Stability Analysis and Stabilization of Switched Systems With Average Dwell Time: A Matrix Polynomial Approach

Stability Analysis and Stabilization of Switched Systems With Average Dwell Time: A Matrix Polynomial Approach

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This paper focuses on stability analysis and stabilization of a switched system under average dwell time criteria in the continuous-time domain.The matrix polynomial approach is applied to the switched system to construct a continuous Lyapunov function and design a more effective controller, which can not only improve the system performance but also lessen tuffer bags the system conservativeness.The stability problem is studied with square matricial representation for the first time.The new method is more applicable than previous work under average dwell time switching with the time-varying controller gains.In addition, new sufficient conditions of stability and stabilization are derived to guarantee the global uniform exponential stability of the switched system.

A numerical example is 11m-be0023dx provided to show the advantages of the new method.