Title: Fuzzy static output feedback robust controller design 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: This paper investigates a static output feedback (SOF) robust control problem for discrete-time fuzzy singularly perturbed systems (FSPSs). Based on a matrix spectral norm approach, a new ε-dependent SOF controller is designed via linear matrix inequalities (LMIs), which guarantees that the resulting closed-loop system is asymptotically stable. In contrast to the existing results, the proposed method can deal with the systems with unmeasurable state variables and conventional non-linear systems. But the upper bound of ε is smaller than existing results. A simulation example illustrates the reduced conservatism of our results.

Keywords: fuzzy singularly perturbed systems; discrete-time systems; linear matrix inequalities; LMIs; robust control; feedback control; controller design; fuzzy control; nonlinear systems; simulation.

DOI: 10.1504/IJMIC.2014.060730

International Journal of Modelling, Identification and Control, 2014 Vol.21 No.3, pp.264 - 269

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 27 Apr 2014 *

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