Synchronization of chaos in simultaneous time-frequency domain

Liu, Meng‐Kun; Suh, C. Steve

doi:10.1016/j.apm.2013.05.008

Cited by 6 publications

(2 citation statements)

References 27 publications

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“…This root mean square error (RMSE) describes the accuracy of the control synchronizing strategy in order to make sure that the control synchronization will be the minimum and zero in finite time. Other results in the literature related to synchronization control of chaotic systems can be found in papers such as that in [ 54 ], which achieves chaos synchronization in the frequency domain. Then, in [ 55 ], a novel control approach does the synchronization of two non-identical 4-D hyperchaotic systems.…”

Section: Related Workmentioning

confidence: 99%

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Azar

Serrano

Zhu

et al. 2021

Entropy

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In this paper, the robust stabilization and synchronization of a novel chaotic system are presented. First, a novel chaotic system is presented in which this system is realized by implementing a sigmoidal function to generate the chaotic behavior of this analyzed system. A bifurcation analysis is provided in which by varying three parameters of this chaotic system, the respective bifurcations plots are generated and evinced to analyze and verify when this system is in the stability region or in a chaotic regimen. Then, a robust controller is designed to drive the system variables from the chaotic regimen to stability so that these variables reach the equilibrium point in finite time. The robust controller is obtained by selecting an appropriate robust control Lyapunov function to obtain the resulting control law. For synchronization purposes, the novel chaotic system designed in this study is used as a drive and response system, considering that the error variable is implemented in a robust control Lyapunov function to drive this error variable to zero in finite time. In the control law design for stabilization and synchronization purposes, an extra state is provided to ensure that the saturated input sector condition must be mathematically tractable. A numerical experiment and simulation results are evinced, along with the respective discussion and conclusion.

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Section: Related Workmentioning

confidence: 99%

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Azar

Serrano

Zhu

et al. 2021

Entropy

View full text Add to dashboard Cite

show abstract

“…Due to the importance in science and engineering, the synchronization has been paid considerable attentions in the past two decades [1][2][3][4][5][6][7]. Time delay is unavoidable in a complex system due to the limited speed of information communication among subsystems.…”

Section: Introductionmentioning

confidence: 99%

H∞ synchronization of coupled delay partial differential systems via nonsingular transformation method

Wang

et al. 2015

Applied Mathematical Modelling

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a b s t r a c tThis paper considers the H 1 synchronization of coupled delay partial differential systems (PDSs). By using the nonsingular transformation method, the coupled systems are decoupled to simplify the complex H 1 synchronization problem of coupled delay PDSs. The equivalence of the H 1 synchronization for original coupled delay PDSs and the H 1 stabilization of transformed decoupled delay PDSs is rigorously verified. Sufficient conditions are obtained to guarantee the H 1 synchronization. These sufficient conditions also reflect the effect of spatial domain on the H 1 synchronization. Moreover, when the external disturbances disappear, the asymptotical synchronization is studied. The relationship between the H 1 synchronization and the asymptotical synchronization is also presented. At last, an example is given to illustrate the correctness of our results.

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Applied Time-Frequency Control in Agricultural Machines

Song

Suh

2022

Sensing, Data Managing, and Control Technologies for Agricultural Systems

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Synchronization of chaos in simultaneous time-frequency domain

Cited by 6 publications

References 27 publications

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

H∞ synchronization of coupled delay partial differential systems via nonsingular transformation method

Applied Time-Frequency Control in Agricultural Machines

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