A Multiple-Parameterization Approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents

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 L...

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Bibliographic Details
Published in:Information sciences 2020-01, Vol.506, p.295-307
Main Authors: Coutinho, Pedro H.S., Araújo, Rodrigo F., Nguyen, Anh-Tu, Palhares, Reinaldo M.
Format: Article
Language:English
Subjects:
Automatic
Delayed control
Engineering Sciences
Input saturation
Local stabilization
Nonquadratic Lyapunov functions
Takagi-Sugeno fuzzy systems
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Summary: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.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2019.08.008