Eigen
Dependencies: Eigen
Dependents: optWingforHAPS_Eigen hexaTest_Eigen
solaESKF.cpp@49:0a1976eb5420, 2021-10-29 (annotated)
- Committer:
- NaotoMorita
- Date:
- Fri Oct 29 13:35:28 2021 +0000
- Revision:
- 49:0a1976eb5420
- Parent:
- 48:06ed39e3376e
high order update
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
NaotoMorita | 44:7d82e63b6a86 | 1 | #include "solaESKF.hpp" |
NaotoMorita | 19:3fae66745363 | 2 | #include "Matrix.h" |
NaotoMorita | 19:3fae66745363 | 3 | #include "MatrixMath.h" |
NaotoMorita | 19:3fae66745363 | 4 | #include <cmath> |
NaotoMorita | 19:3fae66745363 | 5 | |
NaotoMorita | 19:3fae66745363 | 6 | |
NaotoMorita | 44:7d82e63b6a86 | 7 | solaESKF::solaESKF() |
NaotoMorita | 46:15988dc41923 | 8 | :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) |
NaotoMorita | 19:3fae66745363 | 9 | { |
NaotoMorita | 46:15988dc41923 | 10 | pihat << 0.0f << 0.0f << 0.0f; |
NaotoMorita | 46:15988dc41923 | 11 | vihat << 0.0f << 0.0f << 0.0f; |
NaotoMorita | 46:15988dc41923 | 12 | qhat << 1.0f << 0.0f << 0.0f << 0.0f; |
NaotoMorita | 46:15988dc41923 | 13 | accBias << 0.0f << 0.0f << 0.0f; |
NaotoMorita | 46:15988dc41923 | 14 | gyroBias << 0.0f << 0.0f << 0.0f; |
NaotoMorita | 46:15988dc41923 | 15 | gravity << 0.0f << 0.0f << 9.8f; |
NaotoMorita | 46:15988dc41923 | 16 | |
NaotoMorita | 46:15988dc41923 | 17 | for (int i = 1; i < 19; i++){ |
NaotoMorita | 46:15988dc41923 | 18 | errState(i,1) = 0.0f; |
NaotoMorita | 46:15988dc41923 | 19 | for (int j = 1; j < 19; j++){ |
NaotoMorita | 46:15988dc41923 | 20 | Phat(i,j) = 0.0f; |
NaotoMorita | 46:15988dc41923 | 21 | Q(i,j) = 0.0f; |
NaotoMorita | 46:15988dc41923 | 22 | } |
NaotoMorita | 46:15988dc41923 | 23 | } |
NaotoMorita | 44:7d82e63b6a86 | 24 | |
NaotoMorita | 44:7d82e63b6a86 | 25 | |
NaotoMorita | 21:d6079def0473 | 26 | nState = errState.getRows(); |
NaotoMorita | 47:2467de40951f | 27 | |
NaotoMorita | 46:15988dc41923 | 28 | setBlockDiag(Phat,0.1f,1,3);//position |
NaotoMorita | 46:15988dc41923 | 29 | setBlockDiag(Phat,0.1f,4,6);//velocity |
NaotoMorita | 46:15988dc41923 | 30 | setBlockDiag(Phat,0.1f,7,9);//angle error |
NaotoMorita | 47:2467de40951f | 31 | setBlockDiag(Phat,0.1f,10,12);//acc bias |
NaotoMorita | 47:2467de40951f | 32 | setBlockDiag(Phat,0.1f,13,15);//gyro bias |
NaotoMorita | 47:2467de40951f | 33 | setBlockDiag(Phat,0.00000001f,16,18);//gravity |
NaotoMorita | 47:2467de40951f | 34 | setBlockDiag(Q,0.00025f,4,6);//velocity |
NaotoMorita | 47:2467de40951f | 35 | setBlockDiag(Q,0.005f/57.0,7,9);//angle error |
NaotoMorita | 46:15988dc41923 | 36 | setBlockDiag(Q,0.001f,10,12);//acc bias |
NaotoMorita | 46:15988dc41923 | 37 | setBlockDiag(Q,0.001f,13,15);//gyro bias //positionとgravityはQ項なし |
NaotoMorita | 19:3fae66745363 | 38 | |
NaotoMorita | 19:3fae66745363 | 39 | |
NaotoMorita | 19:3fae66745363 | 40 | } |
NaotoMorita | 19:3fae66745363 | 41 | |
NaotoMorita | 47:2467de40951f | 42 | |
NaotoMorita | 44:7d82e63b6a86 | 43 | void solaESKF::updateNominal(Matrix acc, Matrix gyro,float att_dt) |
NaotoMorita | 19:3fae66745363 | 44 | { |
NaotoMorita | 44:7d82e63b6a86 | 45 | Matrix gyrom = gyro - gyroBias; |
NaotoMorita | 44:7d82e63b6a86 | 46 | Matrix accm = acc - accBias; |
NaotoMorita | 44:7d82e63b6a86 | 47 | |
NaotoMorita | 44:7d82e63b6a86 | 48 | Matrix qint(4,1); |
NaotoMorita | 46:15988dc41923 | 49 | qint << 1.0f << 0.5f*gyrom(1,1)*att_dt << 0.5f*gyrom(2,1)*att_dt << 0.5f*gyrom(3,1)*att_dt; |
NaotoMorita | 44:7d82e63b6a86 | 50 | qhat = quatmultiply(qhat,qint); |
NaotoMorita | 19:3fae66745363 | 51 | float qnorm = sqrt(MatrixMath::dot(MatrixMath::Transpose(qhat),qhat)); |
NaotoMorita | 19:3fae66745363 | 52 | qhat *= (1.0f/ qnorm); |
NaotoMorita | 23:1509648c2318 | 53 | |
