Switching Stabilization and l ₂ Gain Performance Controller Synthesis for Discrete-Time Switched Linear Systems

Hai Lin, Panos J. Antsaklis

Proceedings of the 45thConference on Decision and Control
San Diego, USA, December 13-15, 2006.

Abstract—In this paper, the switching controller synthesis problem for a class of discrete-time switched linear systems is considered. In particular, a state dependent switching law is designed to exponentially stabilize the switched systems, while a finite l2 induced gain is achieved. Sufficient synthesis conditions are proposed as bilinear matrix inequalities, which are derived based on multiple Lyapunov functions.

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