Robust adaptive chatter-free finite-time control method for chaos control and (anti-)synchronization of uncertain (hyper)chaotic systems

Tran, Xuan-Toa; Kang, Hee-Jun

doi:10.1007/s11071-015-1895-6

Cited by 31 publications

(16 citation statements)

References 40 publications

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“…(2013a) only offers the finite-time topology identification for the unknown parameters. In Tran and Kang (2015), a robust adaptive chattering-free finite-time controller is designed for chaos control and (anti-) synchronization of uncertain (hyper)chaotic systems; however, in some of the Lyapunov functions only the reaching condition is fulfilled and the finite-time condition is not satisfied.…”

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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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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“…Synchronization plays a very important role in many contexts, such as synchronous communication, signal synchronization (for example, synchronization between video and audio signals), firefly bioluminescence synchronization, geostationary satellites, synchronous motors, database synchronization [1][2][3][4][5]. So far, many effective control approaches have been proposed to achieve synchronization, such as adaptive control [6][7], feedback control [8][9], pinning control [10][11], impulsive control [12][13] and intermittent control [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

Fan

Zhu

et al. 2016

Neurocomputing

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The fast synchronization problem for a class of complex dynamical networks with time varying delay by means of periodically intermittent control is studied. Based on the finite-time stability theory and periodically intermittent control technique, some sufficient synchronization criteria are obtained to guarantee the fast synchronization. Furthermore, the essential condition for guaranteeing periodically intermittent control realized in finite time is given in this paper. Finally, two examples are illustrated to verify the proposed theoretical results.

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“…Therefore, the control signals (24) and (37) are uniformly continuous. This implies that infinitely fast components of frequency characteristics of the sign function, which cause discontinuity, are filtered and eliminated by the fractional integral.…”

Section: Remarkmentioning

confidence: 99%

“…Finite-time synchronization between integer-order chaotic systems has also been achieved in some papers by employing different control methods such as control Lyapunov function (CLF) [30,31], adaptive control [32], observer-based control [33], sliding mode control and adaptive sliding mode control [34][35][36][37]. Unfortunately, these works also suffer from all the abovementioned problems.…”

mentioning

confidence: 99%

A novel continuous time-varying sliding mode controller for robustly synchronizing non-identical fractional-order chaotic systems precisely at any arbitrary pre-specified time

Khanzadeh

Pourgholi

2016

Nonlinear Dyn

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In this paper, attempts are made to design a novel time-varying switching surface in sliding mode control which enables us to synchronize two fractional chaotic systems precisely at any arbitrary pre-specified time. For both Caputo (C) and Riemann-Liuville (RL) derivatives, control laws based on Lyapunov stability theorem are derived. The proposed method is completely robust against existence of uncertainties and exogenous disturbances due to eliminating the reaching phase. Since the sign function is replaced by fractional RL integral of the sign function, the chattering is removed. The simulation results in different scenarios are reported to show the effectiveness of the proposed method.

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Robust adaptive chatter-free finite-time control method for chaos control and (anti-)synchronization of uncertain (hyper)chaotic systems

Cited by 31 publications

References 40 publications

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

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

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

A novel continuous time-varying sliding mode controller for robustly synchronizing non-identical fractional-order chaotic systems precisely at any arbitrary pre-specified time

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