H(infinity )sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays
SCIE
SCOPUS
- Title
- H(infinity )sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays
- Authors
- Park, JunMin; Park, PooGyeon
- Date Issued
- 2018-11
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/94672
- DOI
- 10.1016/j.jfranklin.2018.08.019
- ISSN
- 0016-0032
- Article Type
- Article
- Citation
- JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 355, no. 16, page. 8005 - 8026, 2018-11
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