Title: Fuzzy control for discrete-time nonlinear switched systems with improved average dwell time

Authors: Lei Liu; Yuxin Zhao; Hongyi Li

Addresses: College of Automation, Harbin Engineering University, Harbin, 150001, China ' College of Automation, Harbin Engineering University, Harbin, 150001, China ' College of Engineering, Bohai University, Jinzhou 121013, Liaoning, China

Abstract: This paper investigates the stabilisation problem of discrete-time switched interval type-2 (IT2) fuzzy systems with improved average dwell time (ADT). Firstly, a novel stability condition is obtained with fewer constraints for a class of the switched system under the ADT switching. Secondly, the switched IT2 fuzzy modelling approach is applied to represent the underlying nonlinear discrete system. As the switching instant of controller lag behind the system is unavoidable in practice, a novel delayed IT2 fuzzy controller is designed to guarantee the closed-loop system to be asymptotically stable. Finally, the effectiveness of the proposed control scheme is illustrates on a numerical example.

Keywords: average dwell time; ADT; interval type-2 fuzzy systems; switched systems.

DOI: 10.1504/IJMISSP.2016.085270

International Journal of Machine Intelligence and Sensory Signal Processing, 2016 Vol.1 No.4, pp.321 - 340

Received: 09 Jan 2017
Accepted: 10 Jan 2017
Published online: 19 Jul 2017 *

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