Delay-dependent synchronisation for singular Lur'e systems using time delay feedback control
by Xiaofu Ji; Ceng Zu; Hongye Su
International Journal of Modelling, Identification and Control (IJMIC), Vol. 19, No. 2, 2013

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.

Online publication date: Sat, 27-Sep-2014

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