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Composite Anti-Disturbance Control of Hidden Semi-Markov Jump Systems via Disturbance Observer

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Abstract

This paper focuses on the disturbance suppression issue of hidden semi-Markov jump systems leveraging composite control. The system consists of a semi-Markov layer and an observed mode sequence layer, and it is subject to a matched disturbance generated by an exogenous system and a mismatched disturbance that is norm bounded. The proposal is to design a composite controller based on a disturbance observer to counteract and attenuate the disturbances effectively. By constructing a special Lyapunov function comparison point, the exponential stability is analyzed with the stability criterion in the form of linear matrix inequality is established. Two simulation examples are provided to demonstrate the practical merits of the composite controller relative to the single H∞ control.

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Authors and Affiliations

  1. National Key Lab of Autonomous Intelligent Unmanned Systems, School of Automation, Beijing Institute of Technology, Beijing, 100081, China

    Yunzhe Men & Jian Sun

  2. Beijing Institute of Technology Chongqing Innovation Center, Chongqing, 401120, China

    Yunzhe Men & Jian Sun

Authors
  1. Yunzhe Men
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  2. Jian Sun
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Corresponding author

Correspondence to Jian Sun.

Ethics declarations

SUN Jian is an editorial board member for Journal of Systems Science & Complexity and was not involved in the editorial review or the decision to publish this article. All authors declare that there are no competing interests.

Additional information

This research was supported by the National Natural Science Foundation of China under Grants Nos. 62173034, 61925303, and 62088101.

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Men, Y., Sun, J. Composite Anti-Disturbance Control of Hidden Semi-Markov Jump Systems via Disturbance Observer. J Syst Sci Complex 36, 2255–2273 (2023). https://doi.org/10.1007/s11424-023-2407-2

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  • DOI: https://doi.org/10.1007/s11424-023-2407-2

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