Merge branch 'lqr-testing' into nytt-test-bös

This commit is contained in:
Thefeli73 2021-05-13 11:54:57 +02:00
commit 3d92a9f01c
4 changed files with 12 additions and 121 deletions

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@ -1,3 +1,4 @@
//EENX15_LQR.ino
#include <Wire.h> #include <Wire.h>
int lastCorrectionTime = 0; int lastCorrectionTime = 0;
@ -6,7 +7,7 @@ int lastPrintTime = 0;
static int fastTimer = 10; //ms static int fastTimer = 10; //ms
static int slowTimer = 1000; //ms static int slowTimer = 1000; //ms
//lqr stuff //lqr
const uint8_t statesNumber = 4; const uint8_t statesNumber = 4;
/** Low pass filter angular Position*/ /** Low pass filter angular Position*/
float angularPositionLP = 0; float angularPositionLP = 0;
@ -29,7 +30,7 @@ float force;
int PWM; int PWM;
//gyro stuff //gyro
float AccX, AccY, AccZ; float AccX, AccY, AccZ;
float GyroX, GyroY, GyroZ; float GyroX, GyroY, GyroZ;
float accAngleX, accAngleY, gyroAngleX, gyroAngleY, gyroAngleZ; float accAngleX, accAngleY, gyroAngleX, gyroAngleY, gyroAngleZ;
@ -50,7 +51,7 @@ float angle_pitch_output, angle_roll_output;
long loop_timer; long loop_timer;
int temp; int temp;
//motor stuff //motor
#define encoderA1 2 #define encoderA1 2
#define encoderB1 3 #define encoderB1 3
@ -84,7 +85,7 @@ void setup() {
Wire.begin(); Wire.begin();
Serial.begin(115200); Serial.begin(115200);
while (!Serial) while (!Serial)
delay(10); // will pause Zero, Leonardo, etc until serial console opens delay(10); // will pause until serial console opens
gyro_setup(); gyro_setup();
@ -94,7 +95,6 @@ void setup() {
pinMode(encoderA2, INPUT_PULLUP); pinMode(encoderA2, INPUT_PULLUP);
pinMode(encoderB2, INPUT_PULLUP); pinMode(encoderB2, INPUT_PULLUP);
attachInterrupt(digitalPinToInterrupt(encoderA1), pulseA, RISING); attachInterrupt(digitalPinToInterrupt(encoderA1), pulseA, RISING);
//attachInterrupt(digitalPinToInterrupt(encoderB1), pulseB, RISING);
pinMode(MotorPinA, OUTPUT); pinMode(MotorPinA, OUTPUT);
pinMode(MotorSpeedA, OUTPUT); pinMode(MotorSpeedA, OUTPUT);
@ -112,14 +112,13 @@ void loop() {
int m = millis(); int m = millis();
if (m - lastCorrectionTime >= fastTimer) { //run this code ever 80ms (12.5hz) if (m - lastCorrectionTime >= fastTimer) { //run this code every [fastTimer]ms
lastCorrectionTime = m; lastCorrectionTime = m;
getSpeed(); getSpeed();
setSpeed(); setSpeed();
} }
if (m - lastPrintTime >= slowTimer) { //run this code every if (m - lastPrintTime >= slowTimer) { //run this code every [slowTimer]ms
lastPrintTime = m; lastPrintTime = m;
//set_test_speed();
printInfo(); printInfo();
} }
} }
@ -150,25 +149,9 @@ void printInfo(){
Serial.print("RPM: "); Serial.println(rpm); //ca. 56 tick per rotation Serial.print("RPM: "); Serial.println(rpm); //ca. 56 tick per rotation
Serial.print("Rads per second: "); Serial.println(rps); //ca. 56 tick per rotation, 6.26 rads per rotation Serial.print("Rads per second: "); Serial.println(rps); //ca. 56 tick per rotation, 6.26 rads per rotation
} }
/*
int temp_counter = 0;
void set_test_speed(){
digitalWrite(MotorPinB, CCW);
digitalWrite(MotorPinA, CW);
speed = temp_counter;
Serial.print("Speed pre calc: "); Serial.println(speed); //ca. 56 tick per rotation, 6.26 rads per rotation
speed = 3145.84/(pow((90.75 - speed),1.00715));
speed = constrain(speed, 0, 255);
analogWrite(MotorSpeedB, speed); //Wheel close to connections
analogWrite(MotorSpeedA, speed); //First experiment wheel
Serial.print("Rads per second: "); Serial.println(rps); //ca. 56 tick per rotation, 6.26 rads per rotation
Serial.print("Speed: "); Serial.println(speed); //ca. 56 tick per rotation, 6.26 rads per rotation