NaotoMorita | 23:1509648c2318 | 54 | Matrix dcm(3,3); |
NaotoMorita | 23:1509648c2318 | 55 | computeDcm(dcm, qhat); |
NaotoMorita | 46:15988dc41923 | 56 | Matrix accned = dcm*accm+gravity; |
NaotoMorita | 44:7d82e63b6a86 | 57 | vihat += accned*att_dt; |
NaotoMorita | 44:7d82e63b6a86 | 58 | |
NaotoMorita | 44:7d82e63b6a86 | 59 | pihat += vihat*att_dt+0.5f*accned*att_dt*att_dt; |
NaotoMorita | 19:3fae66745363 | 60 | } |
NaotoMorita | 19:3fae66745363 | 61 | |
NaotoMorita | 44:7d82e63b6a86 | 62 | void solaESKF::updateErrState(Matrix acc,Matrix gyro,float att_dt) |
NaotoMorita | 23:1509648c2318 | 63 | { |
NaotoMorita | 44:7d82e63b6a86 | 64 | Matrix gyrom = gyro - gyroBias; |
NaotoMorita | 44:7d82e63b6a86 | 65 | Matrix accm = acc - accBias; |
NaotoMorita | 48:06ed39e3376e | 66 | |
NaotoMorita | 23:1509648c2318 | 67 | Matrix dcm(3,3); |
NaotoMorita | 23:1509648c2318 | 68 | computeDcm(dcm, qhat); |
NaotoMorita | 48:06ed39e3376e | 69 | Matrix a2v = -dcm*MatrixMath::Matrixcross(accm(1,1),accm(2,1),accm(3,1))*att_dt; |
NaotoMorita | 48:06ed39e3376e | 70 | Matrix a2v2 = 0.5f*a2v*att_dt; |
NaotoMorita | 48:06ed39e3376e | 71 | |
NaotoMorita | 48:06ed39e3376e | 72 | Matrix Fx(nState,nState); |
NaotoMorita | 44:7d82e63b6a86 | 73 | //position |
NaotoMorita | 48:06ed39e3376e | 74 | Fx(1,1) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 75 | Fx(2,2) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 76 | Fx(3,3) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 77 | Fx(1,4) = 1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 78 | Fx(2,5) = 1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 79 | Fx(3,6) = 1.0f*att_dt; |
NaotoMorita | 46:15988dc41923 | 80 | for (int i = 1; i < 4; i++){ |
NaotoMorita | 46:15988dc41923 | 81 | for (int j = 1; j < 4; j++){ |
NaotoMorita | 48:06ed39e3376e | 82 | Fx(i,j+6) = a2v2(i,j); |
NaotoMorita | 48:06ed39e3376e | 83 | Fx(i,j+9) = -0.5f*dcm(i,j)*att_dt*att_dt; |
NaotoMorita | 48:06ed39e3376e | 84 | } |
NaotoMorita | 48:06ed39e3376e | 85 | Fx(i,i+15) = 0.5f*att_dt*att_dt; |
NaotoMorita | 48:06ed39e3376e | 86 | } |
NaotoMorita | 48:06ed39e3376e | 87 | |
NaotoMorita | 47:2467de40951f | 88 | |
NaotoMorita | 48:06ed39e3376e | 89 | //velocity |
NaotoMorita | 48:06ed39e3376e | 90 | Fx(4,4) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 91 | Fx(5,5) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 92 | Fx(6,6) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 93 | for (int i = 1; i < 4; i++){ |
NaotoMorita | 48:06ed39e3376e | 94 | for (int j = 1; j < 4; j++){ |
NaotoMorita | 48:06ed39e3376e | 95 | Fx(i+3,j+6) = a2v(i,j); |
NaotoMorita | 48:06ed39e3376e | 96 | Fx(i+3,j+9) = -dcm(i,j)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 97 | Fx(i+3,j+12) = -a2v2(i,j); |
NaotoMorita | 23:1509648c2318 | 98 | } |
NaotoMorita | 23:1509648c2318 | 99 | } |
NaotoMorita | 48:06ed39e3376e | 100 | Fx(4,16) = 1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 101 | Fx(5,17) = 1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 102 | Fx(6,18) = 1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 103 | |
NaotoMorita | 44:7d82e63b6a86 | 104 | //angulat error |
NaotoMorita | 48:06ed39e3376e | 105 | Fx(7,7) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 106 | Fx(8,8) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 107 | Fx(9,9) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 108 | Fx(7,8) = gyrom(3,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 109 | Fx(7,9) = -gyrom(2,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 110 | Fx(8,7) = -gyrom(3,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 111 | Fx(8,9) = gyrom(1,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 112 | Fx(9,7) = gyrom(2,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 113 | Fx(9,8) = -gyrom(1,1)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 114 | Fx(7,13) = -1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 115 | Fx(8,14) = -1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 116 | Fx(9,15) = -1.0f*att_dt; |
