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Admissibility analysis and passive output feedback control for one-sided Lipschitz nonlinear singular Markovian jump systems with uncertainties

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Listed:
  • Ren, Junchao
  • Feng, Lihong
  • Fu, Jun
  • Zhuang, Tianyu

Abstract

The paper investigates admissibility analysis, the existence and uniqueness (EU) of solutions and robustly passive asynchronous static output feedback (SOF) control for one-sided Lipschitz (OSL) nonlinear singular Markovian jump systems (SMJSs) with uncertainties. Sufficient conditions are derived to guarantee that OSL nonlinear SMJSs are regular, impulse-free, stochastically stable and have a unique solution with passive performance by using implicit function theorem. With these conditions, the design of robust asynchronous SOF controller is presented in form of linear matrix inequality (LMI) constraints. Finally, an example is given to evaluate the operation of our proposed methods.

Suggested Citation

  • Ren, Junchao & Feng, Lihong & Fu, Jun & Zhuang, Tianyu, 2021. "Admissibility analysis and passive output feedback control for one-sided Lipschitz nonlinear singular Markovian jump systems with uncertainties," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s009630032100494x
    DOI: 10.1016/j.amc.2021.126405
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    References listed on IDEAS

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    1. Wang, Jimin & Ma, Shuping & Zhang, Chenghui, 2016. "Stability analysis and stabilization for nonlinear continuous-time descriptor semi-Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 90-102.
    2. Chen, Jian & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2017. "Mixed H∞ and passive control for singular systems with time delay via static output feedback," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 244-253.
    3. Shaheen, Bilal & Nazir, Muhammad Shahid & Rehan, Muhammad & Ahmad, Sohaira, 2020. "Robust generalized observer design for uncertain one-sided Lipschitz systems," Applied Mathematics and Computation, Elsevier, vol. 365(C).
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