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Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems

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  • Leipo Liu
  • Xiangyang Cao
  • Zhumu Fu
  • Shuzhong Song

Abstract

The problem of guaranteed cost finite-time control of fractional-order positive switched systems (FOPSS) is considered in this paper. Firstly, a new cost function is defined. Then, by constructing linear copositive Lyapunov functions and using the average dwell time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding closed-loop systems are guaranteed cost finite-time stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Leipo Liu & Xiangyang Cao & Zhumu Fu & Shuzhong Song, 2017. "Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-11, May.
    • Handle: RePEc:hin:jnlamp:2695894
    DOI: 10.1155/2017/2695894
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