Chaos Control of a Chemical Chaotic System via Time-delayed Feedback Control Method

Xu, Changjin; Wu, Yusen

doi:10.1007/s11633-014-0804-7

Cited by 8 publications

(2 citation statements)

References 21 publications

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“…In nonlinear dynamical systems, investigating chaos in chemical and physical systems has gained much interest, since it is essential to map the direction in the evolution of the system. The existence of chaotic or non-equilibrium phenomena in chemical reaction systems and their synchronization using different control methods have been investigated widely in the previous literature (see [3,10,11,13,20,21,23,[27][28][29]). The popular integerorder approach to describe the behaviour of chemical systems has opened up new problems such as its inability to predict when the reactants start to react, when does chaotic behaviour arise and what is the reaction ratio of concentrations at any given point of time in the chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Detecting Critical Point of Fractional-Order Chemical System with Synchronization and Application to Image Enhancement Technique

Muthukumar

Babu

Balasubramaniam

2021

Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci.

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In chemical reactions, not all the reactants interact immediately, and thus, there is a need to predict the critical point of a chemical reaction. In this paper, a new fractional-order Willamowski-R € ossler chemical system is studied to predict the critical point in the chemical reaction. Consequently, the existence of chaotic or non-equilibrium phenomenon in the proposed chemical system is confirmed. Also, the reaction ratio of the reactants in this chemical system is investigated. In addition, the necessary conditions are derived to synchronize two identical chemical systems by designing and applying sliding mode control. Further, we have shown that the proposed synchronization technique is faster than the existing synchronization technique by comparing sliding mode controller. In application point of view, the described fractional-order chemical system is applied for image enhancement technique. Finally, numerical simulations are provided to validate the effectiveness of the proposed theoretical approach.

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Section: Introductionmentioning

confidence: 99%

Detecting Critical Point of Fractional-Order Chemical System with Synchronization and Application to Image Enhancement Technique

Muthukumar

Babu

Balasubramaniam

2021

Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci.

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“…It is generalized by determined nonlinear equations and possesses stochastic behaviour (Hilborn, 2000). Chaos has showed great application value and attracted lots of researches in different scientific fields such as power system (Zhao, Ma, and Liu, 2011), data encryption (Yuan and Huang, 2012), gross domestic product analysis (Kříž, 2014), chemical system (Xu and Wu, 2014), optimization algorithm (Wang, E, and Deng, 2012) and so on.…”

Section: Introductionmentioning

confidence: 99%

Parameter identification of fractional-order chaotic system with time delay via multi-selection differential evolution

Liu

et al. 2017

Systems Science & Control Engineering

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In this paper, the parameter identification issue of fractional-order chaotic system with time delay is studied, which is important for its modelling and controlling. A numerical algorithm for fractional differential equation with time delay is given. Time delay and fractional order along with other ordinary parameters are estimated together, which is rarely considered before. The identification issue is converted to an optimization problem, which is nonlinear, multivariable and multimodal. To solve this complex optimization problem effectively, a multi-selection differential evolution (MS-DE) is proposed. In MS-DE, multiple vectors are generated as candidate for selection, which can avoid the local extremum and speed up the convergence speed. The simulation results illustrate the effectiveness of the proposed MS-DE method.

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Sliding Bifurcations and Sliding Mode Controller for a Two-Cell DC/DC Buck Converter

Koubaâ¹

2016

Applications of Sliding Mode Control

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Chaos Control of a Chemical Chaotic System via Time-delayed Feedback Control Method

Cited by 8 publications

References 21 publications

Detecting Critical Point of Fractional-Order Chemical System with Synchronization and Application to Image Enhancement Technique

Detecting Critical Point of Fractional-Order Chemical System with Synchronization and Application to Image Enhancement Technique

Parameter identification of fractional-order chaotic system with time delay via multi-selection differential evolution

Sliding Bifurcations and Sliding Mode Controller for a Two-Cell DC/DC Buck Converter

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