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Adaptive TD control of full-state-constrained nonlinear stochastic switched systems

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  • Liu, Yanli
  • Wang, Runzhi
  • Hao, Li-Ying

Abstract

Without the need of constructing piecewise Barrier Lyapunov functions (BLFs), an innovative low-computation adaptive control strategy is developed to unfasten the asymmetric full state constraints for nonlinear stochastic switched systems by incorporating a series of new-style coordinate transformations into the adaptive backstepping design procedure. Via the incorporation of new-style coordinate transformations, the constrained tracking control can be carried out directly without the transformation from constrained systems to new systems. Then, to tackle the “differential explosion” problem caused by repeated derivative of virtual controllers, an innovative tracking differentiator (TD) technology is introduced into each step of design process to improve the tracking accuracy. Furthermore, the resulting closed-loop system proves to be stable, meanwhile, all signals are bounded in probability. Simulations with comparisons through Norrbin nonlinear systems is made to confirm the validity.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002193
    DOI: 10.1016/j.amc.2022.127165
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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.
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    3. Li, Junmin & Yue, Hongyun, 2015. "Adaptive fuzzy tracking control for stochastic nonlinear systems with unknown time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 514-528.
    4. Xiangyun Lin & Weihai Zhang & Bor-Sen Chen, 2018. "Robust Tracking Control of Stochastic T-S Fuzzy Systems with Poisson Jumps," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-14, October.
    5. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    6. 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).
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    Cited by:

    1. 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).

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