Single state feedback stabilization of unified chaotic systems and circuit implementation

Jing, Chun Guo; He, Ping; Fan, Tao; Li, Yangmin; Chen, Changzhong; Song, Xiaoning

doi:10.1515/phys-2015-0015

Cited by 5 publications

(4 citation statements)

References 50 publications

(71 reference statements)

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“…Numerical example has been presented to show the availability and effectiveness of the devised global synchronization controller. It could be one of future research subject to extend the current results to more general complex networks and circuit implementation .…”

Section: Resultsmentioning

confidence: 94%

Optimal guaranteed cost synchronization of coupled neural networks with Markovian jump and mode-dependent mixed time-delay

2015

Optim. Control Appl. Meth.

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Summary This paper is concerned with the optimal guaranteed cost synchronization problem for a class of coupled neural networks with Markovian jump parameters and mode‐dependent mixed time‐delay. The coupled neural networks contained N‐identical delayed neural nodes and M switch modes from one mode to another according to a Markovian chaining with known transition probability. All the coupled networks' parameters covering the coupled matrix and discrete and distributed time‐delay also depend on the Markovian jump mode. The associated optimal guaranteed cost function is a quadratic function; the activation function is supposed to satisfy sector‐bounded condition. By employing a new Lyapunov–Krasovskii functional and some analytic skills, the sufficiency conditions of guaranteed cost synchronization are derived to ensure that coupling neural network is asymptotically synchronized for related cost function in mean square. The exported sufficient condition is closely contacted with the distributed time‐delay, the mode transition probability, the discrete‐time delay, and the coupled structure of networks. The achieved conditions are given in the light of LMI that can be usefully solved by using the semi‐definite program scheme. Moreover, an LMI‐based approach to export the guaranteed cost synchronization controller is formulated to minimize the optimal guaranteed cost for closed‐loop dynamical networks. Numerical simulations are developed to further display the efficiency of the achieved theoretical results. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 94%

Optimal guaranteed cost synchronization of coupled neural networks with Markovian jump and mode-dependent mixed time-delay

2015

Optim. Control Appl. Meth.

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“…Thereafter, many researchers have completed a lot of research on chaos control in different fields and have published many successful experimental reports in nonlinear field. () Many chaos control schemes have been proposed in recent years,() such as robust control,() feedback control,() adaptive control,() backstepping control,() sliding mode control,() neural network control, fuzzy logic control,() and optimal control. ()…”

Section: Introductionmentioning

confidence: 97%

Chaos control and circuit implementation of a class of double‐wing chaotic system

Fan

Tuo

et al. 2019

Int J Numerical Modelling

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The objective of this paper is to investigate stabilization problem of a class of double-wing chaotic system and its circuit implementation. On the basis of a skillful method, a single-state controller is proposed and analyzed. Comparing with recent works, the control scheme and its circuit implementation presented in this work are very simple and skillful. The circuit realization of the chaotic system and the control scheme are provided in detail. In addition, the numerical simulation, electrical simulation, and physical experiment results are discussed and presented to verify the effectiveness of the proposed control method.

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“…Based on the universal approximation capability of the fuzzy systems [25], numerous adaptive fuzzy control schemes [26][27][28][29][30][31][32][33][34][35][36] have been developed for a class of uncertain chaotic systems but with integer order. In these schemes, the adaptive fuzzy systems are used to estimate the model uncertainties.…”

Section: Introductionmentioning

confidence: 99%

“…Such a robust control term can be conceived using a sliding mode control [27][28][29]33], an H?-based robust control [26,30,31] and a quasi-sliding mode control [32]. However, it is should be mentioned that the above results [26][27][28][29][30][31][32][33][34][35][36] are only applicable to chaotic systems with integer order.…”

Section: Introductionmentioning

confidence: 99%

Projective synchronization of two different fractional-order chaotic systems via adaptive fuzzy control

Bouzeriba

Boulkroune

Bouden

2015

Neural Comput & Applic

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In this paper, the projective synchronization problem of two fractional-order different chaotic (or hyperchaotic) systems with both uncertain dynamics and external disturbances is considered. More particularly, a fuzzy adaptive control system is investigated for achieving an appropriate projective synchronization of unknown fractional-order chaotic systems. The adaptive fuzzy logic systems are used to approximate some uncertain nonlinear functions appearing in the system model. These latter are augmented by a robust control term to compensate for the unavoidable fuzzy approximation errors and external disturbances as well as residual error due to the use of the socalled e-modification in the adaptive laws. A Lyapunov approach is adopted for the design of the parameter adaptation laws and the proof of the corresponding stability as well as the asymptotic convergence of the underlying synchronization errors towards zero. The effectiveness of the proposed synchronization system is illustrated through numerical experiment results.

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Single state feedback stabilization of unified chaotic systems and circuit implementation

Cited by 5 publications

References 50 publications

Optimal guaranteed cost synchronization of coupled neural networks with Markovian jump and mode-dependent mixed time-delay

Optimal guaranteed cost synchronization of coupled neural networks with Markovian jump and mode-dependent mixed time-delay

Chaos control and circuit implementation of a class of double‐wing chaotic system

Projective synchronization of two different fractional-order chaotic systems via adaptive fuzzy control

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