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Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances

Author

Listed:
  • Yankai Li
  • Haibin Sun
  • Guangdeng Zong
  • Linlin Hou

Abstract

In this paper, the problem of composite anti-disturbance resilient control is addressed for time-varying delay Markovian jump nonlinear systems with multiple disturbances. The disturbances are assumed to include two parts: the first one in the input channel is described by an external system with perturbations; the second one is supposed to be bounded H2 norm. By combining disturbance observer and L2–L∞ control method, the disturbances are attenuated and rejected, simultaneously, and the desired dynamic performance can be obtained for time-varying delay Markovian jump nonlinear systems. Moreover, the gains of the resilient controller and the observer are acquired by applying linear matrix inequalities (LMIs) technology. Finally, an application example is presented to show the effectiveness of the proposed approach.

Suggested Citation

  • Yankai Li & Haibin Sun & Guangdeng Zong & Linlin Hou, 2017. "Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3186-3200, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3186-3200
    DOI: 10.1080/00207721.2017.1367864
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    References listed on IDEAS

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    1. K. Benjelloun & E. K. Boukas & O. L. V. Costa, 2000. "H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 73-95, April.
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    Cited by:

    1. Li, Yankai & Chen, Mou & Li, Tao & Shi, Peng, 2020. "Anti-disturbance reference mode resilient dynamic output feedback control for turbofan systems," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.

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