InforLorV4, Hal, Checkpoint, bibRecord, 001098

Adaptive observers-based synchronization of a class of lur'e systems under transmission delays

Identifieur interne : 001098 ( Hal/Checkpoint ); précédent : 001097; suivant : 001099

Adaptive observers-based synchronization of a class of lur'e systems under transmission delays

Auteurs : Habib Dimassi [France] ; Antonio Loria [France] ; Safya Belghith [Tunisie]

Source :

RBID : Hal:hal-00831476

Abstract

We propose an adaptive observers-based synchronization approach for a class of chaotic Lur'e systems with slope-restricted nonlinearities and uncertain parameters, under transmission time-delays. The delay is assumed to be bounded and time varying and the uncertain parameters are assumed to be piece-wise constant. Based on the Lyapunov-Krasovskii approach, we show that for sufficiently short time-delays, master-slave synchronization is achieved and therefore, the uncertain parameters may be recovered. Then, the proposed approach is extended to the case of long constant time-delays by proposing a synchronization scheme based on cascade observers. Theoretical results are illustrated via two numerical examples.

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<front><div type="abstract" xml:lang="en">We propose an adaptive observers-based synchronization approach for a class of chaotic Lur'e systems with slope-restricted nonlinearities and uncertain parameters, under transmission time-delays. The delay is assumed to be bounded and time varying and the uncertain parameters are assumed to be piece-wise constant. Based on the Lyapunov-Krasovskii approach, we show that for sufficiently short time-delays, master-slave synchronization is achieved and therefore, the uncertain parameters may be recovered. Then, the proposed approach is extended to the case of long constant time-delays by proposing a synchronization scheme based on cascade observers. Theoretical results are illustrated via two numerical examples.</div>
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<abstract xml:lang="en">We propose an adaptive observers-based synchronization approach for a class of chaotic Lur'e systems with slope-restricted nonlinearities and uncertain parameters, under transmission time-delays. The delay is assumed to be bounded and time varying and the uncertain parameters are assumed to be piece-wise constant. Based on the Lyapunov-Krasovskii approach, we show that for sufficiently short time-delays, master-slave synchronization is achieved and therefore, the uncertain parameters may be recovered. Then, the proposed approach is extended to the case of long constant time-delays by proposing a synchronization scheme based on cascade observers. Theoretical results are illustrated via two numerical examples.</abstract>
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Adaptive observers-based synchronization of a class of lur'e systems under transmission delays

Adaptive observers-based synchronization of a class of lur'e systems under transmission delays

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