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All the lab works are here!
Dependencies: ISR_Mini-explorer mbed
Fork of VirtualForces by
main.cpp
- Committer:
- Ludwigfr
- Date:
- 2017-05-18
- Revision:
- 38:3c9f8cbf5250
- Parent:
- 37:462d19bb221f
- Child:
- 39:dd8326ec75ce
File content as of revision 38:3c9f8cbf5250:
#include "mbed.h" #include "robot.h" // Initializes the robot. This include should be used in all main.cpp! #include "math.h" using namespace std; //fill initialLogValues with the values we already know (here the bordurs) void fill_initial_log_values(); //generate a position randomly and makes the robot go there while updating the map void randomize_and_map(); //make the robot do a pi/2 flip void do_half_flip(); //go the the given position while updating the map void go_to_point_with_angle(float target_x, float target_y, float target_angle); //Updates sonar values void update_sonar_values(float leftMm, float frontMm, float rightMm); //function that check if a cell A(x,y) is in the range of the front sonar S(xs,ys) (with an angle depending on the sonar used, front 0, left pi/3, right -pi/3) returns the probability it's occupied/empty [0;1] float compute_probability_t(float x, float y,float xs,float ys, float angleFromSonarPosition, float distanceObstacleDetected); //print the map void print_final_map(); //print the map with the robot marked on it void print_final_map_with_robot_position(); //go to a given line void go_to_line(); //calculate virtual force field and move void vff(); //MATHS heavy functions float dist(float robot_x, float robot_y, float target_x, float target_y); //returns the probability [0,1] that the cell is occupied from the log value lt float log_to_proba(float lt); //returns the log value that the cell is occupied from the probability value [0,1] float proba_to_log(float p); //returns the new log value float compute_log_estimation_lt(float previousLogValue,float currentProbability,float originalLogvalue ); //makes the angle inAngle between 0 and 2pi float rad_angle_check(float inAngle); //returns the angle between the vectors (x,y) and (xs,ys) float compute_angle_between_vectors(float x, float y,float xs,float ys); float robot_center_x_in_orthonormal_x(); float robot_center_y_in_orthonormal_y(); float robot_sonar_front_x_in_orthonormal_x(); float robot_sonar_front_y_in_orthonormal_y(); float robot_sonar_right_x_in_orthonormal_x(); float robot_sonar_right_y_in_orthonormal_y(); float robot_sonar_left_x_in_orthonormal_x(); float robot_sonar_left_y_in_orthonormal_y(); float estimated_width_indice_in_orthonormal_x(int i); float estimated_height_indice_in_orthonormal_y(int j); void compute_angles_and_distance(float target_x, float target_y, float target_angle); void compute_linear_angular_velocities(); //update foceX and forceY if necessary void updateForce(int widthIndice, int heightIndice, float range, float* forceX, float* forceY, float xRobotOrtho, float yRobotOrtho ); //compute the X and Y force void compute_forceX_and_forceY(float targetX, float targetY,float* forceX, float* forceY); const float pi=3.14159; //CONSTANT FORCE FIELD const float FORCE_CONSTANT_REPULSION=50;//TODO tweak it const float FORCE_CONSTANT_ATTRACTION=10;//TODO tweak it const float RANGE_FORCE=50;//TODO tweak it //spec of the sonar //TODO MEASURE THE DISTANCE on X and Y of the robot frame, between each sonar and the center of the robot and add it to calculus in updateSonarValues const float RANGE_SONAR=50;//cm const float RANGE_SONAR_MIN=10;//Rmin cm const float INCERTITUDE_SONAR=10;//cm const float ANGLE_SONAR=pi/3;//Omega rad //those distance and angle are approximation in need of measurements, in the orthonormal frame const