Article type: Research Article

Authors: Zheng, Qunxian^* | Zhang, Hongbin

Affiliations: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China

Correspondence: [*] Corresponding author. Qunxian Zheng, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, P.R. China. Tel.: +86 15388210726; Fax: +86 02861830238; E-mail: [email protected].

Abstract: The problem of state feedback control for a class of continuous-time switched nonlinear systems is investigated in this paper. By using the Takagi-Sugeno (T-S) fuzzy model to represent each subsystem of the switched nonlinear systems, the switched nonlinear systems are modeled into the switched T-S fuzzy systems. Different from existing studies in the literature, by proposing a novel performance index which can be viewed as extended dissipativity, the weighted H∞, L2 - L∞, passive and dissipative control problems for continuous-time switched nonlinear systems are studied in a unified framework. Some weighted matrices are included in the new performance index. Through adjusting the values of these weighted matrices, the new performance index will reduce to the weighted H∞, L2 - L∞, passive and dissipative performance index for the switched systems. By using the multiple Lyapunov functions (MLFs) approach and the average dwell time (ADT) technique, the state feedback controllers are designed to ensure the closed-loop switched T-S fuzzy system to be asymptotically stable and satisfy the novel performance index. Finally, a numerical example is provided to illustrate the applicability of the obtained results.

Keywords: Extended dissipativity, switched nonlinear systems, Takagi-Sugeno (T-S) fuzzy model, multiple Lyapunov functions (MLFs), average dwell time (ADT)

DOI: 10.3233/JIFS-16568

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 1147-1156, 2017