H∞ sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays

This paper investigates H-infinity sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays under the aperiodic samplings. First, this paper proposes an improved stability criterion for sampled-state feedback control to synchronize the chaotic Lur'e systems with time delays under aperiodic samplings by constructing a novel Lyapunov-Krasovskii functional. Compared with the literature, the novel Lyapunov-Krasovskii functional utilizes the fragmented state and its state-space model which is defined between the last sampling instant and the present time. Second, this paper introduces an H-infinity performance index for H-infinity sampled-state feedback control of synchronization error systems considering the state-space model of the fragmented state. Based on the proposed Lyapunov-Krasovskii functional and the H-infinity performance index, the stability criterion and the H-infinity control criterion are derived in terms of linear matrix inequalities, respectively. A numerical example shows the effectiveness of the proposed criterion. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.