
final
Dependencies: MatrixMath Matrix ExperimentServer QEI_pmw MotorShield
main.cpp@29:8b4fd3d36882, 2020-10-06 (annotated)
- Committer:
- saloutos
- Date:
- Tue Oct 06 01:02:31 2020 +0000
- Revision:
- 29:8b4fd3d36882
- Parent:
- 28:22530fdc149b
- Child:
- 30:833008a20edd
Commented out matrix inversions to start, since mass matrix is initialized to all zeros
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
pwensing | 0:43448bf056e8 | 1 | #include "mbed.h" |
pwensing | 0:43448bf056e8 | 2 | #include "rtos.h" |
pwensing | 0:43448bf056e8 | 3 | #include "EthernetInterface.h" |
pwensing | 0:43448bf056e8 | 4 | #include "ExperimentServer.h" |
pwensing | 0:43448bf056e8 | 5 | #include "QEI.h" |
saloutos | 16:f9ea2b2d410f | 6 | #include "BezierCurve.h" |
elijahsj | 6:1faceb53dabe | 7 | #include "MotorShield.h" |
elijahsj | 13:3a1f4e09789b | 8 | #include "HardwareSetup.h" |
saloutos | 26:5822d4d8dca7 | 9 | #include "Matrix.h" |
saloutos | 26:5822d4d8dca7 | 10 | #include "MatrixMath.h" |
pwensing | 0:43448bf056e8 | 11 | |
saloutos | 16:f9ea2b2d410f | 12 | #define BEZIER_ORDER_FOOT 7 |
saloutos | 17:1bb5aa45826e | 13 | #define NUM_INPUTS (12 + 2*(BEZIER_ORDER_FOOT+1)) |
saloutos | 16:f9ea2b2d410f | 14 | #define NUM_OUTPUTS 19 |
pwensing | 0:43448bf056e8 | 15 | |
saloutos | 16:f9ea2b2d410f | 16 | #define PULSE_TO_RAD (2.0f*3.14159f / 1200.0f) |
saloutos | 16:f9ea2b2d410f | 17 | |
saloutos | 16:f9ea2b2d410f | 18 | // Initializations |
pwensing | 0:43448bf056e8 | 19 | Serial pc(USBTX, USBRX); // USB Serial Terminal |
pwensing | 0:43448bf056e8 | 20 | ExperimentServer server; // Object that lets us communicate with MATLAB |
elijahsj | 5:1ab9b2527794 | 21 | Timer t; // Timer to measure elapsed time of experiment |
elijahsj | 5:1ab9b2527794 | 22 | |
elijahsj | 5:1ab9b2527794 | 23 | QEI encoderA(PE_9,PE_11, NC, 1200, QEI::X4_ENCODING); // MOTOR A ENCODER (no index, 1200 counts/rev, Quadrature encoding) |
elijahsj | 5:1ab9b2527794 | 24 | QEI encoderB(PA_5, PB_3, NC, 1200, QEI::X4_ENCODING); // MOTOR B ENCODER (no index, 1200 counts/rev, Quadrature encoding) |
elijahsj | 5:1ab9b2527794 | 25 | QEI encoderC(PC_6, PC_7, NC, 1200, QEI::X4_ENCODING); // MOTOR C ENCODER (no index, 1200 counts/rev, Quadrature encoding) |
elijahsj | 5:1ab9b2527794 | 26 | QEI encoderD(PD_12, PD_13, NC, 1200, QEI::X4_ENCODING);// MOTOR D ENCODER (no index, 1200 counts/rev, Quadrature encoding) |
elijahsj | 5:1ab9b2527794 | 27 | |
elijahsj | 12:84a6dcb60422 | 28 | MotorShield motorShield(12000); //initialize the motor shield with a period of 12000 ticks or ~20kHZ |
saloutos | 16:f9ea2b2d410f | 29 | Ticker currentLoop; |
saloutos | 16:f9ea2b2d410f | 30 | |
saloutos | 26:5822d4d8dca7 | 31 | Matrix MassMatrix(2,2); |
saloutos | 26:5822d4d8dca7 | 32 | Matrix Jacobian(2,2); |
saloutos | 26:5822d4d8dca7 | 33 | Matrix JacobianT(2,2); |
saloutos | 26:5822d4d8dca7 | 34 | Matrix InverseMassMatrix(2,2); |
saloutos | 26:5822d4d8dca7 | 35 | Matrix temp_product(2,2); |
saloutos | 26:5822d4d8dca7 | 36 | Matrix Lambda(2,2); |
saloutos | 26:5822d4d8dca7 | 37 | |
saloutos | 16:f9ea2b2d410f | 38 | // Variables for q1 |
