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Model-Following Preview Control for a Class of Linear Descriptor Systems with Actuator Failures

Author

Listed:
  • Chen Jia

    (School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China)

  • Li Li

    (School of Statistics and Mathematics, Hubei University of Economics, Wuhan 430205, China
    Hubei Center for Data and Analysis, Hubei University of Economics, Wuhan 430205, China)

Abstract

This paper considers the model-following preview control problem for a class of continuous-time descriptor systems with actuator failures. Firstly, the model-following problem is transformed into an optimal preview control problem by utilizing restricted equivalent transformations and the construction of augmented systems. After discussing the relationship between the stabilizability and detectability of the augmented system and the corresponding characteristics of the controlled system, the model-following preview controller of the original descriptor system is obtained by integrating on the controller of the augmented system. Finally, an application to electrical circuit system is used for assessment purposes. The simulation results demonstrate the effectiveness of the proposed controller.

Suggested Citation

  • Chen Jia & Li Li, 2024. "Model-Following Preview Control for a Class of Linear Descriptor Systems with Actuator Failures," Mathematics, MDPI, vol. 12(22), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3561-:d:1521160
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    References listed on IDEAS

    as
    1. Yanrong Lu & Xiaomeng Zhang & Zhiwen Wang & Liang Qiao, 2023. "Optimal containment preview control for continuous-time multi-agent systems using internal model principle," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(4), pages 802-821, March.
    2. Jiang Wu & Fucheng Liao & Masayoshi Tomizuka, 2017. "Optimal preview control for a linear continuous-time stochastic control system in finite-time horizon," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 129-137, January.
    3. Luenberger, David G & Arbel, Ami, 1977. "Singular Dynamic Leontief Systems," Econometrica, Econometric Society, vol. 45(4), pages 991-995, May.
    4. Mengjuan Cao & Fucheng Liao, 2015. "Design of an optimal preview controller for linear discrete-time descriptor systems with state delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 932-943, April.
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