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

WANG Shitong, WU Zheng-Guang, WU Zhaojing

系统科学与复杂性(英文) ›› 2023, Vol. 36 ›› Issue (4) : 1463-1479.

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PDF(419 KB)
系统科学与复杂性(英文) ›› 2023, Vol. 36 ›› Issue (4) : 1463-1479. DOI: 10.1007/s11424-023-2157-1

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

    WANG Shitong1, WU Zheng-Guang2, WU Zhaojing3
作者信息 +

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

    WANG Shitong1, WU Zheng-Guang2, WU Zhaojing3
Author information +
文章历史 +

摘要

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.

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.

关键词

Asynchronous control / colored-noise / Markovian jump systems / output regulation control

Key words

Asynchronous control / colored-noise / Markovian jump systems / output regulation control

引用本文

导出引用
WANG Shitong , WU Zheng-Guang , WU Zhaojing. Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise. 系统科学与复杂性(英文), 2023, 36(4): 1463-1479 https://doi.org/10.1007/s11424-023-2157-1
WANG Shitong , WU Zheng-Guang , WU Zhaojing. Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise. Journal of Systems Science and Complexity, 2023, 36(4): 1463-1479 https://doi.org/10.1007/s11424-023-2157-1

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基金

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