7d84b8bc20b4 495
cocorlow 78:e36a7b844fb5 496 void solaESKF::setBlockDiag(MatrixXf& mat, float val, int startIndex, int endIndex){
NaotoMorita 44:7d82e63b6a86 497 for (int i = startIndex; i < endIndex+1; i++){
NaotoMorita 44:7d82e63b6a86 498 mat(i,i) = val;
NaotoMorita 22:7d84b8bc20b4 499 }
NaotoMorita 22:7d84b8bc20b4 500 }
osaka 51:a5af3b280d23 501
NaotoMorita 58:93ba28cf5cb3 502 void solaESKF::setPihat(float pi_x, float pi_y)
osaka 51:a5af3b280d23 503 {
cocorlow 78:e36a7b844fb5 504 pihat(0) = pi_x;
cocorlow 78:e36a7b844fb5 505 pihat(1) = pi_y;
NaotoMorita 58:93ba28cf5cb3 506 //pihat(3,1) = pi_z;
NaotoMorita 56:c10f1168bd4a 507 }
NaotoMorita 73:5770a0d470c0 508
cocorlow 78:e36a7b844fb5 509 Matrix3f solaESKF::Matrixcross(Vector3f v)
cocorlow 78:e36a7b844fb5 510 {
cocorlow 78:e36a7b844fb5 511 Matrix3f m;
cocorlow 78:e36a7b844fb5 512 m << 0.0f, -v(2), v(1),
cocorlow 78:e36a7b844fb5 513 v(2), 0.0f, -v(0),
cocorlow 78:e36a7b844fb5 514 -v(1), v(0), 0.0f;
cocorlow 78:e36a7b844fb5 515 return m;
cocorlow 78:e36a7b844fb5 516 }
NaotoMorita 56:c10f1168bd4a 517 /*
NaotoMorita 56:c10f1168bd4a 518 void solaESKF::updateAccConstraints(Matrix acc,float palt,Matrix R)
NaotoMorita 56:c10f1168bd4a 519 {
NaotoMorita 56:c10f1168bd4a 520 Matrix accm = acc - accBias;
NaotoMorita 56:c10f1168bd4a 521 Matrix tdcm(3,3);
NaotoMorita 56:c10f1168bd4a 522 computeDcm(tdcm, qhat);
NaotoMorita 56:c10f1168bd4a 523 tdcm = MatrixMath::Transpose(tdcm);
NaotoMorita 56:c10f1168bd4a 524 Matrix tdcm_g = tdcm*gravity;
NaotoMorita 56:c10f1168bd4a 525 Matrix a2v = MatrixMath::Matrixcross(tdcm_g(1,1),tdcm_g(2,1),tdcm_g(3,1));
NaotoMorita 56:c10f1168bd4a 526
NaotoMorita 56:c10f1168bd4a 527 Matrix H(4,nState);
NaotoMorita 56:c10f1168bd4a 528 for (int i = 1; i < 4; i++){
NaotoMorita 56:c10f1168bd4a 529 for (int j = 1; j < 4; j++){
NaotoMorita 56:c10f1168bd4a 530 H(i,j+6) = a2v(i,j);
NaotoMorita 56:c10f1168bd4a 531 H(i,j+15) = tdcm(i,j);
NaotoMorita 56:c10f1168bd4a 532 }
NaotoMorita 56:c10f1168bd4a 533 }
NaotoMorita 56:c10f1168bd4a 534 H(1,10) = -1.0f;
NaotoMorita 56:c10f1168bd4a 535 H(2,11) = -1.0f;
NaotoMorita 56:c10f1168bd4a 536 H(3,12) = -1.0f;
NaotoMorita 56:c10f1168bd4a 537 H(4,3) = 1.0f;
NaotoMorita 56:c10f1168bd4a 538
NaotoMorita 56:c10f1168bd4a 539 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 56:c10f1168bd4a 540 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
NaotoMorita 56:c10f1168bd4a 541 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 56:c10f1168bd4a 542 Matrix zacc = -accm-tdcm*gravity;
NaotoMorita 56:c10f1168bd4a 543 Matrix z(4,1);
NaotoMorita 56:c10f1168bd4a 544 z << zacc(1,1) << zacc(2,1) << zacc(3,1) << palt - pihat(3,1);
NaotoMorita 56:c10f1168bd4a 545 errState = K * z;
NaotoMorita 56:c10f1168bd4a 546 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 56:c10f1168bd4a 547 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 548 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 549 fuseErr2Nominal();
NaotoMorita 56:c10f1168bd4a 550 }
NaotoMorita 56:c10f1168bd4a 551
NaotoMorita 56:c10f1168bd4a 552 void solaESKF::updateGyroConstraints(Matrix gyro,Matrix R)
