Adaptive terminal sliding mode control subject to input nonlinearity for synchronization of chaotic gyros

► (Anti) Synchronization between chaotic gyros is achieved by adaptive terminal sliding mode. ► Controller with time-varying feedback gains are not necessary to be determined in advance. ► Sufficient conditions for stable synchronization are given based on Lyapunov stability theorem. Under the exist...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 18; no. 3; pp. 682 - 691
Main Authors Yang, Chi-Ching, Ou, Chung-Jen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2013
Subjects
Adaptive control systems
Adaptive terminal sliding mode
Anti-synchronization
Chaotic gyro
Complete synchronization
Control systems
Dynamical systems
Feedback
Input nonlinearity
Nonlinear dynamics
Nonlinearity
Synchronism
Synchronization
Complete synchronization
Input nonlinearity
Anti-synchronization
Chaotic gyro
Adaptive terminal sliding mode
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Summary:► (Anti) Synchronization between chaotic gyros is achieved by adaptive terminal sliding mode. ► Controller with time-varying feedback gains are not necessary to be determined in advance. ► Sufficient conditions for stable synchronization are given based on Lyapunov stability theorem. Under the existence of system uncertainties, external disturbances, and input nonlinearity, complete synchronization and anti-synchronization between two chaotic gyros are achieved by introducing a novel adaptive terminal sliding mode (ATSM) controller. In the literature, by taking account of input nonlinearity, the magnitudes of bounded nonlinear dynamics of synchronous error system were required in the designed sliding mode controller. In this study, the proposed ATSM controller associated with time-varying feedback gains can tackle nonlinear dynamics according to the novel adaptive rules. These feedback gains are not necessary to be determined in advance but updated by the adaptive rules without known the magnitudes of bounded nonlinear dynamics, system uncertainties, and external disturbances. Sufficient conditions to guarantee stable synchronization are given in the sense of the Lyapunov stability theorem, and the numerical simulations are performed to verify the effectiveness of presented schemes.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2012.07.012