Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme

doi:10.1088/1674-1056/25/8/080501

Abstract In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a sliding mode controller with time-varying switching surfaces is proposed to achieve chaos synchronization at a pre-specified time for the first time. The proposed controller is able to synchronize chaotic systems precisely at any time when we want. Moreover, by choosing the time-varying switching surfaces in a way that the reaching phase is eliminated, the synchronization becomes robust to uncertainties and exogenous disturbances. Simulation results are presented to show the effectiveness of the proposed method of stabilizing and synchronizing chaotic systems with complete robustness to uncertainty and disturbances exactly at a pre-specified time.

Keywords: chaos synchronization finite time synchronization sliding mode controller time varying switching surfaces

Received: 25 September 2015
Revised: 25 April 2016
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Corresponding Authors: Mahdi Pourgholi
E-mail: m_pourgholi@sbu.ac.ir

Cite this article:

Alireza Khanzadeh, Mahdi Pourgholi Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme 2016 Chin. Phys. B 25 080501

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Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme

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