An adaptive scheme for chaotic synchronization in the presence of uncertain parameter and disturbances

Vargas, José A. R.; Grzeidak, Emerson; Gularte, Kevin H. M.; Alfaro, Sadek Crisóstomo Absi

doi:10.1016/j.neucom.2015.10.026

Cited by 24 publications

(6 citation statements)

References 37 publications

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“…3) The proposed scheme is applied to secure communication, and it was implemented using electrical circuits. In contrast to [17], [19], [20], [23], [26], [61], [63], [69], [70], [76], [77].…”

Section: Introductionmentioning

confidence: 94%

“…In summary, the synchronization of either chaos or hyperchaos is characterized by two main hypotheses: the control dimension and system order are equal [9], [17], [19], [20], [39], [61], [63], [66], [69], [70] and unknowns are not considered in the stability analysis [11], [17], [19], [20], [23], [26], [60], [66]- [68]. The former is related to the complexity of the synchronization scheme and the latter to the robustness of the method.…”

Section: Introductionmentioning

confidence: 99%

“…1) An underactuated projective synchronization scheme for a perturbed Zhou et al hyperchaotic system [20] is proposed. The proposed synchronization has a simple structure, in contrast to [9], [17], [19], [20], [22], [23], [39], [53], [61], [63], [69], [70], [76].…”

Section: Introductionmentioning

confidence: 99%

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Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Gularte¹,

Alves²,

Vargas³

et al. 2021

IEEE Access

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This paper proposes a scheme for secure telecommunication based on the projective synchronization of hyperchaotic systems. The design of the synchronizer considers the presence of disturbances to increase the robustness of the method. The main advantage of the proposed approach lies in that only two control inputs are required to synchronize the master and slave systems. Hence, the control structure is simple, which, in turn, simplifies the applications. Based on Lyapunov theory, the proposed approach ensures the finite-time convergence of the synchronization error to a small neighborhood of the origin, even in the presence of disturbances in all states. Simulations to both show the advantages and applications of the proposed approach were also accomplished to validate the theory.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

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Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Gularte¹,

Alves²,

Vargas³

et al. 2021

IEEE Access

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“…Theorem 1 Let the update method for the augmented matrix be as in Eq. (41). Define the weight estimation error as…”

Section: -4mentioning

confidence: 99%

“…Consider the chaotic systems described by the following differential equation: [41] ẋ = 𝐴(β )𝑥 + 𝑓 (𝑥) + 𝑑 + 𝑢,…”

Section: Examplementioning

confidence: 99%

Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances

Song¹,

Wei²

2017

Chinese Phys. B

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We develop an optimal tracking control method for chaotic system with unknown dynamics and disturbances. The method allows the optimal cost function and the corresponding tracking control to update synchronously. According to the tracking error and the reference dynamics, the augmented system is constructed. Then the optimal tracking control problem is defined. The policy iteration (PI) is introduced to solve the min-max optimization problem. The off-policy adaptive dynamic programming (ADP) algorithm is then proposed to find the solution of the tracking Hamilton-Jacobi-Isaacs (HJI) equation online only using measured data and without any knowledge about the system dynamics. Critic neural network (CNN), action neural network (ANN), and disturbance neural network (DNN) are used to approximate the cost function, control, and disturbance. The weights of these networks compose the augmented weight matrix, and the uniformly ultimately bounded (UUB) of which is proven. The convergence of the tracking error system is also proven. Two examples are given to show the effectiveness of the proposed synchronous solution method for the chaotic system tracking problem.

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A Robust Underactuated Synchronizer for a Five-dimensional Hyperchaotic System: Applications for Secure Communication

Gómez,

dos Santos,

Gularte

et al. 2023

Int. J. Control Autom. Syst.

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An adaptive scheme for chaotic synchronization in the presence of uncertain parameter and disturbances

Cited by 24 publications

References 37 publications

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances

A Robust Underactuated Synchronizer for a Five-dimensional Hyperchaotic System: Applications for Secure Communication

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