float ANGLE_FRONT_TO_LEFT=10*pi/36;//50 degrees const float DISTANCE_SONAR_LEFT_X=-4; const float DISTANCE_SONAR_LEFT_Y=4; const float ANGLE_FRONT_TO_RIGHT=-10*pi/36;//-50 degrees const float DISTANCE_SONAR_RIGHT_X=4; const float DISTANCE_SONAR_RIGHT_Y=4; const float ANGLE_FRONT_TO_FRONT=0; const float DISTANCE_SONAR_FRONT_X=0; const float DISTANCE_SONAR_FRONT_Y=5; //TODO adjust the size of the map for computation time (25*25?) const float WIDTH_ARENA=120;//cm const float HEIGHT_ARENA=90;//cm //const int SIZE_MAP=25; const int NB_CELL_WIDTH=24; const int NB_CELL_HEIGHT=18; //position and orientation of the robot when put on the map (ODOMETRY doesn't know those) it's in the robot frame //this configuration suppose that the robot is in the middle of the arena facing up (to be sure you can use print_final_map_with_robot_position //const float DEFAULT_X=HEIGHT_ARENA/2; //const float DEFAULT_Y=WIDTH_ARENA/2; const float DEFAULT_X=10;//lower right const float DEFAULT_Y=10;//lower right const float DEFAULT_THETA=0; //used to create the map 250 represent the 250cm of the square where the robot is tested //float sizeCell=250/(float)SIZE_MAP; float sizeCellWidth=WIDTH_ARENA/(float)NB_CELL_WIDTH; float sizeCellHeight=HEIGHT_ARENA/(float)NB_CELL_HEIGHT; float map[NB_CELL_WIDTH][NB_CELL_HEIGHT];//contains the log values for each cell float initialLogValues[NB_CELL_WIDTH][NB_CELL_HEIGHT]; //Diameter of a wheel and distance between the 2 const float RADIUS_WHEELS=3.25; const float DISTANCE_WHEELS=7.2; const int MAX_SPEED=100;//TODO TWEAK THE SPEED SO IT DOES NOT FUCK UP float alpha; //angle error float rho; //distance from target float beta; float kRho=12, ka=30, kb=-13, kv=200, kh=200; //Kappa values //TODO check kv, kh for go_to_line float linear, angular, angular_left, angular_right; float dt=0.5; float temp; float d2; Timer t; int speed=MAX_SPEED; // Max speed at beggining of movement float leftMm; float frontMm; float rightMm; float line_a; float line_b; float line_c; float targetX=HEIGHT_ARENA-10;//this is in the robot frame top left float targetY=WIDTH_ARENA-10;//this is in the robot frame top left bool reached=false; int main(){ i2c1.frequency(100000); initRobot(); //Initializing the robot pc.baud(9600); // baud for the pc communication measure_always_on();//TODO check if needed wait(0.5); fill_initial_log_values(); theta=DEFAULT_THETA; X=DEFAULT_X; Y=DEFAULT_Y; while (!reached) { vff(); print_final_map_with_robot_position(); } //Stop at the end leftMotor(1,0); rightMotor(1,0); while(1){ print_final_map_with_robot_position(); } } //fill initialLogValues with the values we already know (here the bordurs) void fill_initial_log_values(){ //Fill map, we know the border are occupied for (int i = 0; i<NB_CELL_WIDTH; i++) { for (int j = 0; j<NB_CELL_HEIGHT; j++) { if(j==0 || j==NB_CELL_HEIGHT-1 || i==0 || i==NB_CELL_WIDTH-1) initialLogValues[i][j] = proba_to_log(1); else initialLogValues[i][j] = proba_to_log(0.5); } } } //generate a position randomly and makes the robot go there while updating the map void randomize_and_map() { //TODO check that it's aurelien's work float target_x = (rand()%(int)(HEIGHT_ARENA*10))/10;//for decimal precision float target_y = (rand()%(int)(WIDTH_ARENA*10))/10; float target_angle = 2*((float)(rand()%31416)-15708)/10000.0; //TODO comment that //pc.printf("\n\r targ_X=%f", target_x); //pc.printf("\n\r targ_Y=%f", target_y); //pc.printf("\n\r targ_Angle=%f", target_angle); go_to_point_with_angle(target_x, target_y, target_angle); } void do_half_flip(){ Odometria(); float theta_plus_h_pi=theta+pi/2;//theta is between -pi and pi if(theta_plus_h_pi > pi) theta_plus_h_pi=-(2*pi-theta_plus_h_pi); leftMotor(0,100); rightMotor(1,100); while(abs(theta_plus_h_pi-theta)>0.05){ Odometria(); // pc.printf("\n\r diff=%f", abs(theta_plus_pi-theta)); } leftMotor(1,0); rightMotor(1,0); } //go the the given position while updating the map //TODO clean this procedure it's ugly as hell and too long void go_to_point_with_angle(float target_x, float target_y, float target_angle) { Odometria(); alpha = atan2((target_y-Y),(target_x-X))-theta; alpha = atan(sin(alpha)/cos(alpha)); rho = dist(X, Y, target_x, target_y); beta = -alpha-theta+target_angle; //beta = atan(sin(beta)/cos(beta)); bool keep_going=true; do { //Timer stuff dt = t.read(); t.reset(); t.start(); //Updating X,Y and theta with the odometry values Odometria(); leftMm = get_distance_left_sensor(); frontMm = get_distance_front_sensor(); rightMm = get_distance_right_sensor(); //pc.printf("\n\r leftMm=%f", leftMm); //pc.printf("\n\r frontMm=%f", frontMm); //pc.printf("\n\r rightMm=%f", rightMm); //if in dangerzone if(frontMm < 120 || leftMm <120 || rightMm <120){ leftMotor(1,0); rightMotor(1,0); update_sonar_values(leftMm, frontMm, rightMm); //TODO Giorgos maybe you can also test the do_half_flip() function Odometria(); //do a flip TODO keep_going=false; do_half_flip(); }else{ //if not in danger zone continue as usual update_sonar_values(leftMm, frontMm, rightMm); compute_angles_and_distance(target_x, target_y, target_angle); //Compute the angles and the distance from target compute_linear_angular_velocities(); //Using the angles and distance, compute the velocities needed (linear & angular) //pc.printf("\n\r X=%f", X); //pc.printf("\n\r Y=%f", Y); //pc.printf("\n\r a_r=%f", angular_right); //pc.printf("\n\r a_l=%f", angular_left); //Updating motor velocities leftMotor(1,angular_left); rightMotor(1,angular_right); wait(0.2); //Timer stuff t.stop(); } } while(d2>1 && (abs(target_angle-theta)>0.01) && keep_going); //Stop at the end leftMotor(1,0); rightMotor(1,0); } //Updates sonar values void update_sonar_values(float leftMm, float frontMm, float rightMm){ float currProba; float i_in_orthonormal; float j_in_orthonormal; for(int i=0;i<NB_CELL_WIDTH;i++){ for(int j=0;j<NB_CELL_HEIGHT;j++){ //check if the point A(x,y) in the world frame is within the range of the sonar (which has the coordinates xs, ys in the world frame) //check that again //compute for front sonar i_in_orthonormal=estimated_width_indice_in_orthonormal_x(i); j_in_orthonormal=estimated_height_indice_in_orthonormal_y(j); currProba=compute_probability_t(i_in_orthonormal,j_in_orthonormal,robot_sonar_front_x_in_orthonormal_x(),robot_sonar_front_y_in_orthonormal_y(),ANGLE_FRONT_TO_FRONT,frontMm/10); map[i][j]=map[i][j]+proba_to_log(currProba)+initialLogValues[i][j];//map is filled as map[0][0] get the data for the point closest to the origin //compute for right sonar currProba=compute_probability_t(i_in_orthonormal,j_in_orthonormal,robot_sonar_right_x_in_orthonormal_x(),robot_sonar_right_y_in_orthonormal_y(),ANGLE_FRONT_TO_RIGHT,rightMm/10); map[i][j]=map[i][j]+proba_to_log(currProba)+initialLogValues[i][j]; //compute for left sonar currProba=compute_probability_t(i_in_orthonormal,j_in_orthonormal,robot_sonar_left_x_in_orthonormal_x(),robot_sonar_left_y_in_orthonormal_y(),ANGLE_FRONT_TO_LEFT,leftMm/10); map[i][j]=map[i][j]+proba_to_log(currProba)+initialLogValues[i][j]; } } } //ODOMETRIA MUST HAVE BEEN CALLED //function that check if a cell A(x,y) is in the range of the front sonar S(xs,ys) (with an angle depending on the sonar used, front 0, left pi/3, right -pi/3) returns the probability it's occupied/empty [0;1] float compute_probability_t(float x, float y,float xs,float ys, float angleFromSonarPosition, float distanceObstacleDetected){ float