A research on adaptive control to stabilize and synchronize  a hyperchaotic system with uncertain parameters

Ahmad, Israr; Saaban, Azizan; Ibrahim, Adyda Binti; Al-Hadhrami, Said Ali; Shahzad, Mohammad; Al-Mahrouqi, Sharifa Hilal

doi:10.11121/ijocta.01.2015.00238

Cited by 7 publications

(3 citation statements)

References 15 publications

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“…The active control is an efficient technique for synchronizing the chaotic systems. This method has been applied to many practical systems such as spatiotemporal dynamical systems (Codreanu [8]), the Rikitake two-disc dynamo-a geographical systems (Vincent [32] ), Non-linear Bloch equations modeling "jerk" equation and R. C. L shunted Josephson junctions (Ucar et al [30,31] ), Complex dynamos (Mahmoud [21] ), Qi systems (Lei et al [18]) and Hyper-chaotic and time delay systems (Israr Ahmad et al [1,2]) etc.…”

Section: Introductionmentioning

confidence: 99%

Synchronization control of two identical three restricted body problems via active control

Arif¹,

Sagar²

2018

ntmsci

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This article presents the chaos synchronization problem of the restricted three body problem (RTBP) when the primaries are moving in a circular orbit around their center of mass in the non-uniform motion. The feedback controller for the stability of the closed-loop system is designed using the active control strategy. Simulation results satisfy the theoretical findings. For validation of results by numerical simulations, the mathematica 10 is used when the primaries are Mars and Earth.

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Section: Introductionmentioning

confidence: 99%

Synchronization control of two identical three restricted body problems via active control

Arif¹,

Sagar²

2018

ntmsci

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“…Some results have been reported about LS [8][9][10][11][12][13][14][16][17][18]. Besides, over the past 25 years, a variety of methods have been proposed for chaos synchronization, such as sliding mode control [19,20], active control [21,22], adaptive control [23,24], and fuzzy control [25][26][27] which are designed via the universal approximation theorem [28].…”

Section: Introductionmentioning

confidence: 99%

Output‐Feedback Controller Based Projective Lag‐Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities

Boulkroune

Hamel

Zouari

et al. 2017

Mathematical Problems in Engineering

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This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme.

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“…Various linear and nonlinear control techniques have been developed to carry out synchronization behavior. Some of these include, adaptive control [7], linear error state feedback control [8], backstepping method [9], active control [10], sliding mode control [11], and nonlinear control [12] are worth citing here, among others.…”

Section: Introductionmentioning

confidence: 99%

A Research on Active Control to Synchronize a New 3D Chaotic System

Ahmad¹,

Saaban²,

Ibrahim³

et al. 2015

Systems

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This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unknown bounded smooth external disturbance. The proposed active control strategy with a suitable computation of the linear controller gain matrix is simple in design and establishes fast convergence rates of the synchronization error signals. Numerical simulation results further verified the analytical results.

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A research on adaptive control to stabilize and synchronize a hyperchaotic system with uncertain parameters

Cited by 7 publications

References 15 publications

Synchronization control of two identical three restricted body problems via active control

Synchronization control of two identical three restricted body problems via active control

Output‐Feedback Controller Based Projective Lag‐Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities

A Research on Active Control to Synchronize a New 3D Chaotic System

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