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Adaptive dynamic surface full state constraints control for stochastic Markov jump systems based on event-triggered strategy

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  • He, Miao
  • Rong, Taotao
  • Li, Junmin
  • He, Chao

Abstract

This paper aims to investigate the event-triggered adaptive dynamic surface full state constraints control for a class of stochastic nonlinear systems with Markov jumping parameters. Using the backstepping method, we propose two adaptive dynamic surface controllers with average dwell time and the event-triggered strategies simultaneously. The existed assumption of stochastic input-to-state stability (ISS) on the stochastic systems can be avoided by adding a correction terms into the controller to compensate for the measurement error. The method designed in this work can make all signals remain bounded in probability, all the states satisfy the constraints in probability and the tracking error signals eventually converge to the compact set in the sense of mean quartic value (SMQV) for closed-loop stochastic Markov jump nonlinear uncertain system. Furthermore, the designed relative threshold strategy which relies on the control signal reduces the frequency of events triggered. Finally, the validity of put forward method is shown in simulation results.

Suggested Citation

  • He, Miao & Rong, Taotao & Li, Junmin & He, Chao, 2021. "Adaptive dynamic surface full state constraints control for stochastic Markov jump systems based on event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320305191
    DOI: 10.1016/j.amc.2020.125563
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    References listed on IDEAS

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    1. Zhang, Jing & Xia, Jianwei & Sun, Wei & Zhuang, Guangming & Wang, Zhen, 2018. "Finite-time tracking control for stochastic nonlinear systems with full state constraints," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 207-220.
    2. Hongji Ma & Yingmin Jia, 2014. "Input–output finite-time mean square stabilisation of stochastic systems with Markovian jump," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 325-336.
    3. Li, Zhi-Min & Chang, Xiao-Heng & Yu, Lu, 2016. "Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 361-371.
    4. Song, Jia-Sheng & Chang, Xiao-Heng, 2020. "H∞ controller design of networked control systems with a new quantization structure," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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