NaotoMorita 56:c10f1168bd4a 553 {
NaotoMorita 56:c10f1168bd4a 554 Matrix gyrom = gyro - gyroBias;
NaotoMorita 56:c10f1168bd4a 555 Matrix dcm(3,3);
NaotoMorita 56:c10f1168bd4a 556 computeDcm(dcm, qhat);
NaotoMorita 56:c10f1168bd4a 557 Matrix a2v = dcm*MatrixMath::Matrixcross(gyrom(1,1),gyrom(2,1),gyrom(3,1));
NaotoMorita 56:c10f1168bd4a 558
NaotoMorita 56:c10f1168bd4a 559 Matrix H(2,nState);
NaotoMorita 56:c10f1168bd4a 560 for (int i = 1; i < 3; i++){
NaotoMorita 56:c10f1168bd4a 561 for (int j = 1; j < 4; j++){
NaotoMorita 56:c10f1168bd4a 562 H(i,j+6) = a2v(i,j);
NaotoMorita 56:c10f1168bd4a 563 H(i,j+12) = -dcm(i,j);
NaotoMorita 56:c10f1168bd4a 564 }
NaotoMorita 56:c10f1168bd4a 565 }
NaotoMorita 56:c10f1168bd4a 566 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 56:c10f1168bd4a 567 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(2))*MatrixMath::Transpose(A));
NaotoMorita 56:c10f1168bd4a 568 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 56:c10f1168bd4a 569
NaotoMorita 56:c10f1168bd4a 570 Matrix z3 = -dcm*gyrom;
NaotoMorita 56:c10f1168bd4a 571 Matrix z(2,1);
NaotoMorita 56:c10f1168bd4a 572 z << z3(1,1) << z3(2,1);
NaotoMorita 56:c10f1168bd4a 573 errState = K * z;
NaotoMorita 56:c10f1168bd4a 574 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 56:c10f1168bd4a 575 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 576 Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 577 fuseErr2Nominal();
NaotoMorita 56:c10f1168bd4a 578 }
NaotoMorita 56:c10f1168bd4a 579 void solaESKF::updateMag(Matrix mag, Matrix R)
NaotoMorita 56:c10f1168bd4a 580 {
NaotoMorita 56:c10f1168bd4a 581 Matrix dcm(3,3);
NaotoMorita 56:c10f1168bd4a 582 computeDcm(dcm, qhat);
NaotoMorita 56:c10f1168bd4a 583 Matrix a2v = -dcm*MatrixMath::Matrixcross(mag(1,1),mag(2,1),mag(3,1));
NaotoMorita 56:c10f1168bd4a 584
NaotoMorita 56:c10f1168bd4a 585 Matrix H(2,nState);
NaotoMorita 56:c10f1168bd4a 586 for (int i = 1; i < 3; i++){
NaotoMorita 56:c10f1168bd4a 587 for (int j = 1; j < 4; j++){
NaotoMorita 56:c10f1168bd4a 588 H(i,j+6) = a2v(i,j);
NaotoMorita 56:c10f1168bd4a 589 }
NaotoMorita 56:c10f1168bd4a 590 }
NaotoMorita 56:c10f1168bd4a 591 H(1,19) = 1.0f;
NaotoMorita 56:c10f1168bd4a 592 //H(3,20) = 1.0f;
NaotoMorita 56:c10f1168bd4a 593
NaotoMorita 56:c10f1168bd4a 594 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 56:c10f1168bd4a 595 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
NaotoMorita 56:c10f1168bd4a 596 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 56:c10f1168bd4a 597 Matrix zmag = -dcm*mag-magField;
NaotoMorita 56:c10f1168bd4a 598 Matrix z(2,1);
NaotoMorita 56:c10f1168bd4a 599 z << zmag(1,1) << zmag(2,1);
NaotoMorita 56:c10f1168bd4a 600 errState = K * z;
NaotoMorita 56:c10f1168bd4a 601 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 56:c10f1168bd4a 602 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 603 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 56:c10f1168bd4a 604 fuseErr2Nominal();
NaotoMorita 56:c10f1168bd4a 605 }
