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

Ker-Wei Yu, Chang-Hua Lien (), Hao-Chin Chang, Cheung-Chieh Ku, Sundarapandian Vaidyanathan, Cheng-Ruei Yu, Hung-Chih Li and Yi-You Hou
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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

Mathematics, 2023, vol. 11, issue 7, 1-25

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.

Keywords: robust (Q,S,R)-?-dissipative performance; H 2 performance; passivity; discrete and distributed delays; switched system; switching signal; sampled-data control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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