alpha=compute_angle_between_vectors(x,y,xs,ys);//angle beetween the point and the sonar beam float alphaBeforeAdjustment=alpha-theta-angleFromSonarPosition; alpha=rad_angle_check(alphaBeforeAdjustment);//TODO I feel you don't need to do that but I m not sure float distancePointToSonar=sqrt(pow(x-xs,2)+pow(y-ys,2)); //check if the distance between the cell and the robot is within the circle of range RADIUS_WHEELS //check if absolute difference between the angles is no more than Omega/2 if( distancePointToSonar < (RANGE_SONAR)&& (alpha <= ANGLE_SONAR/2 || alpha >= rad_angle_check(-ANGLE_SONAR/2))){ if( distancePointToSonar < (distanceObstacleDetected - INCERTITUDE_SONAR)){ //point before obstacle, probably empty /*****************************************************************************/ float Ea=1.f-pow((2*alphaBeforeAdjustment)/ANGLE_SONAR,2); float Er; if(distancePointToSonar < RANGE_SONAR_MIN){ //point before minimum sonar range Er=0.f; }else{ //point after minimum sonar range Er=1.f-pow((distancePointToSonar-RANGE_SONAR_MIN)/(distanceObstacleDetected-INCERTITUDE_SONAR-RANGE_SONAR_MIN),2); } /*****************************************************************************/ return (1.f-Er*Ea)/2.f; }else{ //probably occupied /*****************************************************************************/ float Oa=1.f-pow((2*alphaBeforeAdjustment)/ANGLE_SONAR,2); float Or; if( distancePointToSonar <= (distanceObstacleDetected + INCERTITUDE_SONAR)){ //point between distanceObstacleDetected +- INCERTITUDE_SONAR Or=1-pow((distancePointToSonar-distanceObstacleDetected)/(INCERTITUDE_SONAR),2); }else{ //point after in range of the sonar but after the zone detected Or=0; } /*****************************************************************************/ return (1+Or*Oa)/2; } }else{ //not checked by the sonar return 0.5; } } void print_final_map() { float currProba; pc.printf("\n\r"); for (int y = NB_CELL_HEIGHT -1; y>-1; y--) { for (int x= 0; x<NB_CELL_WIDTH; x++) { currProba=log_to_proba(map[x][y]); if ( currProba < 0.5) { pc.printf(" "); } else { if(currProba==0.5) pc.printf(" . "); else pc.printf(" X "); } } pc.printf("\n\r"); } } void print_final_map_with_robot_position() { float currProba; Odometria(); float Xrobot=robot_center_x_in_orthonormal_x(); float Yrobot=robot_center_y_in_orthonormal_y(); float heightIndiceInOrthonormal; float widthIndiceInOrthonormal; float widthMalus=-(3*sizeCellWidth/2); float widthBonus=sizeCellWidth/2; float heightMalus=-(3*sizeCellHeight/2); float heightBonus=sizeCellHeight/2; pc.printf("\n\r"); for (int y = NB_CELL_HEIGHT -1; y>-1; y--) { for (int x= 0; x<NB_CELL_WIDTH; x++) { heightIndiceInOrthonormal=estimated_height_indice_in_orthonormal_y(y); widthIndiceInOrthonormal=estimated_width_indice_in_orthonormal_x(x); if(Yrobot >= (heightIndiceInOrthonormal+heightMalus) && Yrobot <= (heightIndiceInOrthonormal+heightBonus) && Xrobot >= (widthIndiceInOrthonormal+widthMalus) && Xrobot <= (widthIndiceInOrthonormal+widthBonus)) pc.printf(" R "); else{ currProba=log_to_proba(map[x][y]); if ( currProba < 0.5) pc.printf(" "); else{ if(currProba==0.5) pc.printf(" . "); else pc.printf(" X "); } } } pc.printf("\n\r"); } } //MATHS heavy functions /**********************************************************************/ //Distance computation function float dist(float robot_x, float robot_y, float target_x, float target_y){ return sqrt(pow(target_y-robot_y,2) + pow(target_x-robot_x,2)); } //returns the probability [0,1] that the cell is occupied from the log valAue lt float log_to_proba(float lt){ return 1-1/(1+exp(lt)); } //returns the log value that the cell is occupied from the probability value [0,1] float proba_to_log(float p){ return