基于Matlab实现potential算法路径规划仿真（源码+图片）.rar

map=int16(im2bw(imread('map1.bmp'))); % input map read from a bmp file. for new maps write the file name here source=[50 50]; % source position in Y, X format goal=[450 450]; % goal position in Y, X format robotDirection=pi/8; % initial heading direction robotSize=[10 10]; %length and breadth robotSpeed=10; % arbitrary units maxRobotSpeed=10; % arbitrary units S=10; % safety distance distanceThreshold=30; % a threshold distace. points within this threshold can be taken as same. maxAcceleration=10; % maximum speed change per unit time maxTurn=10*pi/180; % potential outputs to turn are restriect to -60 and 60 degrees. k=3; % degree of calculating potential attractivePotentialScaling=300000; % scaling factor for attractive potential repulsivePotentialScaling=300000; % scaling factor for repulsive potential minAttractivePotential=0.5; % minimum attractive potential at any point %%%%% parameters end here %%%%% currentPosition=source; % position of the centre of the robot currentDirection=robotDirection; % direction of orientation of the robot robotHalfDiagonalDistance=((robotSize(1)/2)^2+(robotSize(2)/2)^2)^0.5; % used for distance calculations pathFound=false; % has goal been reached pathCost=0; t=1; imshow(map==1); rectangle('position',[1 1 size(map)-1],'edgecolor','k') pathLength=0; if ~plotRobot(currentPosition,currentDirection,map,robotHalfDiagonalDistance) error('source lies on an obstacle or outside map'); end M(t)=getframe; t=t+1; if ~feasiblePoint(goal,map), error('goal lies on an obstacle or outside map'); end tic; while ~pathFound % calculate distance from obstacle at front i=robotSize(1)/2+1; while true x=int16(currentPosition+i*[sin(currentDirection) cos(currentDirection)]); if ~feasiblePoint(x,map), break; end i=i+1; end distanceFront=i-robotSize(1)/2; % robotSize(1)/2 distance included in i was inside the robot body % calculate distance from obstacle at left i=robotSize(2)/2+1; while true x=int16(currentPosition+i*[sin(currentDirection-pi/2) cos(currentDirection-pi/2)]); if ~feasiblePoint(x,map), break; end i=i+1; end distanceLeft=i-robotSize(2)/2; % calculate distance from obstacle at right i=robotSize(2)/2+1; while true x=int16(currentPosition+i*[sin(currentDirection+pi/2) cos(currentDirection+pi/2)]); if ~feasiblePoint(x,map), break; end i=i+1; end distanceRight=i-robotSize(2)/2; % calculate distance from obstacle at front-left diagonal i=robotHalfDiagonalDistance+1; while true x=int16(currentPosition+i*[sin(currentDirection-pi/4) cos(currentDirection-pi/4)]); if ~feasiblePoint(x,map), break; end i=i+1; end distanceFrontLeftDiagonal=i-robotHalfDiagonalDistance; % calculate distance from obstacle at front-right diagonal i=robotHalfDiagonalDistance+1; while true x=int16(currentPosition+i*[sin(currentDirection+pi/4) cos(currentDirection+pi/4)]); if ~feasiblePoint(x,map), break; end i=i+1; end distanceFrontRightDiagonal=i-robotHalfDiagonalDistance; % calculate angle from goal angleGoal=atan2(goal(1)-currentPosition(1),goal(2)-currentPosition(2)); % calculate diatnce from goal distanceGoal=( sqrt(sum((currentPosition-goal).^2)) ); if distanceGoal<distanceThreshold, pathFound=true; end % compute potentials repulsivePotential=(1.0/distanceFront)^k*[sin(currentDirection) cos(currentDirection)] + ... (1.0/distanceLeft)^k*[sin(currentDirection-pi/2) cos(currentDirection-pi/2)] + ... (1.0/distanceRight)^k*[sin(currentDirection+pi/2) cos(currentDirection+pi/2)] + ... (1.0/distanceFrontLeftDiagonal)^k*[sin(currentDirection-pi/4) cos(currentDirection-pi/4)] + ... (1.0/distanceFrontRightDiagonal)^k*[sin(currentDirection+pi/4) cos(currentDirection+pi/4)]; attractivePotential=max([(1.0/distanceGoal)^k*attractivePotentialScaling minAttractivePotential])*[sin(angleGoal) cos(angleGoal)]; totalPotential=attractivePotential-repulsivePotentialScaling*repulsivePotential; % perform steer preferredSteer=atan2(robotSpeed*sin(currentDirection)+totalPotential(1),robotSpeed*cos(currentDirection)+totalPotential(2))-currentDirection; while preferredSteer>pi, preferredSteer=preferredSteer-2*pi; end % check to get the angle between -pi and pi while preferredSteer<-pi, preferredSteer=preferredSteer+2*pi; end % check to get the angle between -pi and pi preferredSteer=min([maxTurn preferredSteer]); preferredSteer=max([-maxTurn preferredSteer]); currentDirection=currentDirection+preferredSteer; % setting the speed based on vehicle acceleration and speed limits. the vehicle cannot move backwards. preferredSpeed=sqrt(sum((robotSpeed*[sin(currentDirection) cos(currentDirection)] + totalPotential).^2)); preferredSpeed=min([robotSpeed+maxAcceleration preferredSpeed]); robotSpeed=max([robotSpeed-maxAcceleration preferredSpeed]); robotSpeed=min([robotSpeed maxRobotSpeed]); robotSpeed=max([robotSpeed 0]); if robotSpeed==0, error('robot had to stop to avoid collission'); end % calculating new position based on steer and speed newPosition=currentPosition+robotSpeed*[sin(currentDirection) cos(currentDirection)]; pathCost=pathCost+distanceCost(newPosition,currentPosition); currentPosition=newPosition; if ~feasiblePoint(int16(currentPosition),map), error('collission recorded'); end % plotting robot if ~plotRobot(currentPosition,currentDirection,map,robotHalfDiagonalDistance) error('collission recorded'); end M(t)=getframe;t=t+1; end fprintf('processing time=%d \nPath Length=%d \n\n', toc,pathCost);