Title: ε-dependent fuzzy state feedback stabilisation for discrete-time fuzzy singularly perturbed systems

Authors: Jinxiang Chen

Addresses: State Key Laboratory of Hybrid Process Industry Automation Systems and Equipment Technology, Automation Research and Design Institute of Metallurgical Industry, China Iron and Steel Research Institute Group, Beijing, 100081, China

Abstract: A fuzzy state feedback stabilisation approach for standard discrete-time fuzzy singularly perturbed systems (SDTFSPSs) is presented. By using a Lyapunov function and linear matrix inequalities (LMIs) method, a new ε-dependent fuzzy state feedback controller (FSFC) is designed, which guarantees that the resulting closed-loop system is asymptotically stable. The proposed method can be applied to design controller with high performance for non-linear multiple time-scales systems (NMTSSs) because NMTSSs can be described by standard discrete-time fuzzy singularly perturbed model (SDTFSPM). Two examples are provided to illustrate the effectiveness of the presented approach.

Keywords: fuzzy singularly perturbed systems; discrete-time systems; linear matrix inequalities; LMIs; state feedback control; Lyapunov function; fuzzy control; controller design.

DOI: 10.1504/IJMIC.2014.063872

International Journal of Modelling, Identification and Control, 2014 Vol.22 No.1, pp.13 - 19

Published online: 24 Jul 2014 *

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