NaotoMorita | 48:06ed39e3376e | 117 | |
NaotoMorita | 48:06ed39e3376e | 118 | //acc bias |
NaotoMorita | 48:06ed39e3376e | 119 | Fx(10,10) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 120 | Fx(11,11) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 121 | Fx(12,12) = 1.0f; |
NaotoMorita | 47:2467de40951f | 122 | |
NaotoMorita | 48:06ed39e3376e | 123 | //gyro bias |
NaotoMorita | 48:06ed39e3376e | 124 | Fx(13,13) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 125 | Fx(14,14) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 126 | Fx(15,15) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 127 | |
NaotoMorita | 48:06ed39e3376e | 128 | //gravity bias |
NaotoMorita | 48:06ed39e3376e | 129 | Fx(16,16) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 130 | Fx(17,17) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 131 | Fx(18,18) = 1.0f; |
NaotoMorita | 48:06ed39e3376e | 132 | |
NaotoMorita | 44:7d82e63b6a86 | 133 | errState = Fx * errState; |
NaotoMorita | 48:06ed39e3376e | 134 | Phat = Fx*Phat*MatrixMath::Transpose(Fx)+Q*att_dt*att_dt; |
NaotoMorita | 48:06ed39e3376e | 135 | Matrix Qi(nState,nState); |
NaotoMorita | 48:06ed39e3376e | 136 | for (int i = 1; i < 4; i++){ |
NaotoMorita | 48:06ed39e3376e | 137 | Qi(i,i) = 0.0f; |
NaotoMorita | 48:06ed39e3376e | 138 | } |
NaotoMorita | 48:06ed39e3376e | 139 | for (int i = 4; i < 10; i++){ |
NaotoMorita | 48:06ed39e3376e | 140 | Qi(i,i) = Q(i,i)*att_dt*att_dt; |
NaotoMorita | 48:06ed39e3376e | 141 | } |
NaotoMorita | 48:06ed39e3376e | 142 | for (int i = 10; i < 16; i++){ |
NaotoMorita | 48:06ed39e3376e | 143 | Qi(i,i) = Q(i,i)*att_dt; |
NaotoMorita | 48:06ed39e3376e | 144 | } |
NaotoMorita | 48:06ed39e3376e | 145 | for (int i = 16; i < 19; i++){ |
NaotoMorita | 48:06ed39e3376e | 146 | Qi(i,i) = 0.0f; |
NaotoMorita | 48:06ed39e3376e | 147 | } |
NaotoMorita | 48:06ed39e3376e | 148 | Phat = Fx*Phat*MatrixMath::Transpose(Fx)+Qi; |
NaotoMorita | 25:07ac5c6cd61c | 149 | } |
NaotoMorita | 25:07ac5c6cd61c | 150 | |
NaotoMorita | 46:15988dc41923 | 151 | void solaESKF::updateAccConstraints(Matrix acc,Matrix R) |
NaotoMorita | 46:15988dc41923 | 152 | { |
NaotoMorita | 46:15988dc41923 | 153 | Matrix accm = acc - accBias; |
NaotoMorita | 46:15988dc41923 | 154 | Matrix tdcm(3,3); |
NaotoMorita | 46:15988dc41923 | 155 | computeDcm(tdcm, qhat); |
NaotoMorita | 46:15988dc41923 | 156 | tdcm = MatrixMath::Transpose(tdcm); |
NaotoMorita | 46:15988dc41923 | 157 | Matrix tdcm_g = tdcm*gravity; |
NaotoMorita | 46:15988dc41923 | 158 | Matrix a2v = MatrixMath::Matrixcross(tdcm_g(1,1),tdcm_g(2,1),tdcm_g(3,1)); |
NaotoMorita | 46:15988dc41923 | 159 | |
NaotoMorita | 46:15988dc41923 | 160 | Matrix H(3,nState); |
NaotoMorita | 46:15988dc41923 | 161 | for (int i = 1; i < 4; i++){ |
NaotoMorita | 46:15988dc41923 | 162 | for (int j = 1; j < 4; j++){ |
NaotoMorita | 46:15988dc41923 | 163 | H(i,j+6) = a2v(i,j); |
NaotoMorita | 46:15988dc41923 | 164 | H(i,j+15) = tdcm(i,j); |
NaotoMorita | 46:15988dc41923 | 165 | } |
NaotoMorita | 46:15988dc41923 | 166 | } |
NaotoMorita | 46:15988dc41923 | 167 | H(1,10) = -1.0f; |
NaotoMorita | 46:15988dc41923 | 168 | H(2,11) = -1.0f; |
NaotoMorita | 46:15988dc41923 | 169 | H(3,12) = -1.0f; |
NaotoMorita | 46:15988dc41923 | 170 | |
NaotoMorita | 47:2467de40951f | 171 | //Matrix A = H*Phat*MatrixMath::Transpose(H)+R; |