temp_counter += 3;
}
*/
void setSpeed(){ void setSpeed(){
if(abs(safe_angle)<50 ){ if(abs(safe_angle)<50 ){
//speed = 8*safe_angle;
float position_m = countA/174.76; float position_m = countA/174.76;
float speed_ms = rps * 0.05; float speed_ms = rps * 0.05;
float angle_r = angle_pitch_output * 0.318; float angle_r = angle_pitch_output * 0.318;

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@ -1,40 +1,17 @@
//LQR-stuff //LQR.ino
//#include "Arduino_skal.h"
// | ///////////////////////////////////
// | //Row 24-52 in Arduino_skal_data.cpp
// v ///////////////////////////////////
// Expression: A
// Referenced by: '<Root>/Gain4'
const double matrix_A [16] = { 0.0, 0.0, 0.0, 0.0, const double matrix_A [16] = { 0.0, 0.0, 0.0, 0.0,
1.0, -0.20780947085442231, 0.0, -0.52810302415000854, 1.0, -0.20780947085442231, 0.0, -0.52810302415000854,
0.0, 13.239785742831822, 0.0, 58.601480177829842, 0.0, 13.239785742831822, 0.0, 58.601480177829842,
0.0, 0.0, 1.0, 0.0 }; 0.0, 0.0, 1.0, 0.0 };
//const double matrix_A [16] = {0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0};
// Expression: C
// Referenced by: '<Root>/Gain6'
const double matrix_C [8] = { 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0 }; const double matrix_C [8] = { 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0 };
//const double matrix_C [8] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 };
// Expression: L
// Referenced by: '<Root>/Gain2'
const double matrix_L [8] = { 56.7847, 799.5294, -1.4914, -57.4160, const double matrix_L [8] = { 56.7847, 799.5294, -1.4914, -57.4160,
-1.0363, -16.1071, 57.0075, 870.8172 }; -1.0363, -16.1071, 57.0075, 870.8172 };
const double matrix_L_old [8] = { 116.63033952875418, 3387.8673967111704, -1.4473912197449676, const double matrix_L_old [8] = { 116.63033952875418, 3387.8673967111704, -1.4473912197449676,
-115.34372132703447, -1.0534041975488044, -48.223441605702455, -115.34372132703447, -1.0534041975488044, -48.223441605702455,
117.16185100039935, 3490.0480780568214 }; 117.16185100039935, 3490.0480780568214 };
//const double matrix_L [8] = { 116.63033952875418, 338.78673967111704, -1.4473912197449676,
// -115.34372132703447, -1.0534041975488044, -48.223441605702455,
// 117.16185100039935, 34.900480780568214 };
// Expression: B
// Referenced by: '<Root>/Gain3'
const double matrix_B [4] = { 0.0, 2.078094708544223, 0.0, 5.2810302415000852 }; const double matrix_B [4] = { 0.0, 2.078094708544223, 0.0, 5.2810302415000852 };
@ -42,25 +19,12 @@ const double matrix_B [4] = { 0.0, 2.078094708544223, 0.0, 5.2810302415000852 };
const double matrix_K_old [4] = {-31.622776601683942, -21.286439360075747, 80.789376267003959, 13.42463576551093}; const double matrix_K_old [4] = {-31.622776601683942, -21.286439360075747, 80.789376267003959, 13.42463576551093};
const double matrix_K [4] = {-0.0316, -0.3938, 22.9455, 3.0629}; const double matrix_K [4] = {-0.0316, -0.3938, 22.9455, 3.0629};
// | ///////////////////////////////////
// | //Row 261-264 in Arduino_skal.cpp
// v ///////////////////////////////////
double Integrator1_CSTATE [4] = {0.0, 0.0, 0.0, 0.0}; double Integrator1_CSTATE [4] = {0.0, 0.0, 0.0, 0.0};
double Sum3[4]; double Sum3[4];
double Sum4[4]; double Sum4[4];
// | ///////////////////////////////////
// | //Row 123-124 in Arduino_skal.cpp
// v ///////////////////////////////////
double tmp[2]; double tmp[2];
double rtb_Saturation = 0.0; double rtb_Saturation = 0.0;
// | ///////////////////////////////////
// | //Row 140-143 in Arduino_skal.cpp
// v ///////////////////////////////////
// Denna funktion bör anropas när styrka + riktning till motorer ska bestämmas.
