Adaptive delay-dependent synchronization of nonlinear time delay systems

Muhammad Awais Rafique; Muhammad Siddque; Muhammad Rehan

doi:10.1109/IBCAST.2015.7058497

Adaptive delay-dependent synchronization of nonlinear time delay systems

Muhammad Awais Rafique, Muhammad Siddque, Muhammad Rehan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This document explores the synchronization problem for two nonlinear time-delay chaotic master-slave systems having unidentified parameters. The state dynamics of the slave system are also corrupted by the disturbance. An adaptive controller is proposed for synchronization of the two systems and the adaptation laws are derived for the estimation of unknown parameters. A delay-dependent condition in the form of LMI is derived so that the controller can be constructed. Lyapunov-Krasovskii functional is used to verify the stability of the master-slave system with proposed controller and the L₂ gain from disturbance to the synchronization error is proved to be bounded. The nonlinearity without delay is handled in an exclusively rare manner for the case of time-delay systems by making an adaptive scheme. A demonstrative numerical problem is discussed to illustrate the practicality of the projected approach.

Original language	English
Title of host publication	Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015
Editors	Muhammad Zafar-uz-Zaman
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	157-162
Number of pages	6
ISBN (Electronic)	9781479963690
DOIs	https://doi.org/10.1109/IBCAST.2015.7058497
State	Published - 11 Mar 2015
Externally published	Yes

Publication series

Name	Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

adaptive controller
chaos synchronization
delay-dependent stability
master-slave systems
nonlinear time delay

ASJC Scopus subject areas

General Materials Science
Water Science and Technology
Fluid Flow and Transfer Processes
General Computer Science

Access to Document

10.1109/IBCAST.2015.7058497

Cite this

Rafique, M. A., Siddque, M., & Rehan, M. (2015). Adaptive delay-dependent synchronization of nonlinear time delay systems. In M. Zafar-uz-Zaman (Ed.), Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015 (pp. 157-162). Article 7058497 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IBCAST.2015.7058497

Rafique, Muhammad Awais ; Siddque, Muhammad ; Rehan, Muhammad. / Adaptive delay-dependent synchronization of nonlinear time delay systems. Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. editor / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 157-162 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015).

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title = "Adaptive delay-dependent synchronization of nonlinear time delay systems",

abstract = "This document explores the synchronization problem for two nonlinear time-delay chaotic master-slave systems having unidentified parameters. The state dynamics of the slave system are also corrupted by the disturbance. An adaptive controller is proposed for synchronization of the two systems and the adaptation laws are derived for the estimation of unknown parameters. A delay-dependent condition in the form of LMI is derived so that the controller can be constructed. Lyapunov-Krasovskii functional is used to verify the stability of the master-slave system with proposed controller and the L2 gain from disturbance to the synchronization error is proved to be bounded. The nonlinearity without delay is handled in an exclusively rare manner for the case of time-delay systems by making an adaptive scheme. A demonstrative numerical problem is discussed to illustrate the practicality of the projected approach.",

keywords = "adaptive controller, chaos synchronization, delay-dependent stability, master-slave systems, nonlinear time delay",

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language = "English",

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Rafique, MA, Siddque, M & Rehan, M 2015, Adaptive delay-dependent synchronization of nonlinear time delay systems. in M Zafar-uz-Zaman (ed.), Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015., 7058497, Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015, Institute of Electrical and Electronics Engineers Inc., pp. 157-162. https://doi.org/10.1109/IBCAST.2015.7058497

Adaptive delay-dependent synchronization of nonlinear time delay systems. / Rafique, Muhammad Awais; Siddque, Muhammad; Rehan, Muhammad.
Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. ed. / Muhammad Zafar-uz-Zaman. Institute of Electrical and Electronics Engineers Inc., 2015. p. 157-162 7058497 (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This document explores the synchronization problem for two nonlinear time-delay chaotic master-slave systems having unidentified parameters. The state dynamics of the slave system are also corrupted by the disturbance. An adaptive controller is proposed for synchronization of the two systems and the adaptation laws are derived for the estimation of unknown parameters. A delay-dependent condition in the form of LMI is derived so that the controller can be constructed. Lyapunov-Krasovskii functional is used to verify the stability of the master-slave system with proposed controller and the L2 gain from disturbance to the synchronization error is proved to be bounded. The nonlinearity without delay is handled in an exclusively rare manner for the case of time-delay systems by making an adaptive scheme. A demonstrative numerical problem is discussed to illustrate the practicality of the projected approach.

AB - This document explores the synchronization problem for two nonlinear time-delay chaotic master-slave systems having unidentified parameters. The state dynamics of the slave system are also corrupted by the disturbance. An adaptive controller is proposed for synchronization of the two systems and the adaptation laws are derived for the estimation of unknown parameters. A delay-dependent condition in the form of LMI is derived so that the controller can be constructed. Lyapunov-Krasovskii functional is used to verify the stability of the master-slave system with proposed controller and the L2 gain from disturbance to the synchronization error is proved to be bounded. The nonlinearity without delay is handled in an exclusively rare manner for the case of time-delay systems by making an adaptive scheme. A demonstrative numerical problem is discussed to illustrate the practicality of the projected approach.

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Rafique MA, Siddque M, Rehan M. Adaptive delay-dependent synchronization of nonlinear time delay systems. In Zafar-uz-Zaman M, editor, Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 157-162. 7058497. (Proceedings of 2015 12th International Bhurban Conference on Applied Sciences and Technology, IBCAST 2015). doi: 10.1109/IBCAST.2015.7058497

Adaptive delay-dependent synchronization of nonlinear time delay systems

Abstract

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Bibliographical note

Keywords

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Cite this