Chaotic and subharmonