root / branches / 16299_s10 / matlab / evolveRobots.m @ 1820
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| 1 | % n robots |
|---|---|
| 2 | % Robot #1 is the queen |
| 3 | n = 13; |
| 4 | %for movie output use: |
| 5 | dt = 0.041709; |
| 6 | %else: |
| 7 | %dt = .01; |
| 8 | tf = 5.5 %40; |
| 9 | |
| 10 | |
| 11 | %shape numbers: |
| 12 | %0 = nothing |
| 13 | %1 = circle |
| 14 | %2 = square |
| 15 | %3 = diamond |
| 16 | %4 = arrow |
| 17 | %5 = semicircles |
| 18 | |
| 19 | numsteps = ceil(tf / dt) + 1; |
| 20 | |
| 21 | %%% output options |
| 22 | makeMovie = false; |
| 23 | showPlots = true; |
| 24 | doFeedback = false; |
| 25 | shape = 4; |
| 26 | |
| 27 | if shape == 1 |
| 28 | n = 65; |
| 29 | elseif shape < 4 |
| 30 | n = 65; |
| 31 | elseif shape == 4 |
| 32 | n = 65; |
| 33 | elseif shape == 5 |
| 34 | n = 20; |
| 35 | end |
| 36 | |
| 37 | X = zeros(n,numsteps); %cm |
| 38 | Y = zeros(n,numsteps); %cm |
| 39 | R = zeros(n,numsteps); |
| 40 | Theta = zeros(n,numsteps); %rads |
| 41 | Phi = zeros(n,numsteps); %rads |
| 42 | V = zeros(n,numsteps); %0-255 |
| 43 | W = zeros(n,numsteps); %0-255 |
| 44 | |
| 45 | idx = 2; |
| 46 | |
| 47 | %W(1,1) = pi; |
| 48 | %X(2,1) = 2.3; |
| 49 | %Y(2,1) = 5.7; |
| 50 | |
| 51 | |
| 52 | desiredR = zeros(n,1); |
| 53 | desiredPhi = zeros(n,1); |
| 54 | |
| 55 | if doFeedback == false |
| 56 | % if we aren't doing feedback just pick random speeds for everyone so |
| 57 | % we can see some open loop motion |
| 58 | %HACK |
| 59 | V(2,:) = 2; |
| 60 | for i=3:n |
| 61 | X(i,1) = rand*10 - 5; |
| 62 | Y(i,1) = rand*10 - 5; |
| 63 | V(i,:) = rand*10; |
| 64 | W(i,:) = rand*2*pi; |
| 65 | end |
| 66 | else |
| 67 | |
| 68 | if shape == 1 |
| 69 | %circle |
| 70 | desiredR(:) = 20; |
| 71 | desiredPhi = (0:(n-1))*(2*pi/(n-1)); |
| 72 | |
| 73 | elseif shape == 2 |
| 74 | %square |
| 75 | desiredPhi = (0:(n-1))*(2*pi/(n-1))+pi/2; |
| 76 | for index=2:(n-1)/4 |
| 77 | desiredR(index) = 20/cos(abs(desiredPhi(index)-3*pi/4)); |
| 78 | end |
| 79 | for index=1+(n-1)/4:(n-1)/2 |
| 80 | desiredR(index) = 20/sin(abs(desiredPhi(index)-3*pi/4)); |
| 81 | end |
| 82 | for index=1+(n-1)/2:3*(n-1)/4 |
| 83 | desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
| 84 | end |
| 85 | for index=1+3*(n-1)/4:n-1 |
| 86 | desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
| 87 | end |
| 88 | desiredR(n) = 20*sqrt(2); |
| 89 | desiredPhi = desiredPhi-pi/4; |
| 90 | |
| 91 | elseif shape == 3 |
| 92 | %diamond |
| 93 | desiredPhi = (0:(n-1))*(2*pi/(n-1))+pi/2; |
| 94 | for index=2:(n-1)/4 |
| 95 | desiredR(index) = 20/cos(abs(desiredPhi(index)-3*pi/4)); |
| 96 | end |
| 97 | for index=1+(n-1)/4:(n-1)/2 |
| 98 | desiredR(index) = 20/sin(abs(desiredPhi(index)-3*pi/4)); |
| 99 | end |
| 100 | for index=1+(n-1)/2:3*(n-1)/4 |
| 101 | desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
| 102 | end |
| 103 | for index=1+3*(n-1)/4:n-1 |
| 104 | desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
| 105 | end |
| 106 | desiredR(n) = 20*sqrt(2); |
| 107 | |
| 108 | elseif shape == 4 |
| 109 | %arrow |
| 110 | desiredPhi(2:(n-1)/4) = pi; |
| 111 | desiredPhi(1+(n-1)/4:(n-1)/2) = 0; |
| 112 | |
| 113 | for index=1+(n-1)/2:n |
| 114 | desiredPhi(index) = index*(2*pi/(n-1))+pi/2; |
| 115 | end |
| 116 | for index=2:(n-1)/4 |
| 117 | desiredR(index) = index*80*sqrt(2)/(n-1); |
| 118 | desiredR(index+(n-1)/4) = desiredR(index); |
| 119 | end |
| 120 | for index=1+(n-1)/2:3*(n-1)/4 |
| 121 | desiredR(index) = 20/sin(abs(desiredPhi(index)+3*pi/4)); |
| 122 | end |
| 123 | for index=1+3*(n-1)/4:n-1 |
| 124 | desiredR(index) = abs(20/sin(abs(desiredPhi(index)-3*pi/4))); |
| 125 | end |
