Parameter estimation and synchronization of hyper chaotic Lu system with disturbance input and uncertainty using two under-actuated control signals

Sabaghian, Alireza; Balochian, Saeed

doi:10.1177/0142331218788216

Cited by 6 publications

(4 citation statements)

References 39 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%

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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%

“…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%

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Gularte¹,

Alves²,

Vargas³

et al. 2021

IEEE Access

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“…Finally, sustainability analysis has been performed. In [63], chaos-based synchronization of nonlinear Lu systems with disturbance and uncertainty and minor control scheme with regard to systems dimensions by applying an ASMC is presented. Firstly, an Integral-Type Sliding Mode Control (I-TSMC) is proposed for chaos-based synchronization of nonlinear Lu systems with specify positive parameters.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of a new five-dimensional hyper-chaotic system via terminal sliding mode control

et al. 2023

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prove that the introduced new 5-D hyper-chaotic system has complex and nonlinear behaviors. Next, the work describes Fast Terminal Sliding Mode Control (FTSMC) scheme for the control and finite-time fast synchronization of the novel 5-D nonlinear hyper-chaotic system. Proof of stability for both phases has been done for the new controller with the Lyapunov stability theory. For the synchronization, both master-slave subsystems are perturbed by different parameter and model uncertainties. Both steps of the Sliding Mode Controller (SMC) have chaos-based fast convergence properties. Subsequently, it has been shown that the state paths of both master-slave systems can reach each other in a limited-time. One of the features of the novel controller in this paper, is high performance and finite-time stability of the terminal sliding surface due to derivative error and error. Finally, using the MATLAB simulation, the results are confirmed for the new hyper-chaotic system.

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“…In basic sciences, synchronization indicates that various processes join each other at a specific point or perform similarly. In the recent decades, many scientists have studied synchronization in different contexts, including motor synchronization (Rinott and Tractinsky, 2022), synchronization in computer science (Sarkar, 2021), synchronization of mechanical systems (Zhang et al, 2021), power system synchronization (Choi and Seo, 2021), and synchronization of chaotic systems (Assali, 2021; Sabaghian and Balochian, 2018; Tabasi and Balochian, 2018).…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant complete synchronization of integer and fractional derivative 6D hyper-chaotic systems with unknown time delay

Sabaghian

Balochian

2022

Transactions of the Institute of Measurement and Control

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In this study, synchronization of two 6D hyper-chaotic systems in the presence of bounded disturbance and uncertainty with unknown bounds and time delay for integer-order and fractional-order systems is investigated. In the first step of the selected control approach, a proper sliding surface is defined for synchronization of two hyper-chaotic systems, a proper active control is considered, and proper adaptive laws are used to estimate the uncertainty bounds, the unknown disturbance, and unknown time delay of the master and slave systems. The stability of the closed-loop control system is proved using the Lyapunov theorem. Simulation results using MATLAB verify desired performance of the proposed controllers in the presence of unknown disturbance, uncertainty, and time delay.

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Parameter estimation and synchronization of hyper chaotic Lu system with disturbance input and uncertainty using two under-actuated control signals

Cited by 6 publications

References 39 publications

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Finite-time synchronization of a new five-dimensional hyper-chaotic system via terminal sliding mode control

Fault-tolerant complete synchronization of integer and fractional derivative 6D hyper-chaotic systems with unknown time delay

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