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-gain analysis and control synthesis of positive switched systems

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  • Junfeng Zhang
  • Zhengzhi Han
  • Fubo Zhu

Abstract

This paper investigates the problems of L1-gain analysis and control synthesis of positive switched systems. Linear supply rates and L1-gain notations are introduced to analyse the performance of the underlying systems. Stability with a weighted L1-gain for autonomous systems are solved by using multiple linear copositive Lyapunov functions incorporated with the average dwell time approach. Then, state-feedback and output-feedback controllers are designed to guarantee the stabilisation with a weighted L1-gain for non-autonomous systems. All present conditions are solvable in terms of linear programming. Finally, a practical example is given to illustrate the validity of theoretical findings.

Suggested Citation

  • Junfeng Zhang & Zhengzhi Han & Fubo Zhu, 2015. "-gain analysis and control synthesis of positive switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2111-2121, September.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2111-2121
    DOI: 10.1080/00207721.2013.849773
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    References listed on IDEAS

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    1. Xudong Zhao & Hao Liu & Zhenhuan Wang, 2013. "Weighted performance analysis of switched linear systems with mode-dependent average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2130-2139.
    2. Yanhui Tong & Lixian Zhang & Peng Shi & Changhong Wang, 2013. "A common linear copositive Lyapunov function for switched positive linear systems with commutable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 1994-2003.
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