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Robust (Q,S,R)-γ-Dissipative and H 2 Performances for Switched Systems with Mixed Time Delays

Author

Listed:
  • Ker-Wei Yu

    (Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Chang-Hua Lien

    (Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Hao-Chin Chang

    (Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Cheung-Chieh Ku

    (Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Sundarapandian Vaidyanathan

    (Research and Development Centre, Vel Tech University, Chennai 600 062, India)

  • Cheng-Ruei Yu

    (Ph.D. Program of Maritime Science and Technology, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Hung-Chih Li

    (Ph.D. Program of Maritime Science and Technology, National Kaohsiung University of Science and Technology, Kaohsiung 811, Taiwan)

  • Yi-You Hou

    (Department of Intelligent Commerce, National Kaohsiung University of Science and Technology, Kaohsiung 824, Taiwan)

Abstract

This paper investigates the switching on switching rule and sampling input to guarantee (Q,S,R)- γ -dissipative and H 2 performances for switched systems with mixed time delays. Synchronous switching can be used to overcome the difficulty in implementation of real-time switching for signals and sampling. The design of sampling input under arbitrary switching for a switched system is also considered in this paper. A new proposal for a full matrix formulation approach and inequality are applied to achieve the main results. Finally, some numerical examples are illustrated to show the efficiency of the main contribution.

Suggested Citation

  • Ker-Wei Yu & Chang-Hua Lien & Hao-Chin Chang & Cheung-Chieh Ku & Sundarapandian Vaidyanathan & Cheng-Ruei Yu & Hung-Chih Li & Yi-You Hou, 2023. "Robust (Q,S,R)-γ-Dissipative and H 2 Performances for Switched Systems with Mixed Time Delays," Mathematics, MDPI, vol. 11(7), pages 1-25, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1574-:d:1105716
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    References listed on IDEAS

    as
    1. Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    2. Hamid Karimi, 2013. "Passivity-based output feedback control of Markovian jump systems with discrete and distributed time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(7), pages 1290-1300.
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