Experimental study of controlling chaos in a DC–DC boost converter

Natsheh, Ammar; Kettleborough, J.G.; Janson, Natalia B.

doi:10.1016/j.chaos.2007.10.048

Cited by 14 publications

(17 citation statements)

References 10 publications

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“…The butterfly effect says that if we make small change in any of the state variable of system then it is impossible to predict the final outcome of system i.e. small variation can become a large diversion [19]. Bifurcation phenomenon has two types, first is smooth bifurcation phenomenon and other is border collision bifurcation phenomenon [7,20].…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

“…Each of the bifurcations may give rise to a distinct route to chaos if the bifurcations appear repeatedly upon changing the bifurcation parameter [21]. In the state control space, the place at which bifurcations occur are called bifurcation points [19]. Many times, it is possible to predict the system stability with the help of equilibrium, periodic, quasi-periodic, and chaotic behaviors of bifurcations diagrams.…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

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Investigation of Nonlinear Dynamics in the Boost Converter: Effect of Capacitance Variations

T.D¹

2015

IJCSA

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The electronic domain is highly nonlinear, hence it is valuable to study the nonlinear effect particularly the chaos and bifurcation. The present paper deals with the simulative analysis of nonlinear dynamics in the boost converter with the help of bifurcation diagrams. In this brief communication, the current through inductor (I L) was considered as state variable and reference current (I REF) was considered as a controlled variable. The capacitor value was varied from 1µf to 50µf while the other parameter was kept unaltered. It was observed that, as the value of capacitor was increased, the corresponding period-1 bifurcation, period-2 bifurcations, and period-3 bifurcations points were shifted in incremental order. It was also observed that period-2 bifurcations, and period-3 bifurcations points were vanished with an increasing capacitor value (C) and supply voltage (V IN).

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Section: Nonlinear Dynamicsmentioning

confidence: 99%

Section: Nonlinear Dynamicsmentioning

confidence: 99%

Investigation of Nonlinear Dynamics in the Boost Converter: Effect of Capacitance Variations

T.D¹

2015

IJCSA

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“…As the method to solve this problem, stabilization of the UPOs embedded in chaos by applying a small control input has been well studied from the theoretical and experimental standpoints. [20][21][22] In these days, Tse et al 23 and Tse and Lai 24 have suggested the method to stabilize UPOs in the system by adding an external small perturbation on the threshold value of the current-programmed DC/DC converter. For example, Ott et al proposed a method targeting discrete-time dynamical systems, 7 and Pyragas proposed the delayed feedback control dealing with continuous-time dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

“…17,19 Because these circuits have been well used in practical industrial purpose, developing the method to control chaos in the systems is important, and indeed, several controlling methods have been experimentally studied. [20][21][22] In these days, Tse et al 23 and Tse and Lai 24 have suggested the method to stabilize UPOs in the system by adding an external small perturbation on the threshold value of the current-programmed DC/DC converter. Based on this study, Asahara et al 25 have mathematically proved the mechanism of the stabilization method with replacing the Tse's system by a switched circuit and deriving the one-dimensional map.…”

Section: Introductionmentioning

confidence: 99%

A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold

Miino

Ito

Asahara

et al. 2018

Circuit Theory & Apps

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In the previous study, a method to control chaos for switched dynamical systems with constant threshold value has been proposed. In this paper, we extend this method to the systems including a periodically moving threshold. The main control scheme is based on the pole placement; then, a small control perturbation added to the moving threshold value can stabilize an unstable periodic orbit embedded within a chaotic attractor. For an arbitrary periodic function of the threshold movement, we mathematically derive the variational equations, the state feedback parameters, and a control gain by composing a suitable Poincaré map. As examples, we illustrate control implementations for systems with thresholds whose movement waveforms are sinusoidal and sawtooth-shape, and unstable one and two periodic orbits in each circuit are stabilized in numerical and circuit experiments. In these experiments, we confirm enough convergence of the control input.

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“…This dynamic behaviour exhibited by any converter varies for different control strategies and has been reported widely. Non-linear behaviour and chaotic evolutions of voltage-mode controlled buck converter [1][2][3][4][5], current-mode controlled boost converter [6][7][8][9] etc., have been studied extensively. Recently, realising the practical importance of power factor correction (PFC) AC-DC converters, an increasing interest has also been gained in the non-linear studies of these converters [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Period‐bubbling and mode‐locking instabilities in a full‐bridge DC–AC buck inverter

Shankar

Uma

Karunakaran

2013

IET Power Electronics

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In this study, the non-linear dynamics of a full bridge DC-AC inverter controlled by fixed frequency pulse-width modulation which is widely used in solar energy systems is investigated. The main results are illustrated with the aid of time domain simulations obtained from an accurate non-linear time varying model of the system derived without making any quasi-static approximation. Results reveal that for high filter time-constants, the system loses stability via Hopf bifurcation and exhibits mode-locked periodic motion and for low filter time-constants, via period-doubling bifurcation resulting in period-bubbling structures and intermittent chaos. The mode-locked instability is also theoretically verified using Jacobian matrix derived from an averaged model and that of period-bubbling instability is verified using monodromy matrix based on Filippov's method of differential inclusions. Furthermore, extensive analyses are performed to study the mechanism of the emergence of intermittency and remerging chaotic band attractors (or Feigenbaum sequences) for variation in filter parameters and to demarcate the bifurcation boundaries. Phase portraits and Poincaré sections before and after the bifurcations are shown. Experimental results are also provided to confirm the observed bifurcation scenario.

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Experimental study of controlling chaos in a DC–DC boost converter

Cited by 14 publications

References 10 publications

Investigation of Nonlinear Dynamics in the Boost Converter: Effect of Capacitance Variations

Investigation of Nonlinear Dynamics in the Boost Converter: Effect of Capacitance Variations

A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold

Period‐bubbling and mode‐locking instabilities in a full‐bridge DC–AC buck inverter

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