Title: Towards a unified stability analysis of continuous-time T-S model-based fuzzy control systems

Authors: Pengwei Li; Weicun Zhang

Addresses: Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 10083, China; School of Electrical and Information Engineering, Beihua University, Jilin 132021, China ' School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 10083, China

Abstract: This paper is intended to develop a unified stability analysis framework for a general closed-loop continuous-time T-S model-based fuzzy control (TSFC) system, which consists of the parallel distributed compensation (PDC) controller and the real plant instead of the T-S fuzzy model. Plant to be controlled may be linear time-invariant, linear parameter jump, or nonlinear time-varying systems. As an alternative to Lyapunov function-based approach, virtual equivalent system (VES) approach is introduced. The stability of a TSFC system is identical to that of the corresponding VES.

Keywords: T-S model-based fuzzy control; TSFC; stability; virtual equivalent system; VES.

DOI: 10.1504/IJMIC.2019.097988

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.2, pp.113 - 123

Received: 11 Sep 2017
Accepted: 30 Dec 2017
Published online: 26 Feb 2019 *

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