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Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise

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Abstract

The output regulation control problem for the Markovian jump systems with colored-noise is proposed in this paper. Since the modes mismatch problem often exists in the Markovian switching system, the authors design a modes asynchronous controller with an internal model form, which can not only deal with external disturbance, but also reduce the influence of stochastic noise on the system, such that the mean square of the regulation error can be made arbitrarily small by turning the designed parameters. Meanwhile, a criterion of the m-th moment noise-to-state exponential stability is presented for continuous-time Markovian jump systems under the asynchronous control.

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Authors and Affiliations

  1. The Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, 310027, China

    Shitong Wang

  2. The Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen, 518055, China

    Zheng-Guang Wu

  3. The School of Mathematics and Informational Science, Yantai University, Yantai, 264005, China

    Zhaojing Wu

Authors
  1. Shitong Wang
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  2. Zheng-Guang Wu
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  3. Zhaojing Wu
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Corresponding author

Correspondence to Zheng-Guang Wu.

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The authors declare no conflict of interest.

Additional information

This work was partially supported by the National Natural Science Foundation of China under Grant No. U1966202.

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Wang, S., Wu, ZG. & Wu, Z. Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise. J Syst Sci Complex 36, 1463–1479 (2023). https://doi.org/10.1007/s11424-023-2157-1

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  • DOI: https://doi.org/10.1007/s11424-023-2157-1

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