saloutos | 16:f9ea2b2d410f | 39 | float current1; |
saloutos | 16:f9ea2b2d410f | 40 | float current_des1 = 0; |
saloutos | 16:f9ea2b2d410f | 41 | float prev_current_des1 = 0; |
saloutos | 16:f9ea2b2d410f | 42 | float current_int1 = 0; |
saloutos | 16:f9ea2b2d410f | 43 | float angle1; |
saloutos | 16:f9ea2b2d410f | 44 | float velocity1; |
saloutos | 16:f9ea2b2d410f | 45 | float duty_cycle1; |
saloutos | 16:f9ea2b2d410f | 46 | float angle1_init; |
saloutos | 16:f9ea2b2d410f | 47 | |
saloutos | 16:f9ea2b2d410f | 48 | // Variables for q2 |
saloutos | 16:f9ea2b2d410f | 49 | float current2; |
saloutos | 16:f9ea2b2d410f | 50 | float current_des2 = 0; |
saloutos | 16:f9ea2b2d410f | 51 | float prev_current_des2 = 0; |
saloutos | 16:f9ea2b2d410f | 52 | float current_int2 = 0; |
saloutos | 16:f9ea2b2d410f | 53 | float angle2; |
saloutos | 16:f9ea2b2d410f | 54 | float velocity2; |
saloutos | 16:f9ea2b2d410f | 55 | float duty_cycle2; |
saloutos | 16:f9ea2b2d410f | 56 | float angle2_init; |
saloutos | 16:f9ea2b2d410f | 57 | |
saloutos | 16:f9ea2b2d410f | 58 | // Fixed kinematic parameters |
saloutos | 16:f9ea2b2d410f | 59 | const float l_OA=.011; |
saloutos | 16:f9ea2b2d410f | 60 | const float l_OB=.042; |
saloutos | 16:f9ea2b2d410f | 61 | const float l_AC=.096; |
saloutos | 16:f9ea2b2d410f | 62 | const float l_DE=.091; |
saloutos | 26:5822d4d8dca7 | 63 | const float m1 =.0393 + .2; |
saloutos | 26:5822d4d8dca7 | 64 | const float m2 =.0368; |
saloutos | 26:5822d4d8dca7 | 65 | const float m3 = .00783; |
saloutos | 26:5822d4d8dca7 | 66 | const float m4 = .0155; |
saloutos | 26:5822d4d8dca7 | 67 | const float I1 = 0.0000251; //25.1 * 10^-6; |
saloutos | 26:5822d4d8dca7 | 68 | const float I2 = 0.0000535; //53.5 * 10^-6; |
saloutos | 26:5822d4d8dca7 | 69 | const float I3 = 0.00000925; //9.25 * 10^-6; |
saloutos | 26:5822d4d8dca7 | 70 | const float I4 = 0.0000222; //22.176 * 10^-6; |
saloutos | 26:5822d4d8dca7 | 71 | const float l_O_m1=0.032; |
saloutos | 26:5822d4d8dca7 | 72 | const float l_B_m2=0.0344; |
saloutos | 26:5822d4d8dca7 | 73 | const float l_A_m3=0.0622; |
saloutos | 26:5822d4d8dca7 | 74 | const float l_C_m4=0.0610; |
saloutos | 27:5d60c6ab6d0a | 75 | const float N = 18.75; |
saloutos | 27:5d60c6ab6d0a | 76 | const float Ir = 0.0035/pow(N,2); |
saloutos | 16:f9ea2b2d410f | 77 | |
saloutos | 16:f9ea2b2d410f | 78 | // Timing parameters |
saloutos | 16:f9ea2b2d410f | 79 | float current_control_period_us = 200.0f; // 5kHz current control loop |
saloutos | 16:f9ea2b2d410f | 80 | float impedance_control_period_us = 1000.0f; // 1kHz impedance control loop |
saloutos | 16:f9ea2b2d410f | 81 | float start_period, traj_period, end_period; |
saloutos | 16:f9ea2b2d410f | 82 | |
saloutos | 16:f9ea2b2d410f | 83 | // Control parameters |
saloutos | 19:562c08086d71 | 84 | float current_Kp = 4.0f; |
saloutos | 19:562c08086d71 | 85 | float current_Ki = 0.4f; |
saloutos | 19:562c08086d71 | 86 | float current_int_max = 3.0f; |
saloutos | 16:f9ea2b2d410f | 87 | float duty_max; |
saloutos | 16:f9ea2b2d410f | 88 | float K_xx; |
saloutos | 16:f9ea2b2d410f | 89 | float K_yy; |
saloutos | 16:f9ea2b2d410f | 90 | float K_xy; |
