Dynamic output absolute stabilization of a discrete-time switched Lur'e system

Abstract Discrete-time switched Lur’e systems are investigated in this paper. They consist in the interconnection of a switched linear system and modal nonlinearities verifying cone bounded sector conditions. The issue of the design of a stabilizing switching law, that is based only on the knowledge of the output of the system and that is robust with respect to the static nonlinearities, is studied. Sufficient conditions are provided via matrix inequalities extending the Lyapunov-Metzler ones in combination with a min-switching strategy exhibiting a particular structure. Discussions dealing with these conditions are provided.

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