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Non-fragile observer-based H∞ finite-time sliding mode control

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Listed:
  • Zhang, Lihua
  • Zhou, Yaoyao
  • Qi, Wenhai
  • Cao, Jinde
  • Cheng, Jun
  • Wei, Yunliang
  • Yan, Xiaoyu
  • Li, Shaowu

Abstract

H∞ finite-time control for uncertain system with the unmeasurable state via the sliding mode control (SMC) approach is discussed in this article. Our attention is to design an appropriate finite-time SMC law to attenuate the influences of parametrical uncertainty and external disturbance. First, an appropriate non-fragile observer-based finite-time SMC law is designed such that the state trajectories can arrive at the specified sliding surface during the finite-time interval. Then, finite-time boundedness (FTBs) is well implemented by partitioning strategy and sufficient conditions are given to realize FTBs for the augment system with H∞ performance. Next, the controller gain and observer gain are obtained by solving the corresponding linear matrix inequalities (LMIs). Finally, a RLC series circuit shows the effectiveness of the proposed SMC approach.

Suggested Citation

  • Zhang, Lihua & Zhou, Yaoyao & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Wei, Yunliang & Yan, Xiaoyu & Li, Shaowu, 2020. "Non-fragile observer-based H∞ finite-time sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    • Handle: RePEc:eee:apmaco:v:375:y:2020:i:c:s0096300320300382
    DOI: 10.1016/j.amc.2020.125069
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    References listed on IDEAS

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    1. Wenhai Qi & Yonggui Kao & Xianwen Gao, 2017. "Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2967-2975, October.
    2. Wenhai Qi & Xianwen Gao, 2016. "Finite-time H-infinite control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 1-1, January.
    3. Wenhai Qi & Xianwen Gao, 2016. "Finite-time control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 500-508, January.
    4. Qi, Wenhai & Zong, Guangdeng & Cheng, Jun & Jiao, Ticao, 2019. "Robust finite-time stabilization for positive delayed semi-Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 139-152.
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