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The Robot Controller
The robot is controlled by a closed loop, time invariant and globally stable motor controller.
The target pose is always reached on a straight line, i.e., avoiding cusps and the vehicle moves only forward.
Let (xG,yG,fG) be the robot's pose in the target centered coordinate system (target (0,0,0)).
Kinematic Model: x' = u cos (fG)
y' = u sin (fG)
f' = w = u c angular velocity