NaotoMorita 59:03fe5e16a33c 606 void solaESKF::updateMag(Matrix mag,float palt, Matrix R)
NaotoMorita 59:03fe5e16a33c 607 {
NaotoMorita 59:03fe5e16a33c 608 Matrix dcm(3,3);
NaotoMorita 59:03fe5e16a33c 609 computeDcm(dcm, qhat);
NaotoMorita 59:03fe5e16a33c 610 Matrix a2v = -dcm*MatrixMath::Matrixcross(mag(1,1),mag(2,1),mag(3,1));
NaotoMorita 59:03fe5e16a33c 611
NaotoMorita 59:03fe5e16a33c 612 Matrix H(3,nState);
NaotoMorita 59:03fe5e16a33c 613 for (int i = 1; i < 3; i++){
NaotoMorita 59:03fe5e16a33c 614 for (int j = 1; j < 4; j++){
NaotoMorita 59:03fe5e16a33c 615 H(i,j+6) = a2v(i,j);
NaotoMorita 59:03fe5e16a33c 616 }
NaotoMorita 59:03fe5e16a33c 617 }
NaotoMorita 59:03fe5e16a33c 618 H(1,19) = 1.0f;
NaotoMorita 59:03fe5e16a33c 619 H(3,3) = 1.0f;
NaotoMorita 59:03fe5e16a33c 620 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 59:03fe5e16a33c 621 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
NaotoMorita 59:03fe5e16a33c 622 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 59:03fe5e16a33c 623 Matrix zmag = -dcm*mag-magField;
NaotoMorita 59:03fe5e16a33c 624 Matrix z(3,1);
NaotoMorita 59:03fe5e16a33c 625 z << zmag(1,1) << zmag(2,1) << palt - pihat(3,1);
NaotoMorita 59:03fe5e16a33c 626 errState = K * z;
NaotoMorita 59:03fe5e16a33c 627 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 59:03fe5e16a33c 628 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 629 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 630
NaotoMorita 59:03fe5e16a33c 631 fuseErr2Nominal();
NaotoMorita 59:03fe5e16a33c 632 }
NaotoMorita 59:03fe5e16a33c 633 void solaESKF::updateGPSVelocity(Matrix velgps,Matrix mag,Matrix R)
NaotoMorita 59:03fe5e16a33c 634 {
NaotoMorita 59:03fe5e16a33c 635
NaotoMorita 59:03fe5e16a33c 636 Matrix dcm(3,3);
NaotoMorita 59:03fe5e16a33c 637 computeDcm(dcm, qhat);
NaotoMorita 59:03fe5e16a33c 638 Matrix a2v = -dcm*MatrixMath::Matrixcross(mag(1,1),mag(2,1),mag(3,1));
NaotoMorita 59:03fe5e16a33c 639
NaotoMorita 59:03fe5e16a33c 640
NaotoMorita 59:03fe5e16a33c 641 Matrix H(3,nState);
NaotoMorita 59:03fe5e16a33c 642 H(1,4) = 1.0f;
NaotoMorita 59:03fe5e16a33c 643 H(2,5) = 1.0f;
NaotoMorita 59:03fe5e16a33c 644
NaotoMorita 59:03fe5e16a33c 645 for (int j = 1; j < 4; j++){
NaotoMorita 59:03fe5e16a33c 646 H(3,j+6) = a2v(2,j);
NaotoMorita 59:03fe5e16a33c 647 }
NaotoMorita 59:03fe5e16a33c 648 //H(3,19) = 1.0f;
NaotoMorita 59:03fe5e16a33c 649
NaotoMorita 59:03fe5e16a33c 650 Matrix zmag = -dcm*mag-magField;
NaotoMorita 59:03fe5e16a33c 651
NaotoMorita 59:03fe5e16a33c 652 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 59:03fe5e16a33c 653 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
NaotoMorita 59:03fe5e16a33c 654 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 59:03fe5e16a33c 655 Matrix z(3,1);
NaotoMorita 59:03fe5e16a33c 656 z << velgps(1,1) - vihat(1,1) << velgps(2,1)-vihat(2,1) << zmag(2,1);
NaotoMorita 59:03fe5e16a33c 657 errState = K * z;
NaotoMorita 59:03fe5e16a33c 658 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 59:03fe5e16a33c 659 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 660 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 661 fuseErr2Nominal();
