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getBox4.m
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% getBox: Given the current state, returns a number from 1 to 162
% designating the region of the state space encompassing the current state.
% Returns a value of 163 if a failure state is encountered.
function box = getBox4(theta,thetaDot,x,xDot)
% Convert Pole Angle and Angular Velocity from Radians to Degrees
theta = rad2deg(theta);
thetaDot = rad2deg(thetaDot);
% Failure state. Below threshold
if (x < -2.4 || x > 2.4 || theta < -12 || theta > 12)
box = 163;
else
% Bucket numbers (indices) for Pole Angle
if (theta<-6 && theta>=-12)
thetaBucket = 1;
elseif (theta<-1 && theta>=-6)
thetaBucket = 2;
elseif (theta<0 && theta>=-1)
thetaBucket = 3;
elseif (theta<1 && theta>=0) % zero included
thetaBucket = 4;
elseif (theta<6 && theta>=1)
thetaBucket = 5;
elseif (theta<=12 && theta>=6)
thetaBucket = 6;
end
% Bucket numbers (indices) for Cart Distance
if (x<-0.8 && x>=-2.4)
xBucket = 1;
elseif (x<=0.8 && x>=-0.8)
xBucket = 2;
elseif (x<=2.4 && x>0.8)
xBucket = 3;
end
% Bucket numbers (indices) for Cart Velocity
if (xDot<-0.5)
xDotBucket = 1;
elseif (xDot>=-0.5 && xDot<=0.5)
xDotBucket = 2;
else
xDotBucket = 3;
end
% Bucket numbers (indices) for Pole Angular Velocity
if (thetaDot<-50)
thetaDotBucket = 1;
elseif (thetaDot>=-50&&thetaDot<=50)
thetaDotBucket = 2;
else
thetaDotBucket = 3;
end
% Convert the bucket numbers (vector of indices) to single index for state
box = sub2ind([6,3,3,3],thetaBucket, thetaDotBucket,xBucket,xDotBucket);
end
return;