| 126 | |
| 127 | elseif shape == 5 |
| 128 | %2 circles |
| 129 | desiredR(1:(n/2)) = 20; |
| 130 | desiredR((n/2)+1:n) = 40; |
| 131 | desiredPhi(1:(n/2)) = (1:(n/2))*(2*pi/(n-1)); |
| 132 | desiredPhi((n/2)+1:n) =(1:(n/2))*(2*pi/(n-1))+pi/3; |
| 133 | |
| 134 | end |
| 135 | |
| 136 | |
| 137 | V(1,end/2:3*end/4) = 1; |
| 138 | %changing orientation of the queen |
| 139 | W(1,floor(end/6):floor(end/6)+20) = pi/2; |
| 140 | W(1,floor(end/3):floor(end/3)+20) = -1*pi/2; |
| 141 | % start robots at random spots |
| 142 | %for i=2:n |
| 143 | % X(i,1) = rand*15 - 7.5; |
| 144 | % Y(i,1) = rand*15 - 7.5; |
| 145 | %end |
| 146 | |
| 147 | |
| 148 | end |
| 149 | |
| 150 | % V(2,:) = 5; |
| 151 | % V(3,:) = -10; |
| 152 | % V(4,:) = 5; |
| 153 | % |
| 154 | % W(2,:) = pi; |
| 155 | % W(3,:) = 0; |
| 156 | % W(4,:) = -pi; |
| 157 | |
| 158 | |
| 159 | color = hsv(n); |
| 160 | |
| 161 | encoderNoise = 1 * randn(2, n); |
| 162 | |
| 163 | |
| 164 | % The things that end in s are the sensor values |
| 165 | Xs = zeros(n,numsteps); |
| 166 | Ys = zeros(n,numsteps); |
| 167 | Thetas = zeros(n,numsteps); |
| 168 | Phis = zeros(n,numsteps); |
| 169 | |
| 170 | % These are the desired values |
| 171 | XD = zeros(n,numsteps); |
| 172 | YD = zeros(n,numsteps); |
| 173 | ThetaD = zeros(n,numsteps); |
| 174 | |
| 175 | % These state variables allow the models to maintain some state across calls |
| 176 | motorState = []; |
| 177 | sensorState = []; |
| 178 | |
| 179 | %Running error count for integral control |
| 180 | XYError = zeros(n,numsteps); |
| 181 | ThetaError = zeros(n,numsteps); |
| 182 | |
| 183 | f = figure; |
| 184 | set(f,'NextPlot','replacechildren'); |
| 185 | winsize = get(f,'Position'); |
| 186 | winsize(1:2) = [0 0]; |
| 187 | |
| 188 | mov = moviein(numsteps+1,f,winsize); |
| 189 | mov(:,1) = getframe(f,winsize); |
| 190 | |
| 191 | % init |
| 192 | xoldSensor = 0; |
| 193 | yoldSensor = 0; |
| 194 | thetaoldSensor = 0; |
| 195 | noise = 0; |
| 196 | |
| 197 | % Run through each timestep |
| 198 | for t = 0:dt:tf |
| 199 | |
| 200 | |
| 201 | |
| 202 | % update the true positions using the motor model |
| 203 | [X(:,idx), Y(:,idx), Theta(:,idx), Phi(:,idx), motorState, wheels] = ... |
| 204 | motionModel(V(:,idx-1), W(:,idx-1), X(:,idx-1), Y(:,idx-1), Theta(:,idx-1), dt, motorState, n); |
| 205 | %Phi |
| 206 | |
| 207 | % Update the sensor values using the sensor model |
| 208 | [Xs(:,idx), Ys(:,idx), Thetas(:,idx), Phis(:,idx), sensorState, encoderNoise, xoldSensor, yoldSensor, thetaoldSensor, noise] = ... |
| 209 | sensorModel(X(:,idx), Y(:,idx), Theta(:,idx), Phi(:,idx), sensorState, n, encoderNoise, wheels, xoldSensor, yoldSensor, thetaoldSensor, dt, noise); |
| 210 | %Phis |
| 211 | |
| 212 | % visualize real position |
| 213 | mov = visualizeRobots(f,n,X,Y,Theta,V,idx,color,mov,winsize); |
| 214 | |
| 215 | |
| 216 | if doFeedback == true |
| 217 | [XD(:,idx), YD(:,idx), ThetaD(:,idx)] = desiredPosition(Xs(:,idx),Ys(:,idx),Phis(:,idx),desiredR,desiredPhi); |
| 218 | |
| 219 | % ThetaD(:,idx) |
| 220 | |
| 221 | % don't compute for the queen |
| 222 | [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)); |
| 223 | end |
| 224 | |
| 225 | disp(t); |
| 226 | |
| 227 | %pause %(dt); |
| 228 | |
| 229 | idx = idx + 1; |
| 230 | end |
| 231 | |
| 232 | if showPlots |
| 233 | figure; |
| 234 | hold on; |
| 235 | title('true X vs. sensed X');
|
| 236 | % plot(1:idx-1, X(1,:),1:idx-1, Xs(1,:)) |
| 237 | plot(1:idx-1, X(2,:),1:idx-1, Xs(2,:)) |
| 238 | end |
| 239 | |
| 240 | if makeMovie |
| 241 | disp('making movie...');
|
| 242 | movie2avi(mov,'movie.avi'); |
| 243 | disp('movie.avi created!');
|
| 244 | end |