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

Title
H(infinity )sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays
Authors
Park, JunMinPark, PooGyeon
POSTECH Authors
Park, PooGyeon
Date Issued
Nov-2018
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
http://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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 PARK, POOGYEON
Dept of Electrical Enginrg
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