Switched Synchronization with a Guaranteed Performance

A new synchronization method is proposed for switched systems. Based on the Lyapunov stability theory and linear matrix inequality (LMI) formulation, an existence condition of the synchronization controller for switched systems is proposed such that the resulting synchronization error system is asymptotically stable with a guaranteed performance. It is also shown that the design of the desired controller is achieved by solving a set of LMIs, which can be facilitated efficiently by resorting to standard numerical algorithms. A numerical example with simulation results is provided to illustrate the effectiveness and performance of the developed approach.

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