Adaptive synchronization of chaotic systems with hysteresis quantizer input

Asadollahi, Mostafa; Ghiasi, Amir Rikhtehgar; Badamchizadeh, Mohammad Ali

doi:10.1016/j.isatra.2019.08.043

Cited by 39 publications

(13 citation statements)

References 24 publications

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“…Chaos synchronization is one of the widely studied phenomena of nonlinear science that has greatly expanded people's perception from all across the world. Because of the widespread presence of chaos in many systems, researchers have been seriously interested in studying chaotic systems for over three decades [1][2][3]. Chaos causes unpredictable and inappropriate system behavior and leads to irreparable losses.…”

Section: Introductionmentioning

confidence: 99%

Internal Synchronization Using Adaptive Control

Shahzad¹,

Raziuddin²,

Naheed³

2022

Computational and Mathematical Methods

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This paper mainly deals on the issue of a chaotic synchronization of a master and slave systems. It is generally the requirement of the synchronization that someone needs at least one to one master and slave systems. In the current study, the authors introduce the concept of a synchronization in which there is no need of slave/response system externally. Furthermore, the synchronization has been demonstrated here within a system among the subsystems of different orders. In addition, adaptive control is chosen for the synchronization among various combinations in multiswitching manner. For demonstration purpose, Lorenz Six Dimensional Hyper Chaotic System (L6DHCS) is chosen. There are three different kinds of possible switches presented by the authors formed within the considered system. The numerical simulations are carried out to validate the effectiveness of the analytical technique using Mathematica.

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Section: Introductionmentioning

confidence: 99%

Internal Synchronization Using Adaptive Control

Shahzad¹,

Raziuddin²,

Naheed³

2022

Computational and Mathematical Methods

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“…Chaos synchronization has garnered substantial interest and research over the last few years because of its tenacity in numerous fields, including secure communication, physical science, chemical reactors, and information processing. Numerous intriguing discoveries have been found thus far on chaotic synchronization [9][10][11][12][13]. However, the widely held research is based on synchronization asymptotically.…”

Section: Introductionmentioning

confidence: 99%

Results for Chaos Synchronization with New Multi‐Fractional Order of Neural Networks by Multi‐Time Delay

Latiff

Othman

2021

Complexity

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A new finding is proposed for multi-fractional order of neural networks by multi-time delay (MFNNMD) to obtain stable chaotic synchronization. Moreover, our new result proved that chaos synchronization of two MFNNMDs could occur with fixed parameters and initial conditions with the proposed control scheme called sliding mode control (SMC) based on the time-delay chaotic systems. In comparison, the fractional-order Lyapunov direct method (FLDM) is proposed and is implemented to SMC to maintain the systems’ sturdiness and assure the global convergence of the error dynamics. An extensive literature survey has been conducted, and we found that many researchers focus only on fractional order of neural networks (FNNs) without delay in different systems. Furthermore, the proposed method has been tested with different multi-fractional orders and time-delay values to find the most stable MFNNMD. Finally, numerical simulations are presented by taking two MFNNMDs as an example to confirm the effectiveness of our control scheme.

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“…The adaptive synchronization control is proposed to attain the purpose of synchronization and this method requires lenient conditions for quantized parameters. 5 Jahanshahi et al, 6 the SMC combined with the fuzzy control to achieve the synchronization for the systems with fractional order. Wang et al 7 consider finite-time synchronization and finite-time adaptive synchronization for the impulsive neural networks are also proposed.…”

Section: Introductionmentioning

confidence: 99%

Hybrid H-infinity synchronization for uncertain continuous chaotic systems based on digital redesign approach

Fang

Tsai

Yan

et al. 2021

Measurement and Control

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In this paper, the design of hybrid H-infinity synchronization control for continuous chaotic systems based on sliding mode control (SMC) is considered. H-infinity discrete sliding mode controllers integrated with the digital redesign approach are newly designed to achieve robust chaos synchronization. By the proposed design procedure, an H-infinity discrete-time SMC can be easily obtained to guarantee the robustness of synchronization even if the system is disturbed with unmatched perturbations. Besides, since the saturation function is adopted to eliminate the unexpected chattering phenomenon, this paper also discusses the effect of saturation function in multi-input multi-output (MIMO) SMC and the upper bounds of sliding mode trajectories are obtained which is not indicated in the literature. Finally, we perform the simulation to verify the effectiveness of the proposed controller.

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Adaptive synchronization of chaotic systems with hysteresis quantizer input

Cited by 39 publications

References 24 publications

Internal Synchronization Using Adaptive Control

Internal Synchronization Using Adaptive Control

Results for Chaos Synchronization with New Multi‐Fractional Order of Neural Networks by Multi‐Time Delay

Hybrid H-infinity synchronization for uncertain continuous chaotic systems based on digital redesign approach

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