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Extended dissipative analysis of affine transformed IT2 fuzzy control systems with time delay and disturbances.
- Source :
-
Journal of the Franklin Institute . Oct2023, Vol. 360 Issue 15, p10917-10941. 25p. - Publication Year :
- 2023
-
Abstract
- This paper focuses on the problem of stability and stabilization for interval type-2 (IT2) fuzzy systems with time-varying delays and external disturbances using the extended dissipative theory. In particular, our approach is to develop a new type of IT2 fuzzy controller that uses affine parameter-based weighting variables. Based on appropriate augmented Lyapunov-Krasovskii functionals and recently developed integral inequalities, some less conservative sufficient conditions are derived in the existence of the zeros equations. Specifically, the required conditions for co-design of affine matched membership functions-based IT2 fuzzy control law are provided such that the generalized performance index, the L 2 − L ∞ , H ∞ , passivity and (Q , S , R) − γ -dissipative problems are investigated. Finally, four examples are represented to verify the advantages of the developed method by comparing it with some existing results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 360
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 172428199
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2023.08.035