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Finite-Time Bounded Tracking Control for a Class of Neutral Systems

Author

Listed:
  • Jiang Wu

    (School of Mathematics and Physics, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China)

  • Yujie Xu

    (Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, No. 97 Beisihuan East Road, Chaoyang District, Beijing 100101, China
    Institute of Mathematics and Physics, Beijing Union University, No. 97 Beisihuan East Road, Chaoyang District, Beijing 100101, China)

  • Hao Xie

    (School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China)

  • Yao Zou

    (School of Automation and Electrical Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China
    School of Intelligence Science and Technology, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China)

Abstract

In this paper, we investigate finite-time bounded (FTB) tracking control for a class of neutral systems. Firstly, the dynamic equation of the tracking error signal is given based on the original neutral system. Then, we combine it with the equations of the state vector to construct an error system, where the reference signal and the disturbance signal are fused in a new vector. Next, about the error system, we study the input–output finite-time stability problem of the closed-loop system by utilizing the Lyapunov–Krasovskii functional. We also give a finite-time stability condition in the form of linear matrix inequalities (LMIs). Furthermore, the delay-dependent and delay-independent finite-time bounded tracking controllers are designed separately for the original system. Finally, a realistic example is given to show the effectiveness of the controller design method in the paper.

Suggested Citation

  • Jiang Wu & Yujie Xu & Hao Xie & Yao Zou, 2023. "Finite-Time Bounded Tracking Control for a Class of Neutral Systems," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1199-:d:1083990
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    References listed on IDEAS

    as
    1. Xu, Jiahong & Wang, Lijie & Liu, Yang & Sun, Jize & Pan, Yingnan, 2022. "Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. 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.
    3. Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Hamid Ghadiri & Hamed Khodadadi & Saleh Mobayen & Jihad H. Asad & Thaned Rojsiraphisal & Arthur Chang, 2021. "Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays," Mathematics, MDPI, vol. 9(19), pages 1-20, October.
    5. Xiaoxing Chen & Manfeng Hu, 2017. "Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems," Abstract and Applied Analysis, Hindawi, vol. 2017, pages 1-12, December.
    Full references (including those not matched with items on IDEAS)

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