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Adaptive tracking control for constrained nonlinear nonstrict-feedback switched stochastic systems with unknown control directions

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  • Liu, Yanli
  • Hao, Li-Ying

Abstract

This brief proposes a novel tracking control strategy to cope with the asymmetric state constraints for nonstrict-feedback and nonlinear switched stochastic systems with unknown control directions. Firstly, without requiring piecewise Barrier Lyapunov functions (BLFs), the asymmetric constraint restrictions are unfastened well in the recursive idea according to a series of new-style coordinate transformations. Then, a novel error compensation mechanism based on the state constraint conditions is incorporated into the tracking differentiator (TD) technology to tackle the “differential explosion” problem in the backstepping design, and a low-cost adaptive control strategy under single adaptive law is built to simplify the computation, meanwhile, the control objective is achieved. Followed by the rigorous theoretical proof, the applicability is presented by a practical example.

Suggested Citation

  • Liu, Yanli & Hao, Li-Ying, 2024. "Adaptive tracking control for constrained nonlinear nonstrict-feedback switched stochastic systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    • Handle: RePEc:eee:apmaco:v:473:y:2024:i:c:s0096300324001383
    DOI: 10.1016/j.amc.2024.128666
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    References listed on IDEAS

    as
    1. Liu, Yanli & Wang, Runzhi & Hao, Li-Ying, 2022. "Adaptive TD control of full-state-constrained nonlinear stochastic switched systems," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Wu, Jing & Sun, Wei & Su, Shun-Feng & Xia, Jianwei, 2022. "Neural-based adaptive control for nonlinear systems with quantized input and the output constraint," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    3. Xu, Ke & Wang, Huanqing & Liu, Peter Xiaoping, 2023. "Adaptive fuzzy finite-time tracking control of nonlinear systems with unmodeled dynamics," Applied Mathematics and Computation, Elsevier, vol. 450(C).
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