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Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Author

Listed:
  • Leipo Liu
  • Hao Xing
  • Xiangyang Cao
  • Zhumu Fu
  • Shuzhong Song

Abstract

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

Suggested Citation

  • Leipo Liu & Hao Xing & Xiangyang Cao & Zhumu Fu & Shuzhong Song, 2018. "Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    • Handle: RePEc:hin:complx:5790681
    DOI: 10.1155/2018/5790681
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    References listed on IDEAS

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    1. Jun Cheng & Hong Zhu & Shouming Zhong & Yuping Zhang, 2012. "Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, October.
    2. Xudong Zhao & Yunfei Yin & Jun Shen, 2016. "Reset stabilisation of positive linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2773-2782, September.
    3. Dedong Yang & Kai-Yuan Cai, 2011. "Finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 121-128.
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