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Non-fragile H∞ control for Markovian jump fuzzy systems with time-varying delays

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  • Shu, Feng
  • Li, Min
  • Liu, Duyu

Abstract

This paper focuses on the non-fragile H∞ control of Markovian jump fuzzy systems with time-varying delays. In order to obtain less conservatism, an improved delay partitioning method is introduced, which divides the delay interval into multiple segments with a geometric sequence. A modified Lyapunov–Krasovskii functional is constructed and some less conservative delay-dependent stability criteria are derived by using linear matrix inequalities technique. Then a non-fragile controller is designed. Finally, two numerical examples are given to show the effectiveness of the obtained results.

Suggested Citation

  • Shu, Feng & Li, Min & Liu, Duyu, 2019. "Non-fragile H∞ control for Markovian jump fuzzy systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1177-1191.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1177-1191
    DOI: 10.1016/j.physa.2019.04.059
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    References listed on IDEAS

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    1. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    2. Zhang, Yingqi & Shi, Yan & Shi, Peng, 2016. "Robust and non-fragile finite-time H∞ control for uncertain Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 125-138.
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    Cited by:

    1. Lee, Won Il & Park, Bum Yong & Kim, Sung Hyun, 2022. "Relaxed observer-based stabilization and dissipativity conditions of T-S fuzzy systems with nonhomogeneous Markov jumps via non-PDC scheme," Applied Mathematics and Computation, Elsevier, vol. 434(C).

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