Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03467002
Contributor : Mylène Delrue Connect in order to contact the contributor
Submitted on : Monday, December 6, 2021 - 12:17:22 PM
Last modification on : Saturday, April 9, 2022 - 3:43:08 AM

Identifiers

Collections

Citation

Pedro H.S. Coutinho, Rodrigo Araujo, Tran Anh-Tu Nguyen, Reinaldo Martinez Palhares. A Multiple-Parameterization Approach for local stabilization of constrained Takagi-Sugeno fuzzy systems with nonlinear consequents. Information Sciences, Elsevier, 2020, 506, pp.295-307. ⟨10.1016/j.ins.2019.08.008⟩. ⟨hal-03467002⟩

Share

Metrics

Record views

16