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Article type: Research Article
Authors: Wang, Likuia; * | Peng, Jialia | Liu, Xiaodongb | Zhang, Huaguangc
Affiliations: [a] School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China | [b] Research Center of Information and Control, Dalian University of Technology, Dalian, China | [c] School of Information Science and Engineering, Northeastern University, Shenyang, China
Correspondence: [*] Correspondence to: Likui Wang, School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, 330063, China. Tel.: +86 791 83863755; Fax: +86 791 83863752; E-mail: wlk0228@163.com.
Abstract: This paper is devoted to further study the stabilization of nonlinear systems presented as continuous-time Takagi-Sugeno fuzzy model. The contributions are as follows: (1) The stabilization conditions can be obtained by a new method which overcomes the drawbacks of the previous results; (2) A larger stabilization region can be found by solving an optimization problem. Two illustrative examples are given to show the effectiveness of our contributions.
Keywords: Linear matrix inequalities (LMIs), Lyapunov function, nonlinear systems, Takagi_Sugeno’s fuzzy model, non-parallel distributed compensation law, local stabilization
DOI: 10.3233/IFS-151594
Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 283-292, 2015
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