Switching control synthesis for discrete-time switched linear systems via modified Lyapunov-Metzler inequalities

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Conference Proceeding

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This paper addresses the switching control synthesis problem of discrete-time switched linear systems. A particular class of matrix inequalities, the so-called Lyapunov-Metzler inequalities is modified to provide conditions for stability analysis and output feedback control synthesis under a relaxed min-switching logic. The switching rule combined with switching output feedback controllers are designed to stabilize the switched closed-loop system and satisfy a pre-specified 2 gain performance. The proposed switching control approach is to reduce the high frequency switches commonly observed in min-switching strategy based designs. The effectiveness of the proposed approach is illustrated through a numerical example. © 2012 AACC American Automatic Control Council).

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