double saturatedSignalToMotors(){ double saturatedSignalToMotors(){
rtb_Saturation = ((matrix_K[0] * Integrator1_CSTATE[0] + rtb_Saturation = ((matrix_K[0] * Integrator1_CSTATE[0] +
matrix_K[1] * Integrator1_CSTATE[1]) + matrix_K[1] * Integrator1_CSTATE[1]) +
@ -77,9 +41,6 @@ double saturatedSignalToMotors(){
Serial.print("Saturation = "); Serial.println(rtb_Saturation); Serial.print("Saturation = "); Serial.println(rtb_Saturation);
return rtb_Saturation; return rtb_Saturation;
} }
// | ///////////////////////////////////
// | //Row 165-188 in Arduino_skal.cpp
// v ///////////////////////////////////
double inputToControlSystem(float position_m, float angle_r){ double inputToControlSystem(float position_m, float angle_r){
float posAndAng[] = {position_m, angle_r}; float posAndAng[] = {position_m, angle_r};
for (int i = 0; i < 2; i++) { for (int i = 0; i < 2; i++) {
@ -89,15 +50,7 @@ double inputToControlSystem(float position_m, float angle_r){
Integrator1_CSTATE[2]) + matrix_C[i + 6] * Integrator1_CSTATE[2]) + matrix_C[i + 6] *
Integrator1_CSTATE[3]); Integrator1_CSTATE[3]);
} }
// End of Sum: '<Root>/Sum2'
for (int i = 0; i < 4; i++) { for (int i = 0; i < 4; i++) {
// Sum: '<Root>/Sum4' incorporates:
// Gain: '<Root>/Gain2'
// Gain: '<Root>/Gain3'
// Gain: '<Root>/Gain4'
// Integrator: '<Root>/Integrator1'
// Sum: '<Root>/Sum3'
Sum3[i] = ((matrix_L[i + 4] * tmp[1] + matrix_L[i] Sum3[i] = ((matrix_L[i + 4] * tmp[1] + matrix_L[i]
@ -122,28 +75,8 @@ double inputToControlSystem(float position_m, float angle_r){
Arduino_skal_derivatives(); Arduino_skal_derivatives();
return saturatedSignalToMotors(); return saturatedSignalToMotors();
} }
// | ///////////////////////////////////
// | //Row 215-225 in Arduino_skal.cpp
// v ///////////////////////////////////
void Arduino_skal_derivatives() void Arduino_skal_derivatives()
{ {
/*
XDot *_rtXdot;
_rtXdot = ((XDot *) (&rtM)->derivs);
// Derivatives for Integrator: '<Root>/Integrator1'
_rtXdot->Integrator1_CSTATE[0] = Sum4[0];
_rtXdot->Integrator1_CSTATE[1] = Sum4[1];
_rtXdot->Integrator1_CSTATE[2] = Sum4[2];
_rtXdot->Integrator1_CSTATE[3] = Sum4[3];
Integrator1_CSTATE[0] = Sum4[0] * (fastTimer/1000.0);
Integrator1_CSTATE[1] = Sum4[1] * (fastTimer/1000.0);
Integrator1_CSTATE[2] = Sum4[2] * (fastTimer/1000.0);
Integrator1_CSTATE[3] = Sum4[3] * (fastTimer/1000.0);
*/
// Derivatives for Integrator: '<Root>/Integrator1'
for (int i = 0; i < 4; i++) { for (int i = 0; i < 4; i++) {
Integrator1_CSTATE[i] = Sum4[i] * fastTimer/1000.0; Integrator1_CSTATE[i] = Sum4[i] * fastTimer/1000.0;
Serial.print("Integrator: "); Serial.println(Integrator1_CSTATE[i]); Serial.print("Integrator: "); Serial.println(Integrator1_CSTATE[i]);

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@ -1,4 +1,4 @@
//gyroscope stuff //gyro.ino
#include <Adafruit_MPU6050.h> #include <Adafruit_MPU6050.h>
#include <Adafruit_Sensor.h> #include <Adafruit_Sensor.h>
@ -16,7 +16,6 @@ void gyro_setup(){
} }
Serial.println("MPU6050 Found!"); Serial.println("MPU6050 Found!");
//mpu.setAccelerometerRange(MPU6050_RANGE_4_G);
mpu.setAccelerometerRange(MPU6050_RANGE_16_G); mpu.setAccelerometerRange(MPU6050_RANGE_16_G);
Serial.print("Accelerometer range set to: "); Serial.print("Accelerometer range set to: ");
switch (mpu.getAccelerometerRange()) { switch (mpu.getAccelerometerRange()) {
@ -33,7 +32,6 @@ void gyro_setup(){
Serial.println("+-16G"); Serial.println("+-16G");
break; break;
} }
//mpu.setGyroRange(MPU6050_RANGE_500_DEG);
mpu.setGyroRange(MPU6050_RANGE_2000_DEG); mpu.setGyroRange(MPU6050_RANGE_2000_DEG);
Serial.print("Gyro range set to: "); Serial.print("Gyro range set to: ");
switch (mpu.getGyroRange()) { switch (mpu.getGyroRange()) {

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@ -1,39 +1,16 @@
//lqr_fullstate.ino
float lqr_fullstate(float position_m, float speed_ms, float angle_r, float angle_speed_rs){ float lqr_fullstate(float position_m, float speed_ms, float angle_r, float angle_speed_rs){
// const float matrix_K [4] = {-0.0316, -0.3938, 22.9455, 3.0629}; const float matrix_K [4] = {-0.7071, -1.7751, 34.5368, 4.8793};
// const float matrix_K [4] = {-1.0000, -1.8855, 26.6999, 3.8592};
// const float matrix_K [4] = {-1.0000, -1.9058, 27.0579, 3.8886};
// const float matrix_K [4] = {-0.3162, -1.0381, 24.6060, 3.4143};
// const float matrix_K [4] = {-0.1054, -0.6273, 23.5822, 3.1936};
// const float matrix_K [4] = {-0.1054, -0.5273, 23.5546, 3.1876};
// const float matrix_K [4] = {-0.1054, -0.5273, 23.5546, 3.1876};
// const float matrix_K [4] = {-0.7071, -1.5720, 26.0726, 3.7050};
// const float matrix_K [4] = {-0.7071, -1.5980, 26.6081, 4.3220};
const float matrix_K [4] = {-0.7071, -1.7751, 34.5368, 4.8793};
float result; float result;
result = matrix_K[0] * position_m + result = matrix_K[0] * position_m +
matrix_K[1] * speed_ms + matrix_K[1] * speed_ms +
matrix_K[2] * angle_r + matrix_K[2] * angle_r +
matrix_K[3] * angle_speed_rs; matrix_K[3] * angle_speed_rs;
/*
if (result > 0.29) {
result = 0.29;
} else if (result < -0.29) {
result = -0.29;
} else {
result = result;
}*/
Serial.print("K calculation (force): "); Serial.println(result); Serial.print("K calculation (force): "); Serial.println(result);
return result; return result;
} }
float calc_speed(float input, float angle_speed_rs) { float calc_speed(float input, float angle_speed_rs) {
/*
float a = -2971;
float b = -0.9929;
float c = 90.75;
float radps = a * pow(speed, b) + c; ////// the response graph
*/
/* /*
float scale = 1.5; float scale = 1.5;
input = abs(input)*0.30796; // scale down to rad/s (78,53/255) input = abs(input)*0.30796; // scale down to rad/s (78,53/255)