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Adaptive tracking control for a class of stochastic nonlinear systems with full-state constraints and dead-zone

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  • Peng, Yanru
  • Xu, Shengyuan

Abstract

This paper seeks to address the problem of state-feedback tracking control for a class of stochastic systems whose states are constrained and input is perturbed by dead-zone. A tan-type barrier Lyapunov function (BLF) and a finite-time adaptive law are proposed such that all states of the system are constrained in the defined bounded compact sets. Based on stochastic Lyapunov theorem, an adaptive state-feedback tracking controller is designed to ensure that the considered stochastic system is semiglobally finite-time stable in probability (SGFSP) and the tracking error signal is bounded. Different from the existing control strategies for stochastic systems, the form of BLF can be used for asymmetric constraints without changing the controller, so the analysis of symmetric or asymmetric full-state constraints is unified. Finally, illustrative simulations are provided to verify the effectiveness of the proposed control strategy.

Suggested Citation

  • Peng, Yanru & Xu, Shengyuan, 2023. "Adaptive tracking control for a class of stochastic nonlinear systems with full-state constraints and dead-zone," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    • Handle: RePEc:eee:apmaco:v:452:y:2023:i:c:s0096300323002114
    DOI: 10.1016/j.amc.2023.128042
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    References listed on IDEAS

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    1. Zhao, Shiyi & Pan, Yingnan & Du, Peihao & Liang, Hongjing, 2020. "Adaptive control for non-affine nonlinear systems with input saturation and output dead zone," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Guo, Xiyue & Liang, Hongjing & Pan, Yingnan, 2020. "Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    3. Zhibao Song & Ping Li, 2021. "Fixed-time stabilisation for switched stochastic nonlinear systems with asymmetric output constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(5), pages 990-1002, April.
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