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Observer-Based \(H_\infty \) Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

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Abstract

The paper is concerned with the observer-based \(H_\infty \) sliding mode controller design for a class of uncertain stochastic singular time-delay systems subjected to input nonlinearity. Using the sliding mode control, a robust law is established to guarantee the reachability of the sliding surface in a finite time interval, and the sufficient condition for asymptotic stability of the error system and sliding mode dynamics with disturbance attenuation level is presented in terms of linear matrix inequalities. Finally, an example illustrates the proposed method.

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Acknowledgments

The authors are thankful to the editors and the referees for their valuable comments. This research is supported by the National Natural Science Foundations of China (61473097).

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, People’s Republic of China

    Yonggui Kao

  2. College of Information Science and Engineering, Ocean University of China, Qingdao, 266071, People’s Republic of China

    Jing Xie

  3. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150001, Heilongjiang Province, People’s Republic of China

    Changhong Wang

  4. Department of Engineering, Faculty of Technology and Science, University of Agder, 4898, Grimstad, Norway

    Hamid Reza Karimi

Authors
  1. Yonggui Kao
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  2. Jing Xie
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  3. Changhong Wang
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  4. Hamid Reza Karimi
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Correspondence to Hamid Reza Karimi.

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Kao, Y., Xie, J., Wang, C. et al. Observer-Based \(H_\infty \) Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems. Circuits Syst Signal Process 35, 63–77 (2016). https://doi.org/10.1007/s00034-015-0049-x

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  • DOI: https://doi.org/10.1007/s00034-015-0049-x

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