A Generalized Reciprocally Convex Inequality on Stability and Stabilization for T–S Fuzzy Systems With Time-Varying Delay
SCIE
SCOPUS
- Title
- A Generalized Reciprocally Convex Inequality on Stability and Stabilization for T–S Fuzzy Systems With Time-Varying Delay
- Authors
- Wang, Yibo; Hua, Changchun; PARK, POOGYEON
- Date Issued
- 2023-03
- Publisher
- Institute of Electrical and Electronics Engineers
- Abstract
- This article investigates the stability and stabilization issues of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay via a generalized reciprocally convex inequality (GRCI). The enhanced stability criteria with less conservatism are achieved by employing a novel GRCI and establishing an asymmetric Lyapunov-Krasovskii (L-K). The proposed reciprocally convex method encompasses some previous methods as exceptional examples by introducing a matrix-valued polynomial. Moreover, an asymmetric L-K functional with delay-product terms is proposed for the stability of the T-S fuzzy systems. Then, a stabilization method is produced based on the parallel distributed compensation. Finally, case studies are carried out to indicate the effectiveness and advantages of the stability and stabilization criteria. © 1993-2012 IEEE.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/117011
- DOI
- 10.1109/TFUZZ.2022.3187180
- ISSN
- 1063-6706
- Article Type
- Article
- Citation
- IEEE Transactions on Fuzzy Systems, vol. 31, no. 3, page. 722 - 733, 2023-03
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