Title
On Stabilization Conditions for T–S Systems with Nonlinear Consequent Parts
Abstract
This paper deals with T–S fuzzy model with nonlinear consequent parts that has shown to reduce the number of fuzzy rules and decrease modeling error comparing with conventional T–S with linear consequent parts. To further increase the benefits of using such model, many novelties in analyzing and applying it are introduced here. Canceling the nonlinear part of subsystems by fuzzy feedback linearization, using a novel fuzzy non-quadratic Lyapunov function and new relaxation methods for further reduction of conservativeness and maximizing the region of attractions are all discussed in this paper. Numerical examples illustrate the effectiveness of the proposed method.
Year
DOI
Venue
2019
10.1007/s40815-018-0548-6
International Journal of Fuzzy Systems
Keywords
Field
DocType
Fuzzy control, Takagi–Sugeno model, Nonlinear subsystems, Non-quadratic Lyapunov function
Lyapunov function,Fuzzy model,Nonlinear system,Control theory,Feedback linearization,Relaxation (iterative method),Fuzzy logic,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
21
1
2199-3211
Citations 
PageRank 
References 
2
0.38
14
Authors
4
Name
Order
Citations
PageRank
Hoda Moodi191.19
Mohammad Farrokhi28012.69
Thierry-Marie Guerra327423.91
J. Lauber427522.74