Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems

Hu, Manfeng; Xu, Zhi-Hong; Zhang, Rong; Hu, Aihua

doi:10.1016/j.physleta.2006.08.092

Cited by 86 publications

(53 citation statements)

References 28 publications

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“…Different synchronization schemes for chaotic systems were studied and investigated [6][7][8][9][10]. Among these schemes, hybrid synchronization [11][12][13][14][15][16][17][18][19] is one in which some of the chaotic systems are synchronized whereas others are antisynchronized. Due to its importance, hybrid synchronization has been the subject of many research works.…”

Section: Introductionmentioning

confidence: 99%

“…These works include study of synchronization/antisynchronization for permanent magnet synchronous motors connected in ring topology [11], function projective type synchronization for complex dynamical networks [12], investigation of complete synchronization and antiphase synchronization together [13], hybrid synchronization of networks having heterogeneous systems [14], study of synchronization for fractional-order systems [15], investigation of synchronization for systems with hyperchaotic nature [16,17], and study of synchronization for complex networks [18,19]. Study of hybrid synchronization involves multiple chaotic systems like complete, adaptive, global, projective, and antisynchronization systems [17,[20][21][22][23][24][25][26][27], and synchronization systems in multiple coupled complex networks [28,29]. Currently, hybrid synchronization of several connected chaotic systems is a hot topic of research and the work includes investigation of complex network synchronization for perturbations and delays [30] and a study of neural networks for synchronization [31].…”

Section: Introductionmentioning

confidence: 99%

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Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

Siddique

Rehman

2018

Mathematical Problems in Engineering

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This article presents an adaptive integral sliding mode control (SMC) design method for parameter identification and hybrid synchronization of chaotic systems connected in ring topology. To employ the adaptive integral sliding mode control, the error system is transformed into a special structure containing nominal part and some unknown terms. The unknown terms are computed adaptively. Then the error system is stabilized using integral sliding mode control. The controller of the error system is created that contains both the nominal control and the compensator control. The adapted laws and compensator controller are derived using Lyapunov stability theory. The effectiveness of the proposed technique is validated through numerical examples.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

Siddique

Rehman

2018

Mathematical Problems in Engineering

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“…Nowadays, full state hybrid projective synchronization (FSHPS) [7] has been presented and has been used in real chaotic systems [8,16,28,37], complex chaotic systems [18,38] and fractional-order chaotic systems [28,34].…”

Section: Introductionmentioning

confidence: 99%

Full state hybrid projective synchronization of variable-order fractional chaotichyperchaotic systems with nonlinear external disturbances and unknown parameters

Zhang¹,

Liu²

2016

J. Nonlinear Sci. Appl.

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The full state hybrid projective synchronization (FSHPS) definition for variable-order fractional chaotic/hyperchaotic systems with nonlinear external disturbances and unknown parameters is firstly presented. Then by introducing a compensator and a nonlinear controller, the FSHPS scheme is generated to eliminate the influence of nonlinear external disturbances effectively. Moreover, the parameters are estimated validly. Based on these control methods, appropriate parameters and controller to achieve FSHPS for the variable-order fractional chaotic/hyperchaotic systems are chosen impactfully. Simulations of variable-order fractional Chen and Lü system and fractional order hyperchaotic Lorenz system in the sense of FSHPS are performed and results show the effectiveness of our method.

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“…Since the parameters of synchronous system is known, it is easy to control the given accurate synchronous system [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Synchronous Control of Second Order Linear System Based on Sliding Mode Method

Li¹,

Ma²,

Wang³

et al. 2016

IJCA

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In order to solve the uncertain problem that parameters of system model are not accurate, a synchronous control method which is based on sliding mode method is proposed in this paper. A synchronous system which has the similar structures with the controlled system is constructed, then a control law is design to make the synchronous system trace the controlled system. So the controlled system can be controlled by controlling the synchronous system. Finally, numerical simulation was done the testify the rightness of the proposed method.

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Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems

Cited by 86 publications

References 28 publications

Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

Full state hybrid projective synchronization of variable-order fractional chaotichyperchaotic systems with nonlinear external disturbances and unknown parameters

Synchronous Control of Second Order Linear System Based on Sliding Mode Method

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