NaotoMorita 59:03fe5e16a33c 662 }
NaotoMorita 56:c10f1168bd4a 663
NaotoMorita 59:03fe5e16a33c 664 void solaESKF::updateGPSPosition(Matrix posgps,float palt,Matrix R)
NaotoMorita 59:03fe5e16a33c 665 {
NaotoMorita 59:03fe5e16a33c 666 Matrix H(3,nState);
NaotoMorita 59:03fe5e16a33c 667 H(1,1) = 1.0f;
NaotoMorita 59:03fe5e16a33c 668 H(2,2) = 1.0f;
NaotoMorita 59:03fe5e16a33c 669 H(3,3) = 1.0f;
NaotoMorita 59:03fe5e16a33c 670
NaotoMorita 59:03fe5e16a33c 671 //Matrix A = H*Phat*MatrixMath::Transpose(H)+R;
NaotoMorita 59:03fe5e16a33c 672 //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+1000.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A));
NaotoMorita 59:03fe5e16a33c 673 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 59:03fe5e16a33c 674 Matrix z(3,1);
NaotoMorita 59:03fe5e16a33c 675 z << posgps(1,1) - pihat(1,1) << posgps(2,1)-pihat(2,1) << palt - pihat(3,1);
NaotoMorita 59:03fe5e16a33c 676 errState = K * z;
NaotoMorita 59:03fe5e16a33c 677 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 59:03fe5e16a33c 678 //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 679 //Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K);
NaotoMorita 59:03fe5e16a33c 680 fuseErr2Nominal();
NaotoMorita 59:03fe5e16a33c 681 }
NaotoMorita 61:5e5c4fe12440 682
NaotoMorita 61:5e5c4fe12440 683 void solaESKF::updateImuConstraints(Matrix acc,Matrix mag,Matrix R)
NaotoMorita 61:5e5c4fe12440 684 {
NaotoMorita 61:5e5c4fe12440 685 Matrix accm = acc - accBias;
NaotoMorita 61:5e5c4fe12440 686 Matrix magm = mag - magBias;
NaotoMorita 61:5e5c4fe12440 687 Matrix dcm(3,3);
NaotoMorita 61:5e5c4fe12440 688 computeDcm(dcm, qhat);
NaotoMorita 61:5e5c4fe12440 689 Matrix tdcm = MatrixMath::Transpose(dcm);
NaotoMorita 61:5e5c4fe12440 690 Matrix tdcm_g = tdcm*gravity;
NaotoMorita 61:5e5c4fe12440 691 Matrix rotgrav = MatrixMath::Matrixcross(tdcm_g(1,1),tdcm_g(2,1),tdcm_g(3,1));
NaotoMorita 61:5e5c4fe12440 692 Matrix rotmag = -dcm*MatrixMath::Matrixcross(magm(1,1),magm(2,1),magm(3,1));
NaotoMorita 61:5e5c4fe12440 693
NaotoMorita 61:5e5c4fe12440 694 Matrix H(5,nState);
NaotoMorita 61:5e5c4fe12440 695 for (int i = 1; i < 4; i++){
NaotoMorita 61:5e5c4fe12440 696 for (int j = 1; j < 4; j++){
NaotoMorita 61:5e5c4fe12440 697 H(i,j+6) = rotgrav(i,j);
NaotoMorita 61:5e5c4fe12440 698 }
NaotoMorita 61:5e5c4fe12440 699 H(i,16) = tdcm(i,3);
NaotoMorita 61:5e5c4fe12440 700 }
NaotoMorita 61:5e5c4fe12440 701
NaotoMorita 61:5e5c4fe12440 702 H(1,10) = -1.0f;
NaotoMorita 61:5e5c4fe12440 703 H(2,11) = -1.0f;
NaotoMorita 61:5e5c4fe12440 704 H(3,12) = -1.0f;
NaotoMorita 61:5e5c4fe12440 705
NaotoMorita 61:5e5c4fe12440 706 Matrix magned = dcm*magm;
NaotoMorita 61:5e5c4fe12440 707 float hx = sqrt(magned(1,1)*magned(1,1)+magned(2,1)*magned(2,1));
NaotoMorita 61:5e5c4fe12440 708
NaotoMorita 61:5e5c4fe12440 709 for(int j = 1; j < 4; j++){
NaotoMorita 61:5e5c4fe12440 710 H(4,j+6) = rotmag(1,j)-(rotmag(1,j)+rotmag(2,j))/hx;
NaotoMorita 61:5e5c4fe12440 711 H(4,j+16) = -dcm(1,j)+(dcm(1,j)+dcm(2,j))/hx;