saloutos | 16:f9ea2b2d410f | 91 | float D_xx; |
saloutos | 16:f9ea2b2d410f | 92 | float D_xy; |
saloutos | 16:f9ea2b2d410f | 93 | float D_yy; |
saloutos | 16:f9ea2b2d410f | 94 | |
saloutos | 16:f9ea2b2d410f | 95 | // Model parameters |
saloutos | 17:1bb5aa45826e | 96 | float supply_voltage = 12; // motor supply voltage |
saloutos | 18:21c8d94eddee | 97 | float R = 2.0f; // motor resistance |
saloutos | 18:21c8d94eddee | 98 | float k_t = 0.18f; // motor torque constant |
saloutos | 17:1bb5aa45826e | 99 | float nu = 0.0005; // motor viscous friction |
saloutos | 16:f9ea2b2d410f | 100 | |
saloutos | 16:f9ea2b2d410f | 101 | // Current control interrupt function |
saloutos | 16:f9ea2b2d410f | 102 | void CurrentLoop() |
saloutos | 16:f9ea2b2d410f | 103 | { |
saloutos | 19:562c08086d71 | 104 | // This loop sets the motor voltage commands using PI current controllers with feedforward terms. |
saloutos | 16:f9ea2b2d410f | 105 | |
saloutos | 16:f9ea2b2d410f | 106 | //use the motor shield as follows: |
saloutos | 16:f9ea2b2d410f | 107 | //motorShield.motorAWrite(DUTY CYCLE, DIRECTION), DIRECTION = 0 is forward, DIRECTION =1 is backwards. |
saloutos | 16:f9ea2b2d410f | 108 | |
saloutos | 18:21c8d94eddee | 109 | current1 = -(((float(motorShield.readCurrentA())/65536.0f)*30.0f)-15.0f); // measure current |
saloutos | 18:21c8d94eddee | 110 | velocity1 = encoderA.getVelocity() * PULSE_TO_RAD; // measure velocity |
saloutos | 18:21c8d94eddee | 111 | float err_c1 = current_des1 - current1; // current errror |
saloutos | 18:21c8d94eddee | 112 | current_int1 += err_c1; // integrate error |
saloutos | 18:21c8d94eddee | 113 | current_int1 = fmaxf( fminf(current_int1, current_int_max), -current_int_max); // anti-windup |
saloutos | 18:21c8d94eddee | 114 | float ff1 = R*current_des1 + k_t*velocity1; // feedforward terms |
saloutos | 18:21c8d94eddee | 115 | duty_cycle1 = (ff1 + current_Kp*err_c1 + current_Ki*current_int1)/supply_voltage; // PI current controller |
saloutos | 16:f9ea2b2d410f | 116 | |
saloutos | 16:f9ea2b2d410f | 117 | float absDuty1 = abs(duty_cycle1); |
saloutos | 16:f9ea2b2d410f | 118 | if (absDuty1 > duty_max) { |
saloutos | 16:f9ea2b2d410f | 119 | duty_cycle1 *= duty_max / absDuty1; |
saloutos | 16:f9ea2b2d410f | 120 | absDuty1 = duty_max; |
saloutos | 16:f9ea2b2d410f | 121 | } |
saloutos | 16:f9ea2b2d410f | 122 | if (duty_cycle1 < 0) { // backwards |
saloutos | 16:f9ea2b2d410f | 123 | motorShield.motorAWrite(absDuty1, 1); |
saloutos | 16:f9ea2b2d410f | 124 | } else { // forwards |
saloutos | 16:f9ea2b2d410f | 125 | motorShield.motorAWrite(absDuty1, 0); |
saloutos | 16:f9ea2b2d410f | 126 | } |
saloutos | 16:f9ea2b2d410f | 127 | prev_current_des1 = current_des1; |
saloutos | 16:f9ea2b2d410f | 128 | |
saloutos | 18:21c8d94eddee | 129 | current2 = -(((float(motorShield.readCurrentB())/65536.0f)*30.0f)-15.0f); // measure current |
saloutos | 18:21c8d94eddee | 130 | velocity2 = encoderB.getVelocity() * PULSE_TO_RAD; // measure velocity |
saloutos | 18:21c8d94eddee | 131 | float err_c2 = current_des2 - current2; // current error |
