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Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation

Author

Listed:
  • Ma, Yuechao
  • Fu, Lei
  • Jing, Yanhui
  • Zhang, Qingling

Abstract

This paper concerns with the finite-time H∞ control problem for a class of discrete-time switched singular time-delay with actuator saturation. Not only linear matrix inequality conditions for the systems but also average dwell-time of switching signal is given to guarantee regular, causal and finite-time boundedness for the discrete-time switched singular time-delay system. Moreover, sufficient conditions are presented to ensure the H∞ disturbance attenuation level, and the design method of H∞ controller is developed by solving linear matrix inequalities (LMI) optimization problem without any decompositions of system matrices and equivalent transformation. Furthermore, the function in the proof procedure belongs to multiple Lyapunov-like functions whose advantage lies in their flexibility. Finally, numerical examples are employed to verify the effectiveness of the proposed methods and to illustrate the significant improvement on the conservativeness of some reported results in the literature.

Suggested Citation

  • Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    • Handle: RePEc:eee:apmaco:v:261:y:2015:i:c:p:264-283
    DOI: 10.1016/j.amc.2015.03.111
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    References listed on IDEAS

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    1. Iman Zamani & Masoud Shafiee & Asier Ibeas, 2014. "Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 1128-1144, May.
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    Cited by:

    1. Duan, Ruirui & Li, Junmin, 2020. "Finite-time distributed H∞ filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: Non-PDC approach," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Ma, Yuechao & Jia, Xiaorui & Liu, Deyou, 2016. "Robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 213-227.
    3. Yang, Anqing & Ma, Shuping, 2023. "Event-triggered control for switched singular systems with asynchronous switching and state jumps," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    4. Liu, Yangfan & Ma, Yuechao & Wang, Yanning, 2018. "Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 341-357.
    5. Su, Qingyu & Jia, Xiaolong & Liu, Honghai, 2016. "Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 172-180.
    6. Chen, Jian & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2017. "Mixed H∞ and passive control for singular systems with time delay via static output feedback," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 244-253.
    7. Cheng, Jun & Chen, Shiqiang & Liu, Zhijun & Wang, Hailing & Li, Jin, 2016. "Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 55-76.
    8. Wei Guan & Lei Fu & Yuechao Ma, 2019. "Finite-Time Filtering for Discrete-Time Singular Markovian Jump Systems with Time Delay and Input Saturation," Complexity, Hindawi, vol. 2019, pages 1-22, April.
    9. Yue-Chao Ma & Yang-Fan Liu & Hui Chen, 2017. "Reliable finite-time control of uncertain singular nonlinear Markovian jump systems with bounded transition probabilities and time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(11), pages 2249-2261, August.
    10. Lin, Xiangze & Li, Shihua & Zou, Yun, 2017. "Finite-time stabilization of switched linear time-delay systems with saturating actuators," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 66-79.
    11. Zhan, Tao & Ma, Shuping & Chen, Hao, 2019. "Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems," Applied Mathematics and Computation, Elsevier, vol. 344, pages 57-67.

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