Conditions to Control Chaotic Dynamics by Weak Periodic Perturbation

Hsu, R.; Su, H.; Chern, Jyh–Long; Chen, Chia Chu

doi:10.1103/physrevlett.78.2936

Cited by 20 publications

(6 citation statements)

References 15 publications

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“…Ramesh & Narayanan (1999) investigated (numerically) different schemes of nonfeedback excitation in the presence of noise. In Hsu et al (1997) and Mettin (1998), similar results for the discrete-time case were obtained.…”

Section: Methods Of Chaos Controlsupporting

confidence: 70%

Control of chaos: methods and applications in mechanics

Fradkov

Evans

Andrievsky

2006

Phil. Trans. R. Soc. A.

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A survey of the field related to control of chaotic systems is presented. Several major branches of research that are discussed are feed-forward ('non-feedback') control (based on periodic excitation of the system), the 'Ott-Grebogi-Yorke method' (based on the linearization of the Poincaré map), the 'Pyragas method' (based on a time-delayed feedback), traditional for control-engineering methods including linear, nonlinear and adaptive control. Other areas of research such as control of distributed (spatio-temporal and delayed) systems, chaotic mixing are outlined. Applications to control of chaotic mechanical systems are discussed.

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Section: Methods Of Chaos Controlsupporting

confidence: 70%

Control of chaos: methods and applications in mechanics

Fradkov

Evans

Andrievsky

2006

Phil. Trans. R. Soc. A.

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“…Though there are some successful numerical and experimental demonstrations of the BG method [3]- [5], the periodicity and the stability condition of the targeted stable state was not identified analytically until recently [6]. If one considers a generic one-dimensional chaotic map under the influence of a periodic perturbation,…”

mentioning

confidence: 99%

“…Even though, the analysis is presented in an elegant mathematical form in the reference [6]. Providing a more intuitive picture to illustrate how a chaotic system can be controlled by weak periodic perturbation is still a worthwhile effort.…”

mentioning

confidence: 99%

Master-slave scheme and controlling chaos in the Braiman-Goldhirsch method

Chen

Hsu

1999

Phys. Rev. E

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“…The application of weak periodic perturbation method is to control chaos has been discussed which eliminates the need of feedback control circuitry. The results of simulation and experiments are discussed to show the effectiveness of control technique in limiting the chaos in DC-DC converters [7]- [8].…”

Section: Introductionmentioning

confidence: 99%

Periodic Perturbation Method for Controlling Chaos for a Positive Output DC-DC Luo Converter

Balamurugan¹,

Kavitha²,

Sanjeevikumar³

et al. 2017

IJPEDS

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A simple, non-feedback method of controlling chaos is implemented for a DC-DC converter. The weak periodic perturbation (WPP) is the control technique applied to stabilize an unstable orbit in a current-mode controlled Positive Output Luo (POL) DC-DC converter operating in a chaotic regime. With WPP, the operation of the converter is limited to stable period-1 orbit that exists in the original chaotic attractor. The proposed control strategy is implemented using simulations and the results are verified with hardware setup. The experimental results of the converter with WPP control are presented which shows the effectiveness of the control strategy.

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Conditions to Control Chaotic Dynamics by Weak Periodic Perturbation

Cited by 20 publications

References 15 publications

Control of chaos: methods and applications in mechanics

Control of chaos: methods and applications in mechanics

Master-slave scheme and controlling chaos in the Braiman-Goldhirsch method

Periodic Perturbation Method for Controlling Chaos for a Positive Output DC-DC Luo Converter

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