Chaos control of the modified Chua’s circuit system

Wu, Tso-Ren; Chen, Min‐Shin

doi:10.1016/s0167-2789(02)00360-3

Cited by 61 publications

(30 citation statements)

References 11 publications

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“…The system with coupled inputs is called the slave (response) system, which is designed to synchronize the chaotic behavior of a system called the master (drive) system. Lots of methods have been proposed to achieve the synchronization of chaotic systems, such as adaptive control [21,27], fuzzy control [34], backstepping control [11,25,31], sliding mode control [8], digital redesign control [4], and impulsive control [15,17].…”

Section: Introductionmentioning

confidence: 99%

Design of hybrid controller for synchronization control of Chen chaotic system

Zhang¹,

Li²,

Han³

2017

J. Nonlinear Sci. Appl.

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This paper deals with the synchronization control of Chen chaotic system using a hybrid control which includes continuous state feedback control, the impulsive control and the nonlinear feedback law. To this end, a hybrid controller based on linear matrix inequality (LMI) and average dwell time (ADT) is derived by employing impulsive control theory. The main advantage of the result lies in that, for one thing, they are complementary to each other, that is, when the impulse inputs occur in terms of disturbances which do harm to the synchronization, the continuous state feedback control will cover the weakness and stabilize the error system, and conversely, when the continuous state feedback control is given in terms of external disturbances which do harm to the synchronization, the impulsive control input will stabilize the error system; for another, the developed result is based on ADT condition and dropped the restriction on the upper and lower bounds of the impulsive intervals. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

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Section: Introductionmentioning

confidence: 99%

Design of hybrid controller for synchronization control of Chen chaotic system

Zhang¹,

Li²,

Han³

2017

J. Nonlinear Sci. Appl.

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“…Hartley [10] suggested that the piecewise linear function can be replaced by a cubic polynomial with no major change in the system's dynamical characteristics. For chaos control of modified Chua's circuit system, there is an ocean of excellent works, see the monographs [1,3,6,[17][18][19][20][21] and references therein. For instance, Chen et al [3] gave the global anti-synchronization of chaotic modified Chua's circuits via linear feedback control.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis and chaos control of the modified Chua’s circuit system

Yang

Zhao

2015

Chaos, Solitons & Fractals

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“…This nonlinearity has a shape similar to that of the original function but with the advantage that smoothness is gained avoiding analysis difficulties due to the discontinuities of the original function. Some other proposals in which this variation is employed are found in the works by [29], [37] and [40]. A new version of the Chua circuit is investigated by [17].…”

Section: Introductionmentioning

confidence: 99%

A modified Chua chaotic oscillator and its application to secure communications

Zapateiro

Acho

Vidal

2014

Applied Mathematics and Computation

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In this paper, a new modified Chua oscillator is introduced. The original Chua oscillator is well known for its simple implementation and mathematical modeling. A modification of the oscillator is proposed in order to facilitate the synchronization and the encryption and decryption scheme. The modification consists in changing the nonlinear term of the original oscillator to a smooth and bounded nonlinear function. A bifurcation diagram, a Poincaré map and the Lyapunov exponents are presented as proofs of chaoticity of the newly modified oscillator. An application to secure communications is proposed in which two channels are used. Numerical simulations are performed in order to analyze the communication system.

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Chaos control of the modified Chua’s circuit system

Cited by 61 publications

References 11 publications

Design of hybrid controller for synchronization control of Chen chaotic system

Design of hybrid controller for synchronization control of Chen chaotic system

Bifurcation analysis and chaos control of the modified Chua’s circuit system

A modified Chua chaotic oscillator and its application to secure communications

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