An extended approach to controller design of continuous-time Takagi-Sugeno fuzzy model

Article type: Research Article

Authors: Hu, Guolin^a | Liu, Xiaodong^{a; *} | Wang, Likui^b | Li, Hongxing^a

Affiliations: [a] Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, China | [b] School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China

Correspondence: [*] Corresponding author. Xiaodong Liu, Faculty of Electronic Information and Electrical Engineering, Dalia University of Technology, Dalian 116024, China. E-mail: xdliuros@dlut.edu.cn.

Abstract: This paper addresses the problem of designing the controller for a class of nonlinear systems by using the Takagi-Sugeno fuzzy models. Based on generalised fuzzy Lyapunov function and homogeneous polynomial techniques, a new method is proposed to locally stabilize the Takagi-Sugeno fuzzy system. The new method overcomes the drawbacks of the previous results and enlarges the design space. Finally, two examples are given to illustrate the effectiveness of the approach.

Keywords: Takagi-Sugeno fuzzy model, linear matrix inequalities (LMIs), generalised fuzzy Lyapunov function, homogeneous polynomial techniques, homogeneous polynomially non-quadratic control law (HPNQCL)

DOI: 10.3233/JIFS-171266

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 4, pp. 2235-2246, 2018