Volume 9, Issue 1 (Journal of Control, V.9, N.1 Spring 2015)
JoC 2015, 9(1): 25-34 |
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Khani A, Ghaemi S, Badamchizadeh M. Stability Analysis and Controller Design for Interval Type-2 T-S Fuzzy Systems under Non-parallel Distributed Compensation and Fuzzy Lyapunov Function Approach. JoC 2015; 9 (1) :25-34
URL: http://joc.kntu.ac.ir/article-1-215-en.html
URL: http://joc.kntu.ac.ir/article-1-215-en.html
1- University of Tabriz
Abstract: (11280 Views)
In this paper, we investigate the design method for interval type-2 (IT2) fuzzy controller for nonlinear systems along with uncertainty parameters. In order to analyze the stability and synthesis the control methods conveniently, an IT2 T–S fuzzy model is applied through representing the dynamic of nonlinear systems. Uncertainty parameters are captured by IT2 membership function characterized by the lower and upper membership functions. In this paper, for IT2 fuzzy controller, the membership functions and number of rules can be freely chosen different from the IT2 T–S fuzzy model. This method is known Non- Parallel Distributed Compensation. To reduce the conservativeness of stability analysis, a fuzzy Lyapunov function candidate is applied. The stability conditions in term of linear matrix inequalities (LMI) are obtained.
Keywords: Interval type-2 T-S fuzzy model, Stability analysis, Fuzzy Lyapunov function, Linear matrix inequalities (LMI)
Type of Article: Research paper |
Subject:
Special
Received: 2015/03/2 | Accepted: 2015/04/21 | Published: 2015/04/21
Received: 2015/03/2 | Accepted: 2015/04/21 | Published: 2015/04/21
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