saloutos | 18:21c8d94eddee | 132 | current_int2 += err_c2; // integrate error |
saloutos | 18:21c8d94eddee | 133 | current_int2 = fmaxf( fminf(current_int2, current_int_max), -current_int_max); // anti-windup |
saloutos | 18:21c8d94eddee | 134 | float ff2 = R*current_des2 + k_t*velocity2; // feedforward terms |
saloutos | 18:21c8d94eddee | 135 | duty_cycle2 = (ff2 + current_Kp*err_c2 + current_Ki*current_int2)/supply_voltage; // PI current controller |
saloutos | 16:f9ea2b2d410f | 136 | |
saloutos | 16:f9ea2b2d410f | 137 | float absDuty2 = abs(duty_cycle2); |
saloutos | 16:f9ea2b2d410f | 138 | if (absDuty2 > duty_max) { |
saloutos | 16:f9ea2b2d410f | 139 | duty_cycle2 *= duty_max / absDuty2; |
saloutos | 16:f9ea2b2d410f | 140 | absDuty2 = duty_max; |
saloutos | 16:f9ea2b2d410f | 141 | } |
saloutos | 16:f9ea2b2d410f | 142 | if (duty_cycle2 < 0) { // backwards |
saloutos | 16:f9ea2b2d410f | 143 | motorShield.motorBWrite(absDuty2, 1); |
saloutos | 16:f9ea2b2d410f | 144 | } else { // forwards |
saloutos | 16:f9ea2b2d410f | 145 | motorShield.motorBWrite(absDuty2, 0); |
saloutos | 16:f9ea2b2d410f | 146 | } |
saloutos | 16:f9ea2b2d410f | 147 | prev_current_des2 = current_des2; |
saloutos | 16:f9ea2b2d410f | 148 | |
saloutos | 16:f9ea2b2d410f | 149 | } |
elijahsj | 6:1faceb53dabe | 150 | |
elijahsj | 4:7a1b35f081bb | 151 | int main (void) |
elijahsj | 4:7a1b35f081bb | 152 | { |
saloutos | 17:1bb5aa45826e | 153 | |
saloutos | 17:1bb5aa45826e | 154 | // Object for 7th order Cartesian foot trajectory |
saloutos | 17:1bb5aa45826e | 155 | BezierCurve rDesFoot_bez(2,BEZIER_ORDER_FOOT); |
saloutos | 17:1bb5aa45826e | 156 | |
pwensing | 0:43448bf056e8 | 157 | // Link the terminal with our server and start it up |
pwensing | 0:43448bf056e8 | 158 | server.attachTerminal(pc); |
pwensing | 0:43448bf056e8 | 159 | server.init(); |
elijahsj | 13:3a1f4e09789b | 160 | |
pwensing | 0:43448bf056e8 | 161 | // Continually get input from MATLAB and run experiments |
pwensing | 0:43448bf056e8 | 162 | float input_params[NUM_INPUTS]; |
elijahsj | 5:1ab9b2527794 | 163 | pc.printf("%f",input_params[0]); |
elijahsj | 5:1ab9b2527794 | 164 | |
pwensing | 0:43448bf056e8 | 165 | while(1) { |
saloutos | 16:f9ea2b2d410f | 166 | |
saloutos | 16:f9ea2b2d410f | 167 | // If there are new inputs, this code will run |
pwensing | 0:43448bf056e8 | 168 | if (server.getParams(input_params,NUM_INPUTS)) { |
saloutos | 16:f9ea2b2d410f | 169 | |
saloutos | 16:f9ea2b2d410f | 170 | |
saloutos | 17:1bb5aa45826e | 171 | // Get inputs from MATLAB |
saloutos | 16:f9ea2b2d410f | 172 | start_period = input_params[0]; // First buffer time, before trajectory |
saloutos | 16:f9ea2b2d410f | 173 | traj_period = input_params[1]; // Trajectory time/length |
saloutos | 16:f9ea2b2d410f | 174 | end_period = input_params[2]; // Second buffer time, after trajectory |
saloutos | 16:f9ea2b2d410f | 175 | |
saloutos | 16:f9ea2b2d410f | 176 | angle1_init = input_params[3]; // Initial angle for q1 (rad) |
saloutos | 16:f9ea2b2d410f | 177 | angle2_init = input_params[4]; // Initial angle for q2 (rad) |
elijahsj | 4:7a1b35f081bb | 178 | |