NaotoMorita | 47:2467de40951f | 172 | //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A)); |
NaotoMorita | 47:2467de40951f | 173 | Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R); |
NaotoMorita | 46:15988dc41923 | 174 | Matrix z = -accm-tdcm*gravity; |
NaotoMorita | 46:15988dc41923 | 175 | errState = K * z; |
NaotoMorita | 47:2467de40951f | 176 | //Phat = (MatrixMath::Eye(nState)-K*H)*Phat; |
NaotoMorita | 47:2467de40951f | 177 | //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 178 | Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 179 | } |
NaotoMorita | 46:15988dc41923 | 180 | |
NaotoMorita | 46:15988dc41923 | 181 | void solaESKF::updateGyroConstraints(Matrix gyro,Matrix R) |
NaotoMorita | 46:15988dc41923 | 182 | { |
NaotoMorita | 46:15988dc41923 | 183 | Matrix gyrom = gyro - gyroBias; |
NaotoMorita | 46:15988dc41923 | 184 | Matrix dcm(3,3); |
NaotoMorita | 46:15988dc41923 | 185 | computeDcm(dcm, qhat); |
NaotoMorita | 46:15988dc41923 | 186 | Matrix a2v = -dcm*MatrixMath::Matrixcross(gyrom(1,1),gyrom(2,1),gyrom(3,1)); |
NaotoMorita | 46:15988dc41923 | 187 | |
NaotoMorita | 46:15988dc41923 | 188 | Matrix H(2,nState); |
NaotoMorita | 46:15988dc41923 | 189 | for (int i = 1; i < 3; i++){ |
NaotoMorita | 46:15988dc41923 | 190 | for (int j = 1; j < 4; j++){ |
NaotoMorita | 46:15988dc41923 | 191 | H(i,j+6) = a2v(i,j); |
NaotoMorita | 46:15988dc41923 | 192 | H(i,j+12) = -dcm(i,j); |
NaotoMorita | 46:15988dc41923 | 193 | } |
NaotoMorita | 46:15988dc41923 | 194 | } |
NaotoMorita | 46:15988dc41923 | 195 | |
NaotoMorita | 47:2467de40951f | 196 | //Matrix A = H*Phat*MatrixMath::Transpose(H)+R; |
NaotoMorita | 47:2467de40951f | 197 | //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(2))*MatrixMath::Transpose(A)); |
NaotoMorita | 47:2467de40951f | 198 | Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R); |
NaotoMorita | 46:15988dc41923 | 199 | |
NaotoMorita | 46:15988dc41923 | 200 | Matrix z3 = -dcm*gyrom; |
NaotoMorita | 46:15988dc41923 | 201 | Matrix z(2,1); |
NaotoMorita | 46:15988dc41923 | 202 | z << z3(1,1) << z3(2,1); |
NaotoMorita | 46:15988dc41923 | 203 | errState = K * z; |
NaotoMorita | 47:2467de40951f | 204 | //Phat = (MatrixMath::Eye(nState)-K*H)*Phat; |
NaotoMorita | 47:2467de40951f | 205 | //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 206 | Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 207 | } |
NaotoMorita | 46:15988dc41923 | 208 | |
NaotoMorita | 46:15988dc41923 | 209 | |
NaotoMorita | 46:15988dc41923 | 210 | void solaESKF::updateGPSVelocity(Matrix velgps,Matrix R) |
NaotoMorita | 19:3fae66745363 | 211 | { |
osaka | 40:119792aa6d3b | 212 | |
NaotoMorita | 43:cbc2c2d65131 | 213 | Matrix H(3,nState); |
NaotoMorita | 46:15988dc41923 | 214 | H(1,4) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 215 | H(2,5) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 216 | H(3,6) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 217 | |
NaotoMorita | 47:2467de40951f | 218 | //Matrix A = H*Phat*MatrixMath::Transpose(H)+R; |
NaotoMorita | 47:2467de40951f | 219 | //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A)); |
NaotoMorita | 47:2467de40951f | 220 | Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R); |
NaotoMorita | 46:15988dc41923 | 221 | Matrix z(3,1); |
NaotoMorita | 46:15988dc41923 | 222 | z << velgps(1,1) - vihat(1,1) << velgps(2,1)-vihat(2,1) << velgps(3,1) - vihat(3,1); |
NaotoMorita | 46:15988dc41923 | 223 | errState = K * z; |
NaotoMorita | 47:2467de40951f | 224 | //Phat = (MatrixMath::Eye(nState)-K*H)*Phat; |
NaotoMorita | 46:15988dc41923 | 225 | //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 226 | Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 227 | } |
