Real Time Feedback Control for Nonholonomic Mobile Robots With Obstacles

We introduce a method for constructing smooth feedback laws for a nonholonomic robot in a 2-dimensional polygonal workspace. First, we compute a smooth feedback law in the workspace without taking the nonholonomic constraints into account. We then give a general technique for using this to construct a new smooth feedback law over the entire 3-dimensional configuration space (consisting of position and orientation). The trajectories of the resulting feedback law will be smooth and will stabilize the position of the robot in the plane, neglecting the orientation. Our method is suitable for real time implementation and can be applied to dynamic environments