saloutos | 16:f9ea2b2d410f | 179 | K_xx = input_params[5]; // Foot stiffness N/m |
saloutos | 16:f9ea2b2d410f | 180 | K_yy = input_params[6]; // Foot stiffness N/m |
saloutos | 16:f9ea2b2d410f | 181 | K_xy = input_params[7]; // Foot stiffness N/m |
saloutos | 16:f9ea2b2d410f | 182 | D_xx = input_params[8]; // Foot damping N/(m/s) |
saloutos | 19:562c08086d71 | 183 | D_yy = input_params[9]; // Foot damping N/(m/s) |
saloutos | 16:f9ea2b2d410f | 184 | D_xy = input_params[10]; // Foot damping N/(m/s) |
saloutos | 16:f9ea2b2d410f | 185 | duty_max = input_params[11]; // Maximum duty factor |
saloutos | 16:f9ea2b2d410f | 186 | |
saloutos | 19:562c08086d71 | 187 | // Get foot trajectory points |
saloutos | 16:f9ea2b2d410f | 188 | float foot_pts[2*(BEZIER_ORDER_FOOT+1)]; |
saloutos | 16:f9ea2b2d410f | 189 | for(int i = 0; i<2*(BEZIER_ORDER_FOOT+1);i++) { |
saloutos | 17:1bb5aa45826e | 190 | foot_pts[i] = input_params[12+i]; |
saloutos | 16:f9ea2b2d410f | 191 | } |
saloutos | 16:f9ea2b2d410f | 192 | rDesFoot_bez.setPoints(foot_pts); |
saloutos | 16:f9ea2b2d410f | 193 | |
saloutos | 16:f9ea2b2d410f | 194 | // Attach current loop interrupt |
saloutos | 16:f9ea2b2d410f | 195 | currentLoop.attach_us(CurrentLoop,current_control_period_us); |
saloutos | 16:f9ea2b2d410f | 196 | |
pwensing | 0:43448bf056e8 | 197 | // Setup experiment |
pwensing | 0:43448bf056e8 | 198 | t.reset(); |
pwensing | 0:43448bf056e8 | 199 | t.start(); |
elijahsj | 5:1ab9b2527794 | 200 | encoderA.reset(); |
elijahsj | 5:1ab9b2527794 | 201 | encoderB.reset(); |
elijahsj | 5:1ab9b2527794 | 202 | encoderC.reset(); |
elijahsj | 5:1ab9b2527794 | 203 | encoderD.reset(); |
elijahsj | 10:a40d180c305c | 204 | |
elijahsj | 15:495333b2ccf1 | 205 | motorShield.motorAWrite(0, 0); //turn motor A off |
saloutos | 16:f9ea2b2d410f | 206 | motorShield.motorBWrite(0, 0); //turn motor B off |
saloutos | 16:f9ea2b2d410f | 207 | |
pwensing | 0:43448bf056e8 | 208 | // Run experiment |
saloutos | 16:f9ea2b2d410f | 209 | while( t.read() < start_period + traj_period + end_period) { |
saloutos | 16:f9ea2b2d410f | 210 | |
saloutos | 19:562c08086d71 | 211 | // Read encoders to get motor states |
saloutos | 16:f9ea2b2d410f | 212 | angle1 = encoderA.getPulses() *PULSE_TO_RAD + angle1_init; |
saloutos | 16:f9ea2b2d410f | 213 | velocity1 = encoderA.getVelocity() * PULSE_TO_RAD; |
saloutos | 16:f9ea2b2d410f | 214 | |
saloutos | 16:f9ea2b2d410f | 215 | angle2 = encoderB.getPulses() * PULSE_TO_RAD + angle2_init; |
saloutos | 16:f9ea2b2d410f | 216 | velocity2 = encoderB.getVelocity() * PULSE_TO_RAD; |
saloutos | 16:f9ea2b2d410f | 217 | |
saloutos | 16:f9ea2b2d410f | 218 | const float th1 = angle1; |
saloutos | 16:f9ea2b2d410f | 219 | const float th2 = angle2; |
saloutos | 16:f9ea2b2d410f | 220 | const float dth1= velocity1; |
saloutos | 16:f9ea2b2d410f | 221 | const float dth2= velocity2; |
saloutos | 16:f9ea2b2d410f | 222 | |
saloutos | 16:f9ea2b2d410f | 223 | // Calculate the Jacobian |
saloutos | 19:562c08086d71 | 224 | float Jx_th1 = 0; |
saloutos | 19:562c08086d71 | 225 | float Jx_th2 = 0; |
saloutos | 19:562c08086d71 | 226 | float Jy_th1 = 0; |
