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Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation

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  • Huang, Jun
  • Yang, Lin
  • Trinh, Hieu

Abstract

This article presents a saturation controller design method for a type of nonlinear time-delay systems. Different from the current works, the nonlinear systems considered herein satisfy an incremental quadratic constraint, which is a more general nonlinearity. Firstly, for the constraint in the actuator, the convex set theory is employed to transform the saturated feedback law into a parameterized linear convex hull set. Next, the convex hull Lyapunov function is constructed to obtain sufficient conditions for exponential stability of the closed-loop system. In addition, by solving an optimization problem, the maximal estimation of domain of attraction is also determined. Finally, numerical examples are provided to verify the proposed method.

Suggested Citation

  • Huang, Jun & Yang, Lin & Trinh, Hieu, 2021. "Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    • Handle: RePEc:eee:apmaco:v:405:y:2021:i:c:s009630032100360x
    DOI: 10.1016/j.amc.2021.126271
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    References listed on IDEAS

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    1. Lin Yang & Jun Huang & Min Zhang & Ming Yang, 2020. "Observer for differential inclusion systems with incremental quadratic constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(15), pages 2999-3012, November.
    2. Fu, Lei & Ma, Yuechao, 2016. "Passive control for singular time-delay system with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 181-193.
    3. Tan, Li & Yuan, Chenggui, 2018. "Strong convergence of a tamed theta scheme for NSDDEs with one-sided Lipschitz drift," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 607-623.
    4. Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.
    5. Qi, Wenhai & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 535-546.
    6. Che, Haochi & Huang, Jun & Zhao, Xudong & Ma, Xiang & Xu, Ning, 2020. "Functional interval observer for discrete-time systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 383(C).
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    Cited by:

    1. Yueyuan Zhang & Yong Qin & Jun Huang & Lin Yang & Tianjiang Zheng & Qingyuan Li, 2023. "Regional Consensus Control for Multi-Agent Systems with Actuator Saturation," Mathematics, MDPI, vol. 11(4), pages 1-13, February.

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