Robust (Q,S,R)-γ-Dissipative and H2 Performances for Switched Systems with Mixed Time Delays

This paper investigates the switching on switching rule and sampling input to guarantee (Q,S,R)-γ-dissipative and H2 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 samplin...

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Published inMathematics (Basel) Vol. 11; no. 7; p. 1574
Main Authors Yu, Ker-Wei, Lien, Chang-Hua, Chang, Hao-Chin, Ku, Cheung-Chieh, Vaidyanathan, Sundarapandian, Yu, Cheng-Ruei, Li, Hung-Chih, Hou, Yi-You
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2023
Subjects
discrete and distributed delays
Dissipation
H2 performance
Inequality
Mathematics
passivity
robust (Q,S,R)-γ-dissipative performance
Robustness (mathematics)
Sampling
switched system
Switching
switching signal
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Summary:This paper investigates the switching on switching rule and sampling input to guarantee (Q,S,R)-γ-dissipative and H2 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11071574