Robust Tracking Control of a Class of Switched Nonlinear Systems with Input Delay under Asynchronous Switching

This paper concerns the problems of stability and robust model reference tracking control for a class of switched nonlinear systems with input delay under asynchronous switching. By proposing a new Lyapunov-Krasovskii functional, and using free-weighting matrices and average dwell time technique, new input-to-state stability conditions are derived in terms of linear matrix inequalities under a certain delay bound. Then, robust model reference tracking control problem is studied based on the proposed Lyapunov-Krasovskii functional; Finally a kind of state feedback control law which guarantees robust model reference tracking performance is proposed. Illustrative examples are presented to demonstrate the efficacy and feasibility of results.

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