2002 Volume 15 Issue 5 Pages 246-252
In this paper, we propose a control method for nonholonomic chained systems. We transform the systems into time-invariant linear systems using a hybrid time-state control form and solve an optimal control problem to get an optimal trajectory with a switching point. The optimal input is derived as a feedback controller for the system. We apply the proposed method to a 4-wheeled vehicle and give numerical simulation results to show its effectiveness.