Title
A Multiple-Parameterization Approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents.
Abstract
This paper addresses the local stabilization of constrained nonlinear systems with input saturation described by Takagi-Sugeno fuzzy models with nonlinear consequents. To reduce the design conservativeness, we propose a new delayed multiple-parameterization control approach based on a nonquadratic Lyapunov function with multiple delayed fuzzy summations. Both input saturation and state constraints are explicitly taken into account in the control design procedure. This multiple-parameterization condition is given in terms of linear matrix inequalities. Compared to existing results, the new approach offers a unified and concise control framework to design both non-delayed and delayed multidimensional nonlinear fuzzy controllers. Numerical examples are provided to demonstrate the effectiveness of the proposed multiple-parameterization approach in both reducing the design conservativeness and enlarging the estimation of the domain of attraction.
Year
DOI
Venue
2020
10.1016/j.ins.2019.08.008
Information Sciences
Keywords
Field
DocType
Takagi-Sugeno fuzzy systems,Input saturation,Local stabilization,Delayed control,Nonquadratic Lyapunov functions
Lyapunov function,Nonlinear system,Parametrization,Matrix (mathematics),Control theory,Fuzzy logic,Artificial intelligence,Fuzzy control system,Machine learning,Mathematics
Journal
Volume
ISSN
Citations 
506
0020-0255
4
PageRank 
References 
Authors
0.38
0
4
Name
Order
Citations
PageRank
Pedro Henrique S. Coutinho140.38
Rodrigo Araujo2203.03
anhtu nguyen36110.29
Reinaldo M. Palhares446741.12