saloutos | 19:562c08086d71 | 227 | float Jy_th2 = 0; |
saloutos | 19:562c08086d71 | 228 | |
saloutos | 17:1bb5aa45826e | 229 | // Calculate the forward kinematics (position and velocity) |
saloutos | 19:562c08086d71 | 230 | float xFoot = 0; |
saloutos | 19:562c08086d71 | 231 | float yFoot = 0; |
saloutos | 19:562c08086d71 | 232 | float dxFoot = 0; |
saloutos | 19:562c08086d71 | 233 | float dyFoot = 0; |
saloutos | 16:f9ea2b2d410f | 234 | |
saloutos | 16:f9ea2b2d410f | 235 | // Set gains based on buffer and traj times, then calculate desired x,y from Bezier trajectory at current time if necessary |
saloutos | 16:f9ea2b2d410f | 236 | float teff = 0; |
saloutos | 16:f9ea2b2d410f | 237 | float vMult = 0; |
saloutos | 16:f9ea2b2d410f | 238 | if( t < start_period) { |
saloutos | 16:f9ea2b2d410f | 239 | if (K_xx > 0 || K_yy > 0) { |
saloutos | 28:22530fdc149b | 240 | K_xx = 100; |
saloutos | 28:22530fdc149b | 241 | K_yy = 100; |
saloutos | 28:22530fdc149b | 242 | D_xx = 5; |
saloutos | 28:22530fdc149b | 243 | D_yy = 5; |
saloutos | 16:f9ea2b2d410f | 244 | K_xy = 0; |
saloutos | 16:f9ea2b2d410f | 245 | D_xy = 0; |
saloutos | 16:f9ea2b2d410f | 246 | } |
saloutos | 16:f9ea2b2d410f | 247 | teff = 0; |
saloutos | 16:f9ea2b2d410f | 248 | } |
saloutos | 16:f9ea2b2d410f | 249 | else if (t < start_period + traj_period) |
saloutos | 16:f9ea2b2d410f | 250 | { |
saloutos | 19:562c08086d71 | 251 | K_xx = input_params[5]; // Foot stiffness N/m |
saloutos | 19:562c08086d71 | 252 | K_yy = input_params[6]; // Foot stiffness N/m |
saloutos | 19:562c08086d71 | 253 | K_xy = input_params[7]; // Foot stiffness N/m |
saloutos | 19:562c08086d71 | 254 | D_xx = input_params[8]; // Foot damping N/(m/s) |
saloutos | 19:562c08086d71 | 255 | D_yy = input_params[9]; // Foot damping N/(m/s) |
saloutos | 16:f9ea2b2d410f | 256 | D_xy = input_params[10]; // Foot damping N/(m/s) |
saloutos | 16:f9ea2b2d410f | 257 | teff = (t-start_period); |
saloutos | 16:f9ea2b2d410f | 258 | vMult = 1; |
saloutos | 16:f9ea2b2d410f | 259 | } |
elijahsj | 4:7a1b35f081bb | 260 | else |
saloutos | 16:f9ea2b2d410f | 261 | { |
saloutos | 17:1bb5aa45826e | 262 | teff = traj_period; |
saloutos | 17:1bb5aa45826e | 263 | vMult = 0; |
saloutos | 16:f9ea2b2d410f | 264 | } |
saloutos | 16:f9ea2b2d410f | 265 | |
saloutos | 24:26a515ebb7cf | 266 | // Get desired foot positions and velocities |
saloutos | 16:f9ea2b2d410f | 267 | float rDesFoot[2] , vDesFoot[2]; |
saloutos | 16:f9ea2b2d410f | 268 | rDesFoot_bez.evaluate(teff/traj_period,rDesFoot); |
saloutos | 16:f9ea2b2d410f | 269 | rDesFoot_bez.evaluateDerivative(teff/traj_period,vDesFoot); |
saloutos | 16:f9ea2b2d410f | 270 | vDesFoot[0]/=traj_period; |
saloutos | 16:f9ea2b2d410f | 271 | vDesFoot[1]/=traj_period; |
saloutos | 16:f9ea2b2d410f | 272 | vDesFoot[0]*=vMult; |
saloutos | 16:f9ea2b2d410f | 273 | vDesFoot[1]*=vMult; |
saloutos | 17:1bb5aa45826e | 274 | |
saloutos | 19:562c08086d71 | 275 | // Calculate the inverse kinematics (joint positions and velocities) for desired joint angles |
saloutos | 24:26a515ebb7cf | 276 | float xFoot_inv = -rDesFoot[0]; |
saloutos | 24:26a515ebb7cf | 277 | float yFoot_inv = rDesFoot[1]; |