log(p/(1-p)); } //returns the new log value float compute_log_estimation_lt(float previousLogValue,float currentProbability,float originalLogvalue ){ return previousLogValue+proba_to_log(currentProbability)-originalLogvalue; } //makes the angle inAngle between 0 and 2pi float rad_angle_check(float inAngle){ //cout<<"before :"<<inAngle; if(inAngle > 0){ while(inAngle > (2*pi)) inAngle-=2*pi; }else{ while(inAngle < 0) inAngle+=2*pi; } //cout<<" after :"<<inAngle<<endl; return inAngle; } //returns the angle between the vectors (x,y) and (xs,ys) float compute_angle_between_vectors(float x, float y,float xs,float ys){ //alpha angle between ->x and ->SA //vector S to A ->SA float vSAx=x-xs; float vSAy=y-ys; //norme SA float normeSA=sqrt(pow(vSAx,2)+pow(vSAy,2)); //vector ->x (1,0) float cosAlpha=1*vSAy/*+0*vSAx*//normeSA;; //vector ->y (0,1) float sinAlpha=/*0*vSAy+*/1*vSAx/normeSA;//+0*vSAx; if (sinAlpha < 0) return -acos(cosAlpha); else return acos(cosAlpha); } /* Robot frame: orthonormal frame: ^ ^ |x |y <- R O -> y x */ //Odometria must bu up to date float x_robot_in_orthonormal_x(float x, float y){ return robot_center_x_in_orthonormal_x()-y; } //Odometria must bu up to date float y_robot_in_orthonormal_y(float x, float y){ return robot_center_y_in_orthonormal_y()+x; } float robot_center_x_in_orthonormal_x(){ return NB_CELL_WIDTH*sizeCellWidth-Y; } float robot_center_y_in_orthonormal_y(){ return X; } float robot_sonar_front_x_in_orthonormal_x(){ return robot_center_x_in_orthonormal_x()+DISTANCE_SONAR_FRONT_X; } float robot_sonar_front_y_in_orthonormal_y(){ return robot_center_y_in_orthonormal_y()+DISTANCE_SONAR_FRONT_Y; } float robot_sonar_right_x_in_orthonormal_x(){ return robot_center_x_in_orthonormal_x()+DISTANCE_SONAR_RIGHT_X; } float robot_sonar_right_y_in_orthonormal_y(){ return robot_center_y_in_orthonormal_y()+DISTANCE_SONAR_RIGHT_Y; } float robot_sonar_left_x_in_orthonormal_x(){ return robot_center_x_in_orthonormal_x()+DISTANCE_SONAR_LEFT_X; } float robot_sonar_left_y_in_orthonormal_y(){ return robot_center_y_in_orthonormal_y()+DISTANCE_SONAR_LEFT_Y; } float estimated_width_indice_in_orthonormal_x(int i){ return sizeCellWidth/2+i*sizeCellWidth; } float estimated_height_indice_in_orthonormal_y(int j){ return sizeCellHeight/2+j*sizeCellHeight; } void compute_angles_and_distance(float target_x, float target_y, float target_angle){ alpha = atan2((target_y-Y),(target_x-X))-theta; alpha = atan(sin(alpha)/cos(alpha)); rho = dist(X, Y, target_x, target_y); d2 = rho; beta = -alpha-theta+target_angle; //Computing angle error and distance towards the target value rho += dt*(-kRho*cos(alpha)*rho); temp = alpha; alpha += dt*(kRho*sin(alpha)-ka*alpha-kb*beta); beta += dt*(-kRho*sin(temp)); //pc.printf("\n\r d2=%f", d2); //pc.printf("\n\r dt=%f", dt); } void compute_linear_angular_velocities(){ //Computing linear and angular velocities if(alpha>=-1.5708 && alpha<=1.5708){ linear=kRho*rho; angular=ka*alpha+kb*beta; } else{ linear=-kRho*rho; angular=-ka*alpha-kb*beta; } angular_left=(linear-0.5*DISTANCE_WHEELS*angular)/RADIUS_WHEELS; angular_right=(linear+0.5*DISTANCE_WHEELS*angular)/RADIUS_WHEELS; //Slowing down at the end for more precision // if (d2<25) { // speed = d2*30; // } //Normalize speed for motors if(angular_left>angular_right) { angular_right=speed*angular_right/angular_left; angular_left=speed; } else { angular_left=speed*angular_left/angular_right; angular_right=speed; } } void updateForce(int widthIndice, int heightIndice, float range, float* forceX, float* forceY, float xRobotOrtho, float yRobotOrtho ){ //get the coordonate of the map and the robot in the ortonormal frame float xCenterCell=estimated_width_indice_in_orthonormal_x(widthIndice); float