NaotoMorita | 43:cbc2c2d65131 | 228 | |
NaotoMorita | 46:15988dc41923 | 229 | void solaESKF::updateGPSPosition(Matrix posgps,Matrix R) |
NaotoMorita | 46:15988dc41923 | 230 | { |
NaotoMorita | 46:15988dc41923 | 231 | Matrix H(3,nState); |
NaotoMorita | 46:15988dc41923 | 232 | H(1,1) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 233 | H(2,2) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 234 | H(3,3) = 1.0f; |
osaka | 40:119792aa6d3b | 235 | |
NaotoMorita | 47:2467de40951f | 236 | //Matrix A = H*Phat*MatrixMath::Transpose(H)+R; |
NaotoMorita | 47:2467de40951f | 237 | //Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+1000.0f*MatrixMath::Eye(3))*MatrixMath::Transpose(A)); |
NaotoMorita | 47:2467de40951f | 238 | Matrix K = (Phat*MatrixMath::Transpose(H))*MatrixMath::Inv(H*Phat*MatrixMath::Transpose(H)+R); |
NaotoMorita | 43:cbc2c2d65131 | 239 | Matrix z(3,1); |
NaotoMorita | 46:15988dc41923 | 240 | z << posgps(1,1) - pihat(1,1) << posgps(2,1)-pihat(2,1) << posgps(3,1) - pihat(3,1); |
NaotoMorita | 46:15988dc41923 | 241 | errState = K * z; |
NaotoMorita | 47:2467de40951f | 242 | //Phat = (MatrixMath::Eye(nState)-K*H)*Phat; |
NaotoMorita | 46:15988dc41923 | 243 | //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 244 | Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K); |
NaotoMorita | 19:3fae66745363 | 245 | } |
NaotoMorita | 46:15988dc41923 | 246 | |
NaotoMorita | 46:15988dc41923 | 247 | void solaESKF::updateGPS(Matrix posgps,Matrix velgps,Matrix R) |
NaotoMorita | 46:15988dc41923 | 248 | { |
NaotoMorita | 46:15988dc41923 | 249 | |
NaotoMorita | 46:15988dc41923 | 250 | Matrix H(6,nState); |
NaotoMorita | 46:15988dc41923 | 251 | H(1,1) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 252 | H(2,2) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 253 | H(3,3) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 254 | H(4,4) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 255 | H(5,5) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 256 | H(6,6) = 1.0f; |
NaotoMorita | 46:15988dc41923 | 257 | |
NaotoMorita | 46:15988dc41923 | 258 | Matrix A = H*Phat*MatrixMath::Transpose(H)+R; |
NaotoMorita | 46:15988dc41923 | 259 | Matrix K = (Phat*MatrixMath::Transpose(H))*(MatrixMath::Inv(MatrixMath::Transpose(A)*A+10.0f*MatrixMath::Eye(6))*MatrixMath::Transpose(A)); |
NaotoMorita | 46:15988dc41923 | 260 | Matrix z(6,1); |
NaotoMorita | 46:15988dc41923 | 261 | z << posgps(1,1) - pihat(1,1) << posgps(2,1)-pihat(2,1) << posgps(3,1) - pihat(3,1) << velgps(1,1) - vihat(1,1) << velgps(2,1)-vihat(2,1) << velgps(3,1) - vihat(3,1); |
NaotoMorita | 46:15988dc41923 | 262 | errState = K * z; |
NaotoMorita | 46:15988dc41923 | 263 | //Phat = Phat-K*(H*Phat*MatrixMath::Transpose(H)+R)*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 264 | Phat = (MatrixMath::Eye(nState)-K*H)*Phat*MatrixMath::Transpose(MatrixMath::Eye(nState)-K*H)+K*R*MatrixMath::Transpose(K); |
NaotoMorita | 46:15988dc41923 | 265 | } |
NaotoMorita | 46:15988dc41923 | 266 | |
NaotoMorita | 44:7d82e63b6a86 | 267 | Matrix solaESKF::computeAngles() |
NaotoMorita | 25:07ac5c6cd61c | 268 | { |
NaotoMorita | 25:07ac5c6cd61c | 269 | |
NaotoMorita | 44:7d82e63b6a86 | 270 | Matrix euler(3,1); |
NaotoMorita | 44:7d82e63b6a86 | 271 | euler(1,1) = atan2f(qhat(1,1)*qhat(2,1) + qhat(3,1)*qhat(4,1), 0.5f - qhat(2,1)*qhat(2,1) - qhat(3,1)*qhat(3,1)); |
NaotoMorita | 44:7d82e63b6a86 | 272 | euler(2,1) = asinf(-2.0f * (qhat(2,1)*qhat(4,1) - qhat(1,1)*qhat(3,1))); |
NaotoMorita | 44:7d82e63b6a86 | 273 | euler(3,1) = atan2f(qhat(2,1)*qhat(3,1) + qhat(1,1)*qhat(4,1), 0.5f - qhat(3,1)*qhat(3,1) - qhat(4,1)*qhat(4,1)); |
NaotoMorita | 44:7d82e63b6a86 | 274 | return euler; |
