Decentralized stabilization of fractional order T-S fuzzy interconnected systems with multiple time delays

Article type: Research Article

Authors: Li, Yuting^* | Li, Junmin

Affiliations: School of Mathematics and Statistics, Xidian University, Xi’an, PR China

Correspondence: [*] Corresponding author. Yuting Li, School of Mathematics and Statistics, Xidian University, Xi’an, PR China. Tel.: +8613772543012; Fax: +8602988208262; E-mail: yutinglee@126.com.

Abstract: This paper investigates the state feedback stabilization problem for the fractional order Takagi-Sugeno fuzzy interconnected systems with multiple time delays. A parallel distributed compensate controller based on fractional order Takagi-Sugeno fuzzy model is designed to asymptotically stabilize the fractional order interconnected systems, and a sufficient condition is given in the format of linear matrix inequalities. Simulation examples are given to validate the effectiveness of the approach.

Keywords: Fractional order interconnected systems, multiple time delays, state feedback control, Takagi-Sugeno(T-S) fuzzy model, fractional order duffing chaotic system

DOI: 10.3233/IFS-151758

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 319-331, 2016