Finite-Time Synchronization for Uncertain Master-Slave Chaotic System via Adaptive Super Twisting Algorithm

Siricharuanun, Pimchana; Pukdeboon, Chutiphon

doi:10.1155/2016/3512917

Cited by 1 publication

(1 citation statement)

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“…In recent years, some methods have been developed to design adaptive finite-time synchronizers such as adaptive feedback control (Vincent and Guo, 2011), nonlinear adaptive control (Aghababa and Aghababa, 2012), intermittent adaptive control (Mei et al., 2014), adaptive terminal sliding mode (Lee et al., 2012), and the adaptive super-twisting algorithm (Siricharuanun and Pukdeboon, 2016). To the best of our knowledge, the problem of robust finite-time synchronization via the combination finite time theory, global SMC, and adaptive tuning laws has received little consideration.…”

Section: Introductionmentioning

confidence: 99%

Robust finite-time synchronization of a class of chaotic systems via adaptive global sliding mode control

Mobayen

Ren

et al. 2017

Journal of Vibration and Control

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This paper proposes an adaptive robust finite-time control method based on a global sliding surface for the synchronization of a class of chaotic systems. New chattering-free control laws are designed to guarantee the removal of the reaching mode and realize the existence of the sliding mode around the designed surface right from the first moment. The proposed adaptive-tuning controllers eliminate the requirement of knowledge about disturbance bounds. Using the suggested control technique, superior master–slave synchronization is achieved, the chattering problem is fully solved, and the amplitudes of the control signals are noticeably decreased. Demonstrative simulation results for a Lü chaotic system are presented to indicate the efficiency and usefulness of the proposed scheme. In the end, using a state-feedback controller, we obtain a four-dimensional system with two interesting features. First, some hyperchaotic solutions are proposed, and then a continuous bifurcation diagram showing chaos for a wide range of bifurcation parameter is presented.

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