NaotoMorita | 19:3fae66745363 | 275 | } |
NaotoMorita | 19:3fae66745363 | 276 | |
NaotoMorita | 21:d6079def0473 | 277 | |
NaotoMorita | 44:7d82e63b6a86 | 278 | void solaESKF::fuseErr2Nominal() |
NaotoMorita | 19:3fae66745363 | 279 | { |
NaotoMorita | 44:7d82e63b6a86 | 280 | //position |
NaotoMorita | 44:7d82e63b6a86 | 281 | pihat(1,1) += errState(1,1); |
NaotoMorita | 44:7d82e63b6a86 | 282 | pihat(2,1) += errState(2,1); |
NaotoMorita | 44:7d82e63b6a86 | 283 | pihat(3,1) += errState(3,1); |
NaotoMorita | 44:7d82e63b6a86 | 284 | |
NaotoMorita | 44:7d82e63b6a86 | 285 | //velocity |
NaotoMorita | 44:7d82e63b6a86 | 286 | vihat(1,1) += errState(4,1); |
NaotoMorita | 44:7d82e63b6a86 | 287 | vihat(2,1) += errState(5,1); |
NaotoMorita | 44:7d82e63b6a86 | 288 | vihat(3,1) += errState(6,1); |
NaotoMorita | 44:7d82e63b6a86 | 289 | |
NaotoMorita | 44:7d82e63b6a86 | 290 | //angle error |
NaotoMorita | 19:3fae66745363 | 291 | Matrix qerr(4,1); |
NaotoMorita | 46:15988dc41923 | 292 | qerr << 1.0f << 0.5f*errState(7,1) << 0.5f*errState(8,1) << 0.5f*errState(9,1); |
NaotoMorita | 19:3fae66745363 | 293 | qhat = quatmultiply(qhat, qerr); |
NaotoMorita | 19:3fae66745363 | 294 | float qnorm = sqrt(MatrixMath::dot(MatrixMath::Transpose(qhat),qhat)); |
NaotoMorita | 19:3fae66745363 | 295 | qhat *= (1.0f/ qnorm); |
NaotoMorita | 23:1509648c2318 | 296 | |
NaotoMorita | 44:7d82e63b6a86 | 297 | //acc bias |
NaotoMorita | 44:7d82e63b6a86 | 298 | accBias(1,1) += errState(10,1); |
NaotoMorita | 44:7d82e63b6a86 | 299 | accBias(2,1) += errState(11,1); |
NaotoMorita | 44:7d82e63b6a86 | 300 | accBias(3,1) += errState(12,1); |
NaotoMorita | 44:7d82e63b6a86 | 301 | |
NaotoMorita | 44:7d82e63b6a86 | 302 | //gyro bias |
NaotoMorita | 44:7d82e63b6a86 | 303 | gyroBias(1,1) += errState(13,1); |
NaotoMorita | 44:7d82e63b6a86 | 304 | gyroBias(2,1) += errState(14,1); |
NaotoMorita | 44:7d82e63b6a86 | 305 | gyroBias(3,1) += errState(15,1); |
NaotoMorita | 44:7d82e63b6a86 | 306 | |
NaotoMorita | 44:7d82e63b6a86 | 307 | //gravity bias |
NaotoMorita | 44:7d82e63b6a86 | 308 | gravity(1,1) += errState(16,1); |
NaotoMorita | 44:7d82e63b6a86 | 309 | gravity(2,1) += errState(17,1); |
NaotoMorita | 44:7d82e63b6a86 | 310 | gravity(3,1) += errState(18,1); |
NaotoMorita | 47:2467de40951f | 311 | |
NaotoMorita | 47:2467de40951f | 312 | for (int i = 1; i < 19; i++){ |
NaotoMorita | 47:2467de40951f | 313 | errState(i,1) = 0.0f; |
NaotoMorita | 47:2467de40951f | 314 | } |
NaotoMorita | 44:7d82e63b6a86 | 315 | |
NaotoMorita | 19:3fae66745363 | 316 | } |
NaotoMorita | 19:3fae66745363 | 317 | |
NaotoMorita | 44:7d82e63b6a86 | 318 | Matrix solaESKF::quatmultiply(Matrix p, Matrix q) |
NaotoMorita | 19:3fae66745363 | 319 | { |
NaotoMorita | 44:7d82e63b6a86 | 320 | |
NaotoMorita | 19:3fae66745363 | 321 | Matrix qout(4,1); |
NaotoMorita | 44:7d82e63b6a86 | 322 | qout(1,1) = p(1,1)*q(1,1) - p(2,1)*q(2,1) - p(3,1)*q(3,1) - p(4,1)*q(4,1); |
NaotoMorita | 44:7d82e63b6a86 | 323 | qout(2,1) = p(1,1)*q(2,1) + p(2,1)*q(1,1) + p(3,1)*q(4,1) - p(4,1)*q(3,1); |
NaotoMorita | 44:7d82e63b6a86 | 324 | qout(3,1) = p(1,1)*q(3,1) - p(2,1)*q(4,1) + p(3,1)*q(1,1) + p(4,1)*q(2,1); |
NaotoMorita | 44:7d82e63b6a86 | 325 | qout(4,1) = p(1,1)*q(4,1) + p(2,1)*q(3,1) - p(3,1)*q(2,1) + p(4,1)*q(1,1); |
NaotoMorita | 19:3fae66745363 | 326 | float qnorm = sqrt(MatrixMath::dot(MatrixMath::Transpose(qout),qout)); |
NaotoMorita | 19:3fae66745363 | 327 | qout *= (1.0f/ qnorm); |
NaotoMorita | 19:3fae66745363 | 328 | return qout; |
NaotoMorita | 19:3fae66745363 | 329 | } |
NaotoMorita | 19:3fae66745363 | 330 | |
NaotoMorita | 44:7d82e63b6a86 | 331 | void solaESKF::computeDcm(Matrix& dcm, Matrix quat) |
NaotoMorita | 19:3fae66745363 | 332 | { |