saloutos | 24:26a515ebb7cf | 278 | float l_OE = sqrt( (pow(xFoot_inv,2) + pow(yFoot_inv,2)) ); |
saloutos | 17:1bb5aa45826e | 279 | float alpha = abs(acos( (pow(l_OE,2) - pow(l_AC,2) - pow((l_OB+l_DE),2))/(-2.0f*l_AC*(l_OB+l_DE)) )); |
saloutos | 18:21c8d94eddee | 280 | float th2_des = -(3.14159f - alpha); |
saloutos | 24:26a515ebb7cf | 281 | float th1_des = -((3.14159f/2.0f) + atan2(yFoot_inv,xFoot_inv) - abs(asin( (l_AC/l_OE)*sin(alpha) ))); |
saloutos | 17:1bb5aa45826e | 282 | |
saloutos | 17:1bb5aa45826e | 283 | float dd = (Jx_th1*Jy_th2 - Jx_th2*Jy_th1); |
saloutos | 17:1bb5aa45826e | 284 | float dth1_des = (1.0f/dd) * ( Jy_th2*vDesFoot[0] - Jx_th2*vDesFoot[1] ); |
saloutos | 17:1bb5aa45826e | 285 | float dth2_des = (1.0f/dd) * ( -Jy_th1*vDesFoot[0] + Jx_th1*vDesFoot[1] ); |
saloutos | 17:1bb5aa45826e | 286 | |
saloutos | 16:f9ea2b2d410f | 287 | // Calculate error variables |
saloutos | 19:562c08086d71 | 288 | float e_x = 0; |
saloutos | 19:562c08086d71 | 289 | float e_y = 0; |
saloutos | 19:562c08086d71 | 290 | float de_x = 0; |
saloutos | 19:562c08086d71 | 291 | float de_y = 0; |
saloutos | 17:1bb5aa45826e | 292 | |
saloutos | 16:f9ea2b2d410f | 293 | // Calculate virtual force on foot |
saloutos | 19:562c08086d71 | 294 | float fx = 0; |
saloutos | 19:562c08086d71 | 295 | float fy = 0; |
saloutos | 26:5822d4d8dca7 | 296 | |
saloutos | 26:5822d4d8dca7 | 297 | // Calculate mass matrix elements |
saloutos | 28:22530fdc149b | 298 | float M11 = 0; |
saloutos | 28:22530fdc149b | 299 | float M12 = 0; |
saloutos | 28:22530fdc149b | 300 | float M22 = 0; |
saloutos | 26:5822d4d8dca7 | 301 | |
saloutos | 29:8b4fd3d36882 | 302 | |
saloutos | 29:8b4fd3d36882 | 303 | |
saloutos | 26:5822d4d8dca7 | 304 | // Populate mass matrix |
saloutos | 26:5822d4d8dca7 | 305 | MassMatrix.Clear(); |
saloutos | 26:5822d4d8dca7 | 306 | MassMatrix << M11 << M12 |
saloutos | 26:5822d4d8dca7 | 307 | << M12 << M22; |
saloutos | 26:5822d4d8dca7 | 308 | |
saloutos | 26:5822d4d8dca7 | 309 | // Populate Jacobian matrix |
saloutos | 26:5822d4d8dca7 | 310 | Jacobian.Clear(); |
saloutos | 26:5822d4d8dca7 | 311 | Jacobian << Jx_th1 << Jx_th2 |
saloutos | 26:5822d4d8dca7 | 312 | << Jy_th1 << Jy_th2; |
saloutos | 26:5822d4d8dca7 | 313 | |
saloutos | 29:8b4fd3d36882 | 314 | // Once you have copied the elements of the mass matrix, uncomment the following section |
saloutos | 29:8b4fd3d36882 | 315 | |
saloutos | 26:5822d4d8dca7 | 316 | // Calculate Lambda matrix |
saloutos | 29:8b4fd3d36882 | 317 | // JacobianT = MatrixMath::Transpose(Jacobian); |
saloutos | 29:8b4fd3d36882 | 318 | // InverseMassMatrix = MatrixMath::Inv(MassMatrix); |
saloutos | 29:8b4fd3d36882 | 319 | // temp_product = Jacobian*InverseMassMatrix*JacobianT; |
saloutos | 29:8b4fd3d36882 | 320 | // Lambda = MatrixMath::Inv(temp_product); |
saloutos | 26:5822d4d8dca7 | 321 | |
saloutos | 26:5822d4d8dca7 | 322 | // Pull elements of Lambda matrix |
saloutos | 29:8b4fd3d36882 | 323 | // float L11 = Lambda.getNumber(1,1); |
saloutos | 29:8b4fd3d36882 | 324 | // float L12 = Lambda.getNumber(1,2); |
