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Adaptive Stabilization Control for a Class of Complex Nonlinear Systems Based on T-S Fuzzy Bilinear Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper proposes a stable adaptive fuzzy control scheme for a class of nonlinear systems with multiple inputs.
The multiple inputs T-S fuzzy bilinear model is established to represent the unknown complex systems.
A parallel distributed compensation (PDC) method is utilized to design the fuzzy controller without considering the error due to fuzzy modelling and the sufficient conditions of the closed-loop system stability with respect to decay rate α are derived by linear matrix inequalities (LMIs).
Then the errors caused by fuzzy modelling are considered and the method of adaptive control is used to reduce the effect of the modelling errors, and dynamic performance of the closed-loop system is improved.
By Lyapunov stability criterion, the resulting closed-loop system is proved to be asymptotically stable.
The main contribution is to deal with the differences between the T-S fuzzy bilinear model and the real system; a global asymptotically stable adaptive control scheme is presented for real complex systems.
Finally, illustrative examples are provided to demonstrate the effectiveness of the results proposed in this paper.
American Psychological Association (APA)
Xing, Jinsheng& Shi, Naizheng. 2015. Adaptive Stabilization Control for a Class of Complex Nonlinear Systems Based on T-S Fuzzy Bilinear Model. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074413
Modern Language Association (MLA)
Xing, Jinsheng& Shi, Naizheng. Adaptive Stabilization Control for a Class of Complex Nonlinear Systems Based on T-S Fuzzy Bilinear Model. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074413
American Medical Association (AMA)
Xing, Jinsheng& Shi, Naizheng. Adaptive Stabilization Control for a Class of Complex Nonlinear Systems Based on T-S Fuzzy Bilinear Model. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074413
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074413