Abstract
This paper investigates H∞ 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∞ performance index for H∞ 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∞ performance index, the stability criterion and the H∞ control criterion are derived in terms of linear matrix inequalities, respectively. A numerical example shows the effectiveness of the proposed criterion.
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