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Lyapunov design of global state and output feedback trackers for non-holonomic control systems. (English) Zbl 1006.93537

Summary: New results are obtained for the global tracking of a class of non-holonomic dynamic systems via state and output feedback. The tracking controllers are systematically constructed on the basis of a recursive technique and a full exploitation of the system structure. When disturbances occur in a non-holonomic chained system, it is shown how to modify the controller design procedure to yield robust tracking control laws. The proposed method is demonstrated and discussed by means of a benchmark non-holonomic knife-edge mechanical system.

MSC:

93B52 Feedback control
70F25 Nonholonomic systems related to the dynamics of a system of particles
70Q05 Control of mechanical systems
93D15 Stabilization of systems by feedback
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