Input and Output Strictly Passive H-infinity Control of Switched Linear Systems

This paper is concerned with input and output strictly passive H-infinity control of switched linear systems. Based on the definition of input and output strictly passive, a sufficient condition is first derived by using multiple Lyapunov functions method, which can ensure that the autonomous system is asymptotically stable and satisfies H-infinity performance index. Next, the above result is extended to the controlled plant, and the sub-controller with explicit expression of each subsystem is given. Finally, two numerical examples are given to show the validity of the proposed approaches.