saloutos | 29:8b4fd3d36882 | 325 | // float L21 = Lambda.getNumber(2,1); |
saloutos | 29:8b4fd3d36882 | 326 | // float L22 = Lambda.getNumber(2,2); |
saloutos | 29:8b4fd3d36882 | 327 | |
saloutos | 29:8b4fd3d36882 | 328 | |
saloutos | 18:21c8d94eddee | 329 | |
saloutos | 19:562c08086d71 | 330 | // Set desired currents |
saloutos | 19:562c08086d71 | 331 | current_des1 = 0; |
saloutos | 19:562c08086d71 | 332 | current_des2 = 0; |
saloutos | 26:5822d4d8dca7 | 333 | |
saloutos | 26:5822d4d8dca7 | 334 | |
saloutos | 26:5822d4d8dca7 | 335 | |
saloutos | 19:562c08086d71 | 336 | // Form output to send to MATLAB |
saloutos | 16:f9ea2b2d410f | 337 | float output_data[NUM_OUTPUTS]; |
saloutos | 16:f9ea2b2d410f | 338 | // current time |
pwensing | 0:43448bf056e8 | 339 | output_data[0] = t.read(); |
saloutos | 16:f9ea2b2d410f | 340 | // motor 1 state |
saloutos | 16:f9ea2b2d410f | 341 | output_data[1] = angle1; |
saloutos | 16:f9ea2b2d410f | 342 | output_data[2] = velocity1; |
saloutos | 16:f9ea2b2d410f | 343 | output_data[3] = current1; |
saloutos | 16:f9ea2b2d410f | 344 | output_data[4] = current_des1; |
saloutos | 16:f9ea2b2d410f | 345 | output_data[5] = duty_cycle1; |
saloutos | 16:f9ea2b2d410f | 346 | // motor 2 state |
saloutos | 16:f9ea2b2d410f | 347 | output_data[6] = angle2; |
saloutos | 16:f9ea2b2d410f | 348 | output_data[7] = velocity2; |
saloutos | 16:f9ea2b2d410f | 349 | output_data[8] = current2; |
saloutos | 16:f9ea2b2d410f | 350 | output_data[9] = current_des2; |
saloutos | 16:f9ea2b2d410f | 351 | output_data[10]= duty_cycle2; |
saloutos | 16:f9ea2b2d410f | 352 | // foot state |
saloutos | 16:f9ea2b2d410f | 353 | output_data[11] = xFoot; |
saloutos | 16:f9ea2b2d410f | 354 | output_data[12] = yFoot; |
saloutos | 17:1bb5aa45826e | 355 | output_data[13] = dxFoot; |
saloutos | 17:1bb5aa45826e | 356 | output_data[14] = dyFoot; |
saloutos | 17:1bb5aa45826e | 357 | output_data[15] = rDesFoot[0]; |
saloutos | 17:1bb5aa45826e | 358 | output_data[16] = rDesFoot[1]; |
saloutos | 17:1bb5aa45826e | 359 | output_data[17] = vDesFoot[0]; |
saloutos | 17:1bb5aa45826e | 360 | output_data[18] = vDesFoot[1]; |
elijahsj | 13:3a1f4e09789b | 361 | |
pwensing | 0:43448bf056e8 | 362 | // Send data to MATLAB |
pwensing | 0:43448bf056e8 | 363 | server.sendData(output_data,NUM_OUTPUTS); |
saloutos | 16:f9ea2b2d410f | 364 | |
saloutos | 16:f9ea2b2d410f | 365 | wait_us(impedance_control_period_us); |
elijahsj | 4:7a1b35f081bb | 366 | } |
saloutos | 16:f9ea2b2d410f | 367 | |
pwensing | 0:43448bf056e8 | 368 | // Cleanup after experiment |
pwensing | 0:43448bf056e8 | 369 | server.setExperimentComplete(); |
saloutos | 16:f9ea2b2d410f | 370 | currentLoop.detach(); |
elijahsj | 12:84a6dcb60422 | 371 | motorShield.motorAWrite(0, 0); //turn motor A off |
saloutos | 16:f9ea2b2d410f | 372 | motorShield.motorBWrite(0, 0); //turn motor B off |
saloutos | 16:f9ea2b2d410f | 373 | |
pwensing | 0:43448bf056e8 | 374 | } // end if |
saloutos | 16:f9ea2b2d410f | 375 | |
pwensing | 0:43448bf056e8 | 376 | } // end while |
elijahsj | 10:a40d180c305c | 377 | |
elijahsj | 6:1faceb53dabe | 378 | } // end main |
elijahsj | 6:1faceb53dabe | 379 |