Title: Delay-dependent synchronisation for singular Lur'e systems using time delay feedback control

Authors: Xiaofu Ji; Ceng Zu; Hongye Su

Addresses: School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China ' School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China ' National Key Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou, 310027, China

Abstract: This paper is concerned with the problem of designing a time delay output feedback controller for the master-slave synchronisation of singular Lur'e systems. Based on the generalised Lyapunov-Krasovskii functional theory, a new delay-dependent synchronisation criterion is derived by dividing the time delay into two intervals and designing different energy functions in each interval. The controller design algorithm is also given in terms of non-linear matrix inequality. Two computational trackable algorithms, that is, linear matrix inequality algorithm and non-linear optimisation algorithm, are given respectively to solve this non-linear matrix inequality. A numerical example is used to illustrate the effectiveness of the design method.

Keywords: singular Lur'e systems; time delay synchronisation; nonlinear optimisation; linear matrix inequality; LMI; feedback control; controller design.

DOI: 10.1504/IJMIC.2013.054316

International Journal of Modelling, Identification and Control, 2013 Vol.19 No.2, pp.125 - 133

Published online: 27 Sep 2014 *

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