Affiliations: [a] Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, P.R. China | [b] Department of Informatics, King’s College London, London, UK
| [c] School of Information Science and Engineering, Harbin Institute of Technology at Weihai, Weihai, P.R. China
Correspondence:
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Corresponding author. Hongwei Xia, Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. China and Department of Informatics, King’s College London, London, WC2R 2LS, UK. Fax: +86 451 86402352; E-mail: xiahongwei@hit.edu.cn.
Abstract: This paper concerns the issue of stability and stabilization analysis for a class of nonlinear systems with time-delay, which is modeled as Takagi-Sugeno fuzzy system. First, in terms of Lyapunov stability theory, one novel stability criterion is proposed, as the membership functions is included in, the proposed criterion is less conservative. Next, by introducing the newly developed imperfect premise matching fuzzy controller design approach, membership functions dependent and membership function independent stabilization criteria are presented respectively, as the imperfect premise matching method does not require the fuzzy controller to share the same premise membership functions and the same number of fuzzy rules as the fuzzy model, greater design flexibility can be achieved. Finally, several numerical examples are provided to illustrate the feasibility and superiority of the proposed approach.
