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Output Tracking Control of Random Nonlinear Time-Varying Systems

Author

Listed:
  • Ruitao Wang

    (School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China)

  • Hui Wang

    (School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China)

  • Wuquan Li

    (School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China)

  • Ben Niu

    (School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China)

Abstract

This paper is concerned with the output tracking control problem for random nonlinear systems with time-varying powers. A distinct feature of this paper is that we consider time-varying powers and the second-order moment process simultaneously, which is more practical in real applications than the existing results where only one factor is considered. We propose a new design scheme, which ensures that the fourth moment of the tracking error can be adjusted to be arbitrarily small and all the states of the closed-loop system are bounded in probability. Finally, a numerical simulation is given to demonstrate the feasibility of the control idea.

Suggested Citation

  • Ruitao Wang & Hui Wang & Wuquan Li & Ben Niu, 2022. "Output Tracking Control of Random Nonlinear Time-Varying Systems," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2524-:d:867098
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    References listed on IDEAS

    as
    1. Haifeng Huang & Mohammadamin Shirkhani & Jafar Tavoosi & Omar Mahmoud, 2022. "A New Intelligent Dynamic Control Method for a Class of Stochastic Nonlinear Systems," Mathematics, MDPI, vol. 10(9), pages 1-15, April.
    2. Chenglong Zhu & Li He & Kanjian Zhang & Wei Sun & Zengxiang He, 2022. "Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault," Mathematics, MDPI, vol. 10(11), pages 1-16, May.
    3. Liu, Ji-Zhen & Yan, Shu & Zeng, De-Liang & Hu, Yong & Lv, You, 2015. "A dynamic model used for controller design of a coal fired once-through boiler-turbine unit," Energy, Elsevier, vol. 93(P2), pages 2069-2078.
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