Abstract
This article investigates time-varying dynamic output feedback H∞ control problem for discrete-time switched systems by using a time-varying Lyapunov function. A switching rule that depends on available information provided by measured output and time simultaneously is designed for the system with all unstable subsystems. Conditions for l 2-gain performance and time-varying controller synthesis are obtained under this switching rule. It provides a more general framework of analyzing discrete-time switched linear systems as it contains the min-switching as special cases when dwell time is not enforced. Finally, an example shows the effectiveness of the proposed method.
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