NaotoMorita 61:5e5c4fe12440 712 H(5,j+6) = rotmag(2,j);
NaotoMorita 61:5e5c4fe12440 713 H(5,j+16) = -dcm(2,j);
NaotoMorita 61:5e5c4fe12440 714 }
NaotoMorita 61:5e5c4fe12440 715
NaotoMorita 61:5e5c4fe12440 716 Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R);
NaotoMorita 61:5e5c4fe12440 717 Matrix zacc = -accm-tdcm*gravity;
NaotoMorita 61:5e5c4fe12440 718 Matrix zmag = dcm*magm;
NaotoMorita 61:5e5c4fe12440 719 Matrix z(5,1);
NaotoMorita 61:5e5c4fe12440 720 z << zacc(1,1) << zacc(2,1) << zacc(3,1) << -(zmag(1,1) - hx) << -zmag(2,1);
NaotoMorita 61:5e5c4fe12440 721 twelite.printf("%f %f\r\n",hx,(zmag(1,1) - hx));
NaotoMorita 61:5e5c4fe12440 722 errState = K * z;
NaotoMorita 61:5e5c4fe12440 723 Phat = (MatrixMath::Eye(nState)-K*H)*Phat;
NaotoMorita 61:5e5c4fe12440 724
NaotoMorita 61:5e5c4fe12440 725 fuseErr2Nominal();
NaotoMorita 61:5e5c4fe12440 726 }
NaotoMorita 73:5770a0d470c0 727 float q0 = qhat(1,1);
NaotoMorita 73:5770a0d470c0 728 float q1 = qhat(2,1);
NaotoMorita 73:5770a0d470c0 729 float q2 = qhat(3,1);
NaotoMorita 73:5770a0d470c0 730 float q3 = qhat(4,1);
NaotoMorita 73:5770a0d470c0 731
NaotoMorita 73:5770a0d470c0 732 float d0 = (-q3*q3-q2*q2+q1*q1+q0*q0);
NaotoMorita 73:5770a0d470c0 733 float q0q3q1q2 = (q0*q3+q1*q2);
NaotoMorita 73:5770a0d470c0 734 float h1lower = 2.0f*(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f)*sqrt(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f);
NaotoMorita 73:5770a0d470c0 735
NaotoMorita 73:5770a0d470c0 736 float d1 = d0*sqrt(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f);
NaotoMorita 73:5770a0d470c0 737 float d2 = d0*d0*sqrt(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f);
NaotoMorita 73:5770a0d470c0 738 float d3 = d0*sqrt(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f)*(4.0f*q0q3q1q2*q0q3q1q2/d0/d0+1.0f);
NaotoMorita 73:5770a0d470c0 739
NaotoMorita 73:5770a0d470c0 740
NaotoMorita 73:5770a0d470c0 741
NaotoMorita 73:5770a0d470c0 742 Matrix Hh(2,4);
NaotoMorita 73:5770a0d470c0 743 Hh(1,1) = -(8.0f*q3*q0q3q1q2/d0/d0-16.0f*q0*q0q3q1q2*q0q3q1q2/d0/d0/d0)/h1lower;
NaotoMorita 73:5770a0d470c0 744 Hh(1,2) = -(8.0f*q2*q0q3q1q2/d0/d0-16.0f*q1*q0q3q1q2*q0q3q1q2/d0/d0/d0)/h1lower;
NaotoMorita 73:5770a0d470c0 745 Hh(1,3) = -(8.0f*q1*q0q3q1q2/d0/d0-16.0f*q2*q0q3q1q2*q0q3q1q2/d0/d0/d0)/h1lower;
NaotoMorita 73:5770a0d470c0 746 Hh(1,4) = -(8.0f*q0*q0q3q1q2/d0/d0-16.0f*q3*q0q3q1q2*q0q3q1q2/d0/d0/d0)/h1lower;
NaotoMorita 73:5770a0d470c0 747
NaotoMorita 73:5770a0d470c0 748 Hh(2,1) = 2.0f*q3/d1-4.0f*q0*q0q3q1q2/d2-q0q3q1q2*(8.0f*q3*q0q3q1q2/d0/d0-16.0f*q0*q0q3q1q2*q0q3q1q2/d0/d0/d0)/d3;
NaotoMorita 73:5770a0d470c0 749 Hh(2,2) = 2.0f*q2/d1-4.0f*q1*q0q3q1q2/d2-q0q3q1q2*(8.0f*q2*q0q3q1q2/d0/d0-16.0f*q1*q0q3q1q2*q0q3q1q2/d0/d0/d0)/d3;
NaotoMorita 73:5770a0d470c0 750 Hh(2,3) = 2.0f*q1/d1+4.0f*q2*q0q3q1q2/d2-q0q3q1q2*(8.0f*q1*q0q3q1q2/d0/d0-16.0f*q2*q0q3q1q2*q0q3q1q2/d0/d0/d0)/d3;
NaotoMorita 73:5770a0d470c0 751 Hh(2,4) = 2.0f*q0/d1+4.0f*q3*q0q3q1q2/d2-q0q3q1q2*(8.0f*q0*q0q3q1q2/d0/d0-16.0f*q3*q0q3q1q2*q0q3q1q2/d0/d0/d0)/d3;
NaotoMorita 56:c10f1168bd4a 752 */