NaotoMorita | 19:3fae66745363 | 333 | |
NaotoMorita | 44:7d82e63b6a86 | 334 | 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); |
NaotoMorita | 44:7d82e63b6a86 | 335 | dcm(1,2) = 2.0f*(quat(2,1)*quat(3,1) - quat(1,1)*quat(4,1)); |
NaotoMorita | 44:7d82e63b6a86 | 336 | dcm(1,3) = 2.0f*(quat(2,1)*quat(4,1) + quat(1,1)*quat(3,1)); |
NaotoMorita | 44:7d82e63b6a86 | 337 | dcm(2,1) = 2.0f*(quat(2,1)*quat(3,1) + quat(1,1)*quat(4,1)); |
NaotoMorita | 44:7d82e63b6a86 | 338 | 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); |
NaotoMorita | 44:7d82e63b6a86 | 339 | dcm(2,3) = 2.0f*(quat(3,1)*quat(4,1) - quat(1,1)*quat(2,1)); |
NaotoMorita | 44:7d82e63b6a86 | 340 | dcm(3,1) = 2.0f*(quat(2,1)*quat(4,1) - quat(1,1)*quat(3,1)); |
NaotoMorita | 44:7d82e63b6a86 | 341 | dcm(3,2) = 2.0f*(quat(3,1)*quat(4,1) + quat(1,1)*quat(2,1)); |
NaotoMorita | 44:7d82e63b6a86 | 342 | 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); |
NaotoMorita | 19:3fae66745363 | 343 | |
NaotoMorita | 19:3fae66745363 | 344 | } |
NaotoMorita | 19:3fae66745363 | 345 | |
NaotoMorita | 44:7d82e63b6a86 | 346 | void solaESKF::setQhat(float ex,float ey,float ez) |
NaotoMorita | 44:7d82e63b6a86 | 347 | { |
NaotoMorita | 44:7d82e63b6a86 | 348 | float cos_z_2 = cosf(0.5f*ez); |
NaotoMorita | 44:7d82e63b6a86 | 349 | float cos_y_2 = cosf(0.5f*ey); |
NaotoMorita | 44:7d82e63b6a86 | 350 | float cos_x_2 = cosf(0.5f*ex); |
NaotoMorita | 19:3fae66745363 | 351 | |
NaotoMorita | 44:7d82e63b6a86 | 352 | float sin_z_2 = sinf(0.5f*ez); |
NaotoMorita | 44:7d82e63b6a86 | 353 | float sin_y_2 = sinf(0.5f*ey); |
NaotoMorita | 44:7d82e63b6a86 | 354 | float sin_x_2 = sinf(0.5f*ex); |
NaotoMorita | 19:3fae66745363 | 355 | |
NaotoMorita | 19:3fae66745363 | 356 | // and now compute quaternion |
NaotoMorita | 19:3fae66745363 | 357 | qhat(1,1) = cos_z_2*cos_y_2*cos_x_2 + sin_z_2*sin_y_2*sin_x_2; |
NaotoMorita | 19:3fae66745363 | 358 | qhat(2,1) = cos_z_2*cos_y_2*sin_x_2 - sin_z_2*sin_y_2*cos_x_2; |
NaotoMorita | 19:3fae66745363 | 359 | qhat(3,1) = cos_z_2*sin_y_2*cos_x_2 + sin_z_2*cos_y_2*sin_x_2; |
NaotoMorita | 19:3fae66745363 | 360 | qhat(4,1) = sin_z_2*cos_y_2*cos_x_2 - cos_z_2*sin_y_2*sin_x_2; |
NaotoMorita | 19:3fae66745363 | 361 | } |
NaotoMorita | 19:3fae66745363 | 362 | |
NaotoMorita | 47:2467de40951f | 363 | |
NaotoMorita | 47:2467de40951f | 364 | |
NaotoMorita | 44:7d82e63b6a86 | 365 | void solaESKF::setGravity(float gx,float gy,float gz) |
NaotoMorita | 23:1509648c2318 | 366 | { |
NaotoMorita | 44:7d82e63b6a86 | 367 | gravity(1,1) = gx; |
NaotoMorita | 44:7d82e63b6a86 | 368 | gravity(2,1) = gy; |
NaotoMorita | 44:7d82e63b6a86 | 369 | gravity(3,1) = gz; |
NaotoMorita | 23:1509648c2318 | 370 | } |
NaotoMorita | 47:2467de40951f | 371 | Matrix solaESKF::getPihat() |
NaotoMorita | 47:2467de40951f | 372 | { |
NaotoMorita | 47:2467de40951f | 373 | return pihat; |
NaotoMorita | 47:2467de40951f | 374 | } |
NaotoMorita | 47:2467de40951f | 375 | Matrix solaESKF::getVihat() |
NaotoMorita | 47:2467de40951f | 376 | { |
NaotoMorita | 47:2467de40951f | 377 | return vihat; |
NaotoMorita | 47:2467de40951f | 378 | } |
NaotoMorita | 47:2467de40951f | 379 | Matrix solaESKF::getQhat() |
NaotoMorita | 47:2467de40951f | 380 | { |
NaotoMorita | 47:2467de40951f | 381 | return qhat; |
NaotoMorita | 47:2467de40951f | 382 | } |
NaotoMorita | 47:2467de40951f | 383 | Matrix solaESKF::getAccBias() |
NaotoMorita | 47:2467de40951f | 384 | { |
NaotoMorita | 47:2467de40951f | 385 | return accBias; |
NaotoMorita | 47:2467de40951f | 386 | } |
NaotoMorita | 47:2467de40951f | 387 | Matrix solaESKF::getGyroBias() |
NaotoMorita | 47:2467de40951f | 388 | { |
NaotoMorita | 47:2467de40951f | 389 | return gyroBias; |
