Control methods on unstable periodic orbits of a chaotic dynamical system — control chaos in buck converter

Ivan, Cosmin; Șerbănescu, Alexandru

doi:10.1109/optim.2008.4602458

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…Non-feedback methods use perturbations independently of the stage of the system (control in open loop), while feedback methods use perturbations on the basis of knowing the stage of the system (control in closed loop). Methods can be differentiated also by the type of perturbations, i.e., whether they are in continuous time or discrete [38,39].…”

Section: Control Methodsmentioning

confidence: 99%

“…The problem of control, in the case of ideal systems in which there is no noise, is reduced to small disturbances to stabilize the chaotic systems of the UPO, which cease after reaching the desired state. Next, the authors present one of the possible approaches with closed loops to stabilize the unstable periodic orbits [28]. This method relies on perturbing a system variable instead of a control parameter.…”

Section: Control Methodsmentioning

confidence: 99%

“…Next, the authors present one of the possible approaches with closed loops to stabilize the unstable periodic orbits [28]. This method relies on perturbing a system variable instead of a control parameter.…”

Section: The Adaptive Control Of Chaotic Systemsmentioning

confidence: 99%

“…The resonant parametric perturbation method uses the analysis of the bifurcation diagram of the system, which must be controlled as a function of the control parameters [26]. A proposed way that is more accurate is to use an analysis with the RP that can be identified in the periodic states chaotic systems, i.e., an adaptive control method based on the disturbance of a system variable [27,28]. To identify unstable periodic orbits in the time series obtained at the output of the chaotic system, we proposed using the RP analysis method [29].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification-Control Methods of Nonlinear Systems

Ivan

Arva

2022

Electronics

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The main purpose of this paper is to present a solution to the well-known problems generated by classical control methods through the analysis of nonlinear time series. Among the problems analyzed, for which an explanation has been sought for a long time, we list the significant reduction in control power and the identification of unstable periodic orbits (UPOs) in chaotic time series. To accurately identify the type of behavior of complex systems, a new solution is presented that involves a method of two-dimensional representation specific to the graphical point of view, and in particular the recurrence plot (RP). An example of the issue studied is presented by applying the recurrence graph to identify the UPO in a chaotic attractor. To identify a certain type of behavior in the numerical data of chaotic systems, nonlinear time series will be used, as a novelty element, to locate unstable periodic orbits. Another area of use for the theories presented above, following the application of these methods, is related to the control of chaotic dynamical systems by using RP in control techniques. Thus, the authors’ contributions are outlined by using the recurrence graph, which is used to identify the UPO from a chaotic attractor, in the control techniques that modify a system variable. These control techniques are part of the closed loop or feedback strategies that describe control as a function of the current state of the UPO stabilization system. To exemplify the advantages of the methods presented above, the use of the recurrence graph in the control of a buck converter through the application of a phase difference signal was analyzed. The study on the command of a direct current motor using a buck converter shows, through a final concrete application, the advantages of using these analysis methods in controlling dynamic systems.

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Section: Control Methodsmentioning

confidence: 99%

Section: Control Methodsmentioning

confidence: 99%

Section: The Adaptive Control Of Chaotic Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification-Control Methods of Nonlinear Systems

Ivan

Arva

2022

Electronics

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“…Through small perturbations, the unpredictable (undesirable) dynamics transforms into predictable (desirable) behaviour without major changes to the functioning conditions [44].…”

Section: Control Of Chaosmentioning

confidence: 99%

Bifurcation and Chaos in Converter Interfaces in Solar PV Systems-A Review

Subashini¹,

Ramaswamy²

2017

JESTR

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The paper attempts to present a detailed study of the nonlinear phenomena that includes bifurcations, sub-harmonics and chaos in an effort to arrive at the appropriate choice of converter interface suitable for specific PV systems and evolve criterions for their design and control. The resurgence of switching dc-dc converters as power processing units in renewable energy applications appear to open up new perceptions for harnessing energy efficiency. The focus orients to review the modelling techniques used for nonlinear analysis in the different operating modes of the converter and identify the gap in the related domain with special relevance to the converter interfaces in solar PV systems. The exercise incites to explain the forms of bifurcations, the routes to chaos and the associated control techniques for arbitrating its significance in this perspective. The benefits of analysis of nonlinear phenomena in regulatory applications claim a new space in energy processing applications and forge to explore their role as maximum power point (MPP) trackers. The emphasis endeavours to enhance the scope of use of solar energy and offer a fresh dimension to support the clean energy act and perpetuate the desire to enliven a greener world.

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Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification Control Methods of Nonlinear Systems

Ivan

Arva

2021

2021 13th International Conference on Electronics, Computers and Artificial Intelligence (ECAI)

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Control methods on unstable periodic orbits of a chaotic dynamical system — control chaos in buck converter

Cited by 5 publications

References 7 publications

Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification-Control Methods of Nonlinear Systems

Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification-Control Methods of Nonlinear Systems

Bifurcation and Chaos in Converter Interfaces in Solar PV Systems-A Review

Nonlinear Time Series Analysis in Unstable Periodic Orbits Identification Control Methods of Nonlinear Systems

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