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Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements

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  • Jiang, Yan
  • Zhai, Junyong

Abstract

This paper focuses on the stabilization problem of sector-bounded stochastic nonlinear systems, in which the measured output can be only intermittently available. An intermittent observer is constructed to estimate the unmeasurable states. By employing a piecewise time-dependent Lyapunov function method, mean square exponential stability and almost sure exponential stability criteria are established in terms of linear matrix inequalities (LMIs). It shows that the almost sure stability criterion is less conservative than the mean square stability criterion. With the help of the singular value decomposition technique, the controller and observer gains can be achieved by solving a set of LMIs. Finally, two numerical examples are provided to illustrate the validity of the proposed scheme.

Suggested Citation

  • Jiang, Yan & Zhai, Junyong, 2019. "Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 740-752.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:740-752
    DOI: 10.1016/j.amc.2018.10.033
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    References listed on IDEAS

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    4. Wang, Qingzhi & He, Yong & Tan, Guanzheng & Wu, Min, 2017. "Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 438-447.
    5. You, Surong & Mao, Wei & Mao, Xuerong & Hu, Liangjian, 2015. "Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 73-83.
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    Cited by:

    1. Zhang, Tu & Li, Liwei & Shen, Mouquan, 2021. "Interval observer-based finite-time control for linear parameter-varying systems," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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