NaotoMorita | 47:2467de40951f | 390 | } |
NaotoMorita | 47:2467de40951f | 391 | Matrix solaESKF::getGravity() |
NaotoMorita | 47:2467de40951f | 392 | { |
NaotoMorita | 47:2467de40951f | 393 | return gravity; |
NaotoMorita | 47:2467de40951f | 394 | } |
NaotoMorita | 47:2467de40951f | 395 | Matrix solaESKF::getErrState() |
NaotoMorita | 47:2467de40951f | 396 | { |
NaotoMorita | 47:2467de40951f | 397 | return errState; |
NaotoMorita | 47:2467de40951f | 398 | } |
NaotoMorita | 23:1509648c2318 | 399 | |
NaotoMorita | 47:2467de40951f | 400 | void solaESKF::setPhatPosition(float val) |
NaotoMorita | 47:2467de40951f | 401 | { |
NaotoMorita | 47:2467de40951f | 402 | setBlockDiag(Phat,val,1,3); |
NaotoMorita | 47:2467de40951f | 403 | } |
NaotoMorita | 47:2467de40951f | 404 | void solaESKF::setPhatVelocity(float val) |
NaotoMorita | 47:2467de40951f | 405 | { |
NaotoMorita | 47:2467de40951f | 406 | setBlockDiag(Phat,val,4,6); |
NaotoMorita | 47:2467de40951f | 407 | } |
NaotoMorita | 47:2467de40951f | 408 | void solaESKF::setPhatAngleError(float val) |
NaotoMorita | 47:2467de40951f | 409 | { |
NaotoMorita | 47:2467de40951f | 410 | setBlockDiag(Phat,val,7,9); |
NaotoMorita | 47:2467de40951f | 411 | } |
NaotoMorita | 47:2467de40951f | 412 | void solaESKF::setPhatAccBias(float val) |
NaotoMorita | 47:2467de40951f | 413 | { |
NaotoMorita | 47:2467de40951f | 414 | setBlockDiag(Phat,val,10,12); |
NaotoMorita | 47:2467de40951f | 415 | } |
NaotoMorita | 47:2467de40951f | 416 | void solaESKF::setPhatGyroBias(float val) |
NaotoMorita | 47:2467de40951f | 417 | { |
NaotoMorita | 47:2467de40951f | 418 | setBlockDiag(Phat,val,13,15); |
NaotoMorita | 47:2467de40951f | 419 | } |
NaotoMorita | 47:2467de40951f | 420 | void solaESKF::setPhatGravity(float val) |
NaotoMorita | 47:2467de40951f | 421 | { |
NaotoMorita | 47:2467de40951f | 422 | setBlockDiag(Phat,val,16,18); |
NaotoMorita | 47:2467de40951f | 423 | } |
NaotoMorita | 47:2467de40951f | 424 | |
NaotoMorita | 47:2467de40951f | 425 | |
NaotoMorita | 47:2467de40951f | 426 | void solaESKF::setQVelocity(float val) |
NaotoMorita | 47:2467de40951f | 427 | { |
NaotoMorita | 47:2467de40951f | 428 | setBlockDiag(Q,val,4,6); |
NaotoMorita | 47:2467de40951f | 429 | } |
NaotoMorita | 47:2467de40951f | 430 | void solaESKF::setQAngleError(float val) |
NaotoMorita | 47:2467de40951f | 431 | { |
NaotoMorita | 47:2467de40951f | 432 | setBlockDiag(Q,val,7,9); |
NaotoMorita | 47:2467de40951f | 433 | } |
NaotoMorita | 47:2467de40951f | 434 | void solaESKF::setQAccBias(float val) |
NaotoMorita | 47:2467de40951f | 435 | { |
NaotoMorita | 47:2467de40951f | 436 | setBlockDiag(Q,val,10,12); |
NaotoMorita | 47:2467de40951f | 437 | } |
NaotoMorita | 47:2467de40951f | 438 | void solaESKF::setQGyroBias(float val) |
NaotoMorita | 47:2467de40951f | 439 | { |
NaotoMorita | 47:2467de40951f | 440 | setBlockDiag(Q,val,13,15); |
NaotoMorita | 47:2467de40951f | 441 | } |
NaotoMorita | 19:3fae66745363 | 442 | |
NaotoMorita | 19:3fae66745363 | 443 | |
NaotoMorita | 44:7d82e63b6a86 | 444 | void solaESKF::setDiag(Matrix& mat, float val){ |
NaotoMorita | 44:7d82e63b6a86 | 445 | for (int i = 1; i < mat.getCols()+1; i++){ |
NaotoMorita | 44:7d82e63b6a86 | 446 | mat(i,i) = val; |
NaotoMorita | 22:7d84b8bc20b4 | 447 | } |
NaotoMorita | 22:7d84b8bc20b4 | 448 | } |
NaotoMorita | 22:7d84b8bc20b4 | 449 | |
NaotoMorita | 45:df4618814803 | 450 | void solaESKF::setBlockDiag(Matrix& mat, float val,int startIndex, int endIndex){ |
NaotoMorita | 44:7d82e63b6a86 | 451 | for (int i = startIndex; i < endIndex+1; i++){ |
NaotoMorita | 44:7d82e63b6a86 | 452 | mat(i,i) = val; |
NaotoMorita | 22:7d84b8bc20b4 | 453 | } |
NaotoMorita | 22:7d84b8bc20b4 | 454 | } |