State and Output Feedback Control of Interval Type-2 Fuzzy Systems With Mismatched Membership Functions

This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and the IT2 state and output feedback controllers do not share the same membership functions. A novel performance index, wh...

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Published inIEEE transactions on fuzzy systems Vol. 23; no. 6; pp. 1943 - 1957
Main Authors Hongyi Li, Xingjian Sun, Ligang Wu, Lam, H. K.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and the IT2 state and output feedback controllers do not share the same membership functions. A novel performance index, which is expressed as an extended dissipativity performance, is introduced to be a generalization of H ∞ , L 2- L ∞ , passive, and dissipativity performances indexes. First, the IT2 Takagi-Sugeno fuzzy model and the controllers are constructed by considering the mismatched membership functions. Second, on the basis of Lyapunov stability theory, the IT2 fuzzy state and output feedback controllers are designed, respectively, to guarantee that the closed-loop system is asymptotically stable with extended dissipativity performance. The existence conditions of the two kinds of controllers are obtained in terms of convex optimization problems, which can be solved by standard software. Finally, simulation results are provided to illustrate the effectiveness of the proposed methods.
AbstractList This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and the IT2 state and output feedback controllers do not share the same membership functions. A novel performance index, which is expressed as an extended dissipativity performance, is introduced to be a generalization of H ∞ , L 2- L ∞ , passive, and dissipativity performances indexes. First, the IT2 Takagi-Sugeno fuzzy model and the controllers are constructed by considering the mismatched membership functions. Second, on the basis of Lyapunov stability theory, the IT2 fuzzy state and output feedback controllers are designed, respectively, to guarantee that the closed-loop system is asymptotically stable with extended dissipativity performance. The existence conditions of the two kinds of controllers are obtained in terms of convex optimization problems, which can be solved by standard software. Finally, simulation results are provided to illustrate the effectiveness of the proposed methods.
This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and the IT2 state and output feedback controllers do not share the same membership functions. A novel performance index, which is expressed as an extended dissipativity performance, is introduced to be a generalization of [Formula Omitted], [Formula Omitted]-[Formula Omitted], passive, and dissipativity performances indexes. First, the IT2 Takagi-Sugeno fuzzy model and the controllers are constructed by considering the mismatched membership functions. Second, on the basis of Lyapunov stability theory, the IT2 fuzzy state and output feedback controllers are designed, respectively, to guarantee that the closed-loop system is asymptotically stable with extended dissipativity performance. The existence conditions of the two kinds of controllers are obtained in terms of convex optimization problems, which can be solved by standard software. Finally, simulation results are provided to illustrate the effectiveness of the proposed methods.
Author Lam, H. K.
Hongyi Li
Xingjian Sun
Ligang Wu
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  surname: Ligang Wu
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Snippet This paper is concerned with the problems of state and output feedback control for interval type-2 (IT2) fuzzy systems with mismatched membership functions....
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SubjectTerms Closed loop systems
Educational institutions
Extended dissipativity
Feedback control systems
Fuzzy control
Fuzzy logic
Fuzzy systems
Interval type-2 fuzzy system
Lyapunov stability theory
Output feedback
Performance analysis
State feedback
Title State and Output Feedback Control of Interval Type-2 Fuzzy Systems With Mismatched Membership Functions
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https://www.proquest.com/docview/1738862437
Volume 23
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