Finite-time synchronization of uncertain unified chaotic systems based on CLF

“…Moreover, Mobayen (2016) studied finite-time synchronization of chaotic systems with matched and unmatched uncertainties via LMI technique. A control Lyapunov function (CLF) scheme has also been reported for finite-time synchronization of chaotic systems (Wang, Han, Xie, & Zhang, 2009;Yu, 2010). The synchronization of uncertain fractional-order chaotic systems in finite-time has been studied by Li and Zhang (2016) and Kengne, Tchitnga, Mezatio, Fomethe, and Litak (2017).…”

Section: Introductionmentioning

confidence: 99%

Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

Mohammadpour

Binazadeh

2018

Systems Science & Control Engineering

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This paper considers the finite-time synchronization of chaotic systems in the presence of model uncertainties and/or external disturbances. The synchronization happens between the two nonlinear master and slave systems. Control law is designed in such a way that the state variables of the slave system follow the state variables of the master system in the presence of uncertainties and external disturbances. In order to design a robust finite-time controller, first, a novel terminal sliding surface is proposed and its finite-time convergence to zero is analytically proved. Then a terminal sliding mode controller is designed which can conquer the uncertainties and guarantees the finitetime stability of the sliding motion equations. In this regard, a theorem is proposed and according to the Lyapunov approach it is proved that the synchronization happenes in finite-time. Additionally, in order to show the applicability of the proposed controller, it is applied on two practical systems, the Duffing-Holmes system and chaotic gyroscope system. Computer simulations verify the theoretical results and also display the effective performance of the proposed controller. ARTICLE HISTORY

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“…Nevertheless, the synchronization schemes used in [20][21][22] are dealing with asymptotical synchronization and can only guarantee that two systems achieve synchronization as time tends to infinity, while in real-world applications one always expects that two systems achieve synchronization within a finite and/or predetermined time. Besides, finite-time synchronization has been confirmed to have better robustness against parametric and external disturbances than the asymptotical one [23,24]-thus, the importance of studying finite-time synchronization of chaotic systems. The use of tunnel diodes to construct chaotic systems was also reported by A. Pikovskii [25], A. Fradkov [26], and others.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of tunnel-diode-based chaotic oscillators

et al. 2014

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This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the synchronization of tunnel-diode-based chaotic systems with and without the presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov stability theories. This feedback coupling could be applied to many other chaotic systems. A finite horizon can be arbitrarily established by ensuring that chaos synchronization is achieved at a pre-established time. An advantage of the proposed feedback coupling is that it is simple and easy to implement. Both mathematical investigations and numerical simulations followed by PSPICE experiment are presented to show the feasibility of the proposed method.

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Finite-time synchronization of uncertain unified chaotic systems based on CLF

Cited by 90 publications

References 11 publications

Finite-time outer synchronization between two complex dynamical network with time delay and noise perturbation

Finite-time outer synchronization between two complex dynamical network with time delay and noise perturbation

Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros

Finite-time synchronization of tunnel-diode-based chaotic oscillators

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