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Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault

Author

Listed:
  • Chenglong Zhu

    (School of Mathematics Science, Liaocheng University, Liaocheng 252000, China
    Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China)

  • Li He

    (New Drug Research and Development Co., Ltd., State Key Laboratory of Antibody Research & Development, NCPC, Shijiazhuang 052165, China)

  • Kanjian Zhang

    (Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China)

  • Wei Sun

    (School of Mathematics Science, Liaocheng University, Liaocheng 252000, China)

  • Zengxiang He

    (Key Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, China)

Abstract

In this article, an optimal timing fault tolerant control strategy is addressed for switched stochastic systems with unknown drift fault for each switching point. The proposed controllers in existing optimal timing control schemes are not directly aimed at the switched drift fault system, which affects the optimal control performance. A cost functional with system state information and fault variable is constructed. By solving the optimal switching time criterion, the switched stochastic system can accommodate switching drift fault. The variational technique is presented for the proposed cost function in deriving the gradient formula. Then, the optimal fault tolerant switching time is calculated by combining the Armijo step-size gradient descent algorithm. Finally, the effectiveness of the proposed controller design scheme is proved by the safe trajectory planning for a four wheel drive mobile robot and numerical example.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1880-:d:828354
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    References listed on IDEAS

    as
    1. Quanyu Bai & Wei Zhu, 2022. "Event-Triggered Impulsive Optimal Control for Continuous-Time Dynamic Systems with Input Time-Delay," Mathematics, MDPI, vol. 10(2), pages 1-16, January.
    2. Dan Zhang & Li Yu, 2012. "Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 157-176, April.
    3. Mahmoud Hamouda & Amir Abdel Menaem & Hegazy Rezk & Mohamed N. Ibrahim & László Számel, 2021. "Comparative Evaluation for an Improved Direct Instantaneous Torque Control Strategy of Switched Reluctance Motor Drives for Electric Vehicles," Mathematics, MDPI, vol. 9(4), pages 1-17, February.
    4. Javier Bilbao & Eugenio Bravo & Olatz García & Carolina Rebollar & Concepción Varela, 2022. "Optimising Energy Management in Hybrid Microgrids," Mathematics, MDPI, vol. 10(2), pages 1-24, January.
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    Cited by:

    1. Quanxin Zhu, 2022. "Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering," Mathematics, MDPI, vol. 10(24), pages 1-2, December.
    2. Jiabao Gu & Hui Wang & Wuquan Li & Ben Niu, 2022. "Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
    3. 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.

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