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Analysis and control of switched linear systems via modified Lyapunov–Metzler inequalities

Authors

  • Chang Duan,

    1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, USA
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  • Fen Wu

    Corresponding author
    1. Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, USA
    • Correspondence to: Fen Wu, Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695, USA.

      E-mail: fwu@eos.ncsu.edu

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SUMMARY

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 math formula 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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