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Input–output finite-time stabilisation of nonlinear stochastic system with missing measurements

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  • Jun Song
  • Yugang Niu
  • Tinggang Jia

Abstract

This paper considers the problem of the input–output finite-time stabilisation for a class of nonlinear stochastic system with state-dependent noise. The phenomenon of the missing measurements may occur when state signals are transmitted via communication networks. An estimating method is proposed to compensate the lost state information. And then, a compensator-based controller is designed to ensure the input–output finite-time stochastic stability (IO-FTSS) of the closed-loop system. Some parameters-dependent sufficient conditions are derived and the corresponding solving approach is given. Finally, numerical simulations are provided to demonstrate the feasibility and effectiveness of the developed IO-FTSS scheme.

Suggested Citation

  • Jun Song & Yugang Niu & Tinggang Jia, 2016. "Input–output finite-time stabilisation of nonlinear stochastic system with missing measurements," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2985-2995, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2985-2995
    DOI: 10.1080/00207721.2015.1053832
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    Cited by:

    1. Yan, Yan & Wu, Libing & Yan, Weijun & Hu, Yuhan & Zhao, Nannan & Chen, Ming, 2022. "Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).

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