Analysis and control of switched linear systems via modified Lyapunov–Metzler inequalities |
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Authors: | Chang Duan Fen Wu |
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Affiliation: | Department of Mechanical and Aerospace Engineering, North Carolina State University, , Raleigh, NC 27695 USA |
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Abstract: | This paper addresses analysis and switching control problems of continuous/discrete‐time switched linear systems. A particular class of matrix inequalities, the so‐called Lyapunov–Metzler inequalities, will be 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 will be designed to stabilize the switched system and satisfy a prespecified gain performance. The proposed analysis and switching control approach could refrain frequent switches commonly observed in min‐switching based designs. The effectiveness of the proposed approach will be illustrated through numerical examples. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | stability analysis switching output feedback control min‐switching logic linear matrix inequalities (LMIs) |
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