yCenterCell=estimated_height_indice_in_orthonormal_y(heightIndice); //compute the distance beetween the cell and the robot float distanceCellToRobot=sqrt(pow(xCenterCell-xRobotOrtho,2)+pow(yCenterCell-yRobotOrtho,2)); //check if the cell is in range if(distanceCellToRobot <= (range)) { float probaCell=log_to_proba(map[widthIndice][heightIndice]); float xForceComputed=FORCE_CONSTANT_REPULSION*probaCell*(xCenterCell-xRobotOrtho)/pow(distanceCellToRobot,3); float yForceComputed=FORCE_CONSTANT_REPULSION*probaCell*(yCenterCell-yRobotOrtho)/pow(distanceCellToRobot,3); *forceX+=xForceComputed; *forceY+=yForceComputed; } } //compute the force on X and Y void compute_forceX_and_forceY(float targetX, float targetY, float* forceX, float* forceY){ //we put the position of the robot in an orthonormal frame float xRobotOrtho=robot_center_x_in_orthonormal_x(); float yRobotOrtho=robot_center_y_in_orthonormal_y(); //we put the target of the robot in an orthonormal frame float targetXOrtho=x_robot_in_orthonormal_x(targetX,targetY); float targetYOrtho=y_robot_in_orthonormal_y(targetX,targetY); float forceRepulsionComputedX=0; float forceRepulsionComputedY=0; //for each cell of the map we compute a force of repulsion for(int i=0;i<NB_CELL_WIDTH;i++){ for(int j=0;j<NB_CELL_HEIGHT;j++){ updateForce(i,j,RANGE_FORCE,&forceRepulsionComputedX,&forceRepulsionComputedY,xRobotOrtho,yRobotOrtho); } } //update with attraction force *forceX=-forceRepulsionComputedX; *forceY=-forceRepulsionComputedY; *forceX+=FORCE_CONSTANT_ATTRACTION*(targetXOrtho-xRobotOrtho)/sqrt(pow(targetXOrtho-xRobotOrtho,2)+pow(targetYOrtho-yRobotOrtho,2)); *forceY+=FORCE_CONSTANT_ATTRACTION*(targetYOrtho-yRobotOrtho)/sqrt(pow(targetXOrtho-xRobotOrtho,2)+pow(targetYOrtho-yRobotOrtho,2)); float amplitude=sqrt(pow(*forceX,2)+pow(*forceY,2)); if(amplitude!=0){//avoid division by 0 *forceX=*forceX/amplitude; *forceY=*forceY/amplitude; } } void calculate_line(float forceX, float forceY, float robotX, float robotY){ line_a=forceY; line_b=-forceX; line_c=forceX*robotY-forceY*robotX; } void vff(){ //Updating X,Y and theta with the odometry values float forceX=0; float forceY=0; //we update the odometrie Odometria(); //we check the sensors leftMm = get_distance_left_sensor(); frontMm = get_distance_front_sensor(); rightMm = get_distance_right_sensor(); //update the probabilities values update_sonar_values(leftMm, frontMm, rightMm); //we compute the force on X and Y compute_forceX_and_forceY(targetX, targetY,&forceX, &forceY); //we compute a new ine calculate_line(forceX, forceY, X, Y); go_to_line(); pc.printf("\r\n forceX=%f", forceX); pc.printf("\r\n forceY=%f", forceY); pc.printf("\r\n line: %f x + %f y + %f =0", line_a, line_b, line_c); //Updating motor velocities leftMotor(1,angular_left); rightMotor(1,angular_right); pc.printf("\r\n angR=%f", angular_right); pc.printf("\r\n angL=%f", angular_left); pc.printf("\r\n dist=%f", dist(X,Y,targetX,targetY)); wait(0.1); Odometria(); if(dist(X,Y,targetX,targetY)<10) reached=true; } void go_to_line(){ float line_angle, angle_error; if(line_b!=0){ line_angle=atan(-line_a/line_b); } else{ line_angle=1.5708; } //Computing angle error angle_error = line_angle-theta; angle_error = atan(sin(angle_error)/cos(angle_error)); //Calculating velocities linear=kv*(3.1416); angular=kh*angle_error; angular_left=(linear-0.5*DISTANCE_WHEELS*angular)/RADIUS_WHEELS; angular_right=(linear+0.5*DISTANCE_WHEELS*angular)/RADIUS_WHEELS; //Normalize speed for motors if(angular_left>angular_right) {fill_initial_log_values(); angular_right=speed*angular_right/angular_left; angular_left=speed; } else { angular_left=speed*angular_left/angular_right; angular_right=speed; } }