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Finite-time rate anti-bump switching control for switched systems

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  • Han, Yunrui
  • Zhao, Ying
  • Wang, Peng

Abstract

The paper centers on the investigating the FT (finite-time) rate anti-bump switching control problem for switched systems. The aim is to propose a switching control scheme to alleviate the undesirable big jumps in the system rate at switching points while achieving the disturbance restrain in FT. An improved definition of the rate anti-bump switching property is presented, measuring the alleviation level on the rate bumps just at switching points. A condition is captured to drive the rate anti-bump switching property and the disturbance restrain property. A switching control technique is developed by constructing a switching law combined with a switching controller to force that the FT rate anti-bump switching control issue is solvable. A verification example is served to display the reasonability of the developed theory.

Suggested Citation

  • Han, Yunrui & Zhao, Ying & Wang, Peng, 2021. "Finite-time rate anti-bump switching control for switched systems," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s009630032100134x
    DOI: 10.1016/j.amc.2021.126086
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    References listed on IDEAS

    as
    1. Ying Zhao & Jun Zhao, 2018. "L2 bumpless transfer control for switched linear systems with stability," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(12), pages 2644-2657, September.
    2. Lin, Xiangze & Zhang, Wanli & Huang, Shuaiting & Zheng, Enlai, 2020. "Finite-time stabilization of input-delay switched systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Huo, Xin & Ma, Li & Zhao, Xudong & Zong, Guangdeng, 2020. "Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. 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.
    5. Li, Jian & Pan, Kunpeng & Su, Qingyu, 2019. "Sensor fault detection and estimation for switched power electronics systems based on sliding mode observer," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 282-294.
    6. Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
    7. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).
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    Cited by:

    1. Nien-Tsu Hu, 2023. "Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H ∞ Linear Matrix Inequality," Mathematics, MDPI, vol. 11(11), pages 1-22, May.

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