Switched Synchronization with a Guaranteed ℋ_∞ Performance

A new ℋ_∞ synchronization method is proposed for switched systems. Based on the Lyapunov stability theory and linear matrix inequality (LMI) formulation, an existence condition of the ℋ_∞ synchronization controller for switched systems is proposed such that the resulting synchronization error system is asymptotically stable with a guaranteed ℋ_∞ 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.