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Practical tracking of MIMO uncertain stochastic systems driven by colored noises via active disturbance rejection control

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Abstract

This study addresses the practical tracking problem for a class of multi-input multi-output (MIMO) uncertain stochastic systems driven by colored noises via the active disturbance rejection control approach. The extended state observer is designed to estimate in real time the unmeasurable states and the stochastic total disturbance of each subsystem, including unknown coupling system dynamics between subsystems, colored noises, and uncertainty caused by partly unknown control parameters. Active disturbance rejection controllers based on the timely estimation of the extended state observer and compensation are then designed, guaranteeing the mean square practical convergence of the tracking errors. Some numerical simulations are performed to validate the effectiveness of the proposed control strategy.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11801077, 61903087, 11771151, 62073144, 61733008), Natural Science Foundation of Guangdong Province (Grant Nos. 2018A030310357, 2018A1660005), and Project of Department of Education of Guangdong Province (Grant Nos. 2019KTSCX193, 2019KZDXM037).

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Authors and Affiliations

  1. School of Mathematics and Big Data, Foshan University, Foshan, 528000, China

    Chunwan Lv, Zhengyong Ouyang & Zehao Wu

  2. Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, China

    Feiqi Deng

  3. Department of Mathematics, Southern Illinois University, Carbondale, IL, 62901, USA

    Mingqing Xiao

Authors
  1. Chunwan Lv
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  2. Zhengyong Ouyang
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  3. Zehao Wu
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  4. Feiqi Deng
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  5. Mingqing Xiao
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Correspondence to Zehao Wu.

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Lv, C., Ouyang, Z., Wu, Z. et al. Practical tracking of MIMO uncertain stochastic systems driven by colored noises via active disturbance rejection control. Sci. China Inf. Sci. 65, 162208 (2022). https://doi.org/10.1007/s11432-020-3146-y

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  • DOI: https://doi.org/10.1007/s11432-020-3146-y

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