#include ArduPID pitchCtrl; #define MOT_DX_STEP 19 #define MOT_DX_DIR 18 #define MOT_SX_STEP 17 #define MOT_SX_DIR 16 // Nema 17 make 1.8° per step. Using A4988 drivers, and 1/16th microstepping, it results in 0.1125° per step constexpr double ANGLE_PER_STEP = 0.1125; // Just used a kitchen scale, good enough constexpr double WEIGHT = 0.961; constexpr double WHEEL_RADIUS = 0.0475; // Experimentally, the lowest pulse my steppers can handle without stalling + some leeway constexpr double MAX_HALF_PERIOD = 75; // in microseconds // Which means there is a maximum velocity achievable constexpr double MAX_VELOCITY = 1000000 * WHEEL_RADIUS / (2 * MAX_HALF_PERIOD * ANGLE_PER_STEP) * PI / 180; // Derived and analytical model, linearized it and simulated in MATLAB. // PID values are then calculated and verified by simulation in Simulink. I ain't calibrating a PID by hand on this robot // I modified the ArduPID library to make it accept negative values for the parameters constexpr double KP = -50; constexpr double KI = -600; constexpr double KD = 0.05; // IMU little bit tilted // TODO: Implement an outer control loop for angular velocity. But that requires encoders on the motors // TODO: try to achieve it crudely by just using a PI controller on the velocity given by the PID balance controller double setpoint = -0.06; double output = 0; double input = 0; double yaw{ 0 }, pitch{ 0 }, roll{ 0 }; void setup() { Serial.begin(9600); delay(1000); setup_imu(); pinMode(MOT_DX_DIR, OUTPUT); pinMode(MOT_SX_DIR, OUTPUT); // Just to signal it is working pinMode(LED_BUILTIN, OUTPUT); digitalWrite(LED_BUILTIN, HIGH); // Let the initial error from madgwick filter discharge without affecting the integral term of the PID unsigned long t = millis(); while (millis() - t < 2000) { update_imu(); } pitchCtrl.begin(&input, &output, &setpoint, KP, KI, KD, P_ON_E, FORWARD); pitchCtrl.setOutputLimits(-MAX_VELOCITY, MAX_VELOCITY); // double of max torque motors can exhert //pitchCtrl.setWindUpLimits(-10, 10); pitchCtrl.setSampleTime(1); pitchCtrl.start(); } void setup1(){ pinMode(MOT_DX_STEP, OUTPUT); pinMode(MOT_SX_STEP, OUTPUT); } unsigned long last_time_motors = micros(), current_time_motors = micros(); bool b = true; // Such a long halfperiod means that the motors are not moving uint32_t halfperiod1 = INT_MAX; void loop1(){ // TODO: handle the steppers using interrupt timers. The second core could be used for IMU processing, while the first one handles the different control loops // Retrieve the half period value from core0. Non blocking call if(rp2040.fifo.available()) rp2040.fifo.pop_nb(&halfperiod1); current_time_motors = micros(); if(current_time_motors - last_time_motors > halfperiod1){ // Half a pulse. Next cycle will be the rest digitalWriteFast(MOT_DX_STEP, b); digitalWriteFast(MOT_SX_STEP, b); b = !b; last_time_motors = current_time_motors; } } unsigned long last_time = millis(), current_time = millis(), time_diff; double frequency = 0; unsigned long half_period0 = 0; double velocity = 0; void loop() { current_time = millis(); time_diff = current_time - last_time; update_imu(); // I also modified the ArduPID library to use compute as a boolean. If calculations were done, it returns true. If not enough time has elapsed, it returns false if(pitchCtrl.compute()){ input = pitch; // Keeping it here /* double force_per_motor = output / WHEEL_RADIUS; double accel = force_per_motor / (WEIGHT); velocity += accel * time_diff * 0.001; // anti-windup velocity = constrain(velocity, -MAX_VELOCITY, MAX_VELOCITY);*/ double tvelocity = output; if(tvelocity < 0){ digitalWriteFast(MOT_DX_DIR, LOW); digitalWriteFast(MOT_SX_DIR, LOW); tvelocity = -tvelocity; }else{ digitalWriteFast(MOT_DX_DIR, HIGH); digitalWriteFast(MOT_SX_DIR, HIGH); } tvelocity = tvelocity * 180 / PI; frequency = tvelocity * 0.1125 / WHEEL_RADIUS; half_period0 = 1000000 / (2*frequency); // Send the half period to core 1. Non blocking rp2040.fifo.push_nb(half_period0); // Some ugly logging I used in debugging, keeping in around /*Serial.println(input); Serial.print(" | "); Serial.print(output); Serial.print(" | "); Serial.print(accel); Serial.print(" | "); Serial.print(velocity); Serial.print(" | "); Serial.print(frequency); Serial.print(" | "); Serial.println(half_period0);*/ last_time = current_time; } }