root / branches / 16299_s10 / matlab / evolveRobots.m @ 1819
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% n robots |
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% Robot #1 is the queen |
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n = 13; |
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%for movie output use: |
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dt = 0.041709; |
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%else: |
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%dt = .01; |
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tf = 5.5 %40; |
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|
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|
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%shape numbers: |
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%0 = nothing |
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%1 = circle |
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%2 = square |
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%3 = diamond |
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%4 = arrow |
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%5 = semicircles |
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|
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numsteps = ceil(tf / dt) + 1; |
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|
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%%% output options |
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makeMovie = false; |
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showPlots = true; |
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doFeedback = true; |
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shape = 4; |
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|
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if shape == 1 |
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n = 65; |
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elseif shape < 4 |
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n = 65; |
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elseif shape == 4 |
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n = 65; |
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elseif shape == 5 |
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n = 20; |
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end |
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|
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X = zeros(n,numsteps); %cm |
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Y = zeros(n,numsteps); %cm |
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R = zeros(n,numsteps); |
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Theta = zeros(n,numsteps); %rads |
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Phi = zeros(n,numsteps); %rads |
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V = zeros(n,numsteps); %0-255 |
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W = zeros(n,numsteps); %0-255 |
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|
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idx = 2; |
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|
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%W(1,1) = pi; |
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%X(2,1) = 2.3; |
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%Y(2,1) = 5.7; |
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|
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|
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desiredR = zeros(n,1); |
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desiredPhi = zeros(n,1); |
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|
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if doFeedback == false |
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% if we aren't doing feedback just pick random speeds for everyone so |
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% we can see some open loop motion |
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for i=1:n |
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X(i,1) = rand*10 - 5; |
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Y(i,1) = rand*10 - 5; |
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V(i,:) = rand*10; |
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W(i,:) = rand*2*pi; |
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end |
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else |
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|
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if shape == 1 |
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%circle |
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desiredR(:) = 20; |
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desiredPhi = (0:(n-1))*(2*pi/(n-1)); |
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|
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elseif shape == 2 |
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%square |
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desiredPhi = (0:(n-1))*(2*pi/(n-1))+pi/2; |
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for index=2:(n-1)/4 |
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desiredR(index) = 20/cos(abs(desiredPhi(index)-3*pi/4)); |
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end |
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for index=1+(n-1)/4:(n-1)/2 |
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desiredR(index) = 20/sin(abs(desiredPhi(index)-3*pi/4)); |
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end |
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for index=1+(n-1)/2:3*(n-1)/4 |
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desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
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end |
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for index=1+3*(n-1)/4:n-1 |
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desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
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end |
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desiredR(n) = 20*sqrt(2); |
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desiredPhi = desiredPhi-pi/4; |
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|
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elseif shape == 3 |
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%diamond |
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desiredPhi = (0:(n-1))*(2*pi/(n-1))+pi/2; |
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for index=2:(n-1)/4 |
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desiredR(index) = 20/cos(abs(desiredPhi(index)-3*pi/4)); |
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end |
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for index=1+(n-1)/4:(n-1)/2 |
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desiredR(index) = 20/sin(abs(desiredPhi(index)-3*pi/4)); |
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end |
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for index=1+(n-1)/2:3*(n-1)/4 |
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desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
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end |
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for index=1+3*(n-1)/4:n-1 |
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desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
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end |
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desiredR(n) = 20*sqrt(2); |
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|
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elseif shape == 4 |
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%arrow |
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desiredPhi(2:(n-1)/4) = pi; |
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desiredPhi(1+(n-1)/4:(n-1)/2) = 0; |
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|
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for index=1+(n-1)/2:n |
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desiredPhi(index) = index*(2*pi/(n-1))+pi/2; |
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end |
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for index=2:(n-1)/4 |
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desiredR(index) = index*80*sqrt(2)/(n-1); |
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desiredR(index+(n-1)/4) = desiredR(index); |
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end |
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for index=1+(n-1)/2:3*(n-1)/4 |
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desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
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end |
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for index=1+3*(n-1)/4:n-1 |
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desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
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end |
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|
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elseif shape == 5 |
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%2 circles |
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desiredR(1:(n/2)) = 20; |
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desiredR((n/2)+1:n) = 40; |
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desiredPhi(1:(n/2)) = (1:(n/2))*(2*pi/(n-1)); |
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desiredPhi((n/2)+1:n) =(1:(n/2))*(2*pi/(n-1))+pi/3; |
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|
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end |
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|
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|
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V(1,end/2:3*end/4) = 1; |
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%changing orientation of the queen |
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W(1,floor(end/6):floor(end/6)+20) = pi/2; |
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W(1,floor(end/3):floor(end/3)+20) = -1*pi/2; |
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% start robots at random spots |
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%for i=2:n |
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% X(i,1) = rand*15 - 7.5; |
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% Y(i,1) = rand*15 - 7.5; |
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%end |
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|
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|
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end |
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|
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% V(2,:) = 5; |
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% V(3,:) = -10; |
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% V(4,:) = 5; |
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% |
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% W(2,:) = pi; |
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% W(3,:) = 0; |
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% W(4,:) = -pi; |
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color = hsv(n); |
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|
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encoderNoise = .01 * randn(2, n); |
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|
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% The things that end in s are the sensor values |
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Xs = zeros(n,numsteps); |
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Ys = zeros(n,numsteps); |
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Thetas = zeros(n,numsteps); |
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Phis = zeros(n,numsteps); |
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|
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% These are the desired values |
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XD = zeros(n,numsteps); |
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YD = zeros(n,numsteps); |
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ThetaD = zeros(n,numsteps); |
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|
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% These state variables allow the models to maintain some state across calls |
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motorState = []; |
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sensorState = []; |
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|
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%Running error count for integral control |
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XYError = zeros(n,numsteps); |
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ThetaError = zeros(n,numsteps); |
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|
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f = figure; |
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set(f,'NextPlot','replacechildren'); |
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winsize = get(f,'Position'); |
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winsize(1:2) = [0 0]; |
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|
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mov = moviein(numsteps+1,f,winsize); |
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mov(:,1) = getframe(f,winsize); |
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|
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% init |
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xoldSensor = 0; |
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yoldSensor = 0; |
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thetaoldSensor = 0; |
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|
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% Run through each timestep |
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for t = 0:dt:tf |
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|
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|
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|
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% update the true positions using the motor model |
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[X(:,idx), Y(:,idx), Theta(:,idx), Phi(:,idx), motorState, wheels] = ... |
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motionModel(V(:,idx-1), W(:,idx-1), X(:,idx-1), Y(:,idx-1), Theta(:,idx-1), dt, motorState, n); |
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%Phi |
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|
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% Update the sensor values using the sensor model |
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[Xs(:,idx), Ys(:,idx), Thetas(:,idx), Phis(:,idx), sensorState, encoderNoise, xoldSensor, yoldSensor, thetaoldSensor] = ... |
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sensorModel(X(:,idx), Y(:,idx), Theta(:,idx), Phi(:,idx), sensorState, n, encoderNoise, wheels, xoldSensor, yoldSensor, thetaoldSensor, dt); |
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%Phis |
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|
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% visualize real position |
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mov = visualizeRobots(f,n,X,Y,Theta,V,idx,color,mov,winsize); |
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|
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|
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if doFeedback == true |
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[XD(:,idx), YD(:,idx), ThetaD(:,idx)] = desiredPosition(Xs(:,idx),Ys(:,idx),Phis(:,idx),desiredR,desiredPhi); |
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|
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% ThetaD(:,idx) |
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|
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% don't compute for the queen |
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[V(2:end,idx),W(2:end,idx)] = computeTrajectories(Xs(2:end,idx),Ys(2:end,idx),Thetas(2:end,idx),XD(2:end,idx),YD(2:end,idx),ThetaD(2:end,idx),XYError(2:end,idx),ThetaError(2:end,idx),V(2:end,idx-1),W(2:end,idx-1)); |
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end |
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disp(t); |
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%pause %(dt); |
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idx = idx + 1; |
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end |
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if showPlots |
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figure; |
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hold on; |
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title('true X vs. sensed X'); |
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plot(1:idx-1, X(1,:),1:idx-1, Xs(1,:)) |
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plot(1:idx-1, X(2,:),1:idx-1, Xs(2,:)) |
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end |
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|
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if makeMovie |
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disp('making movie...'); |
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movie2avi(mov,'movie.avi'); |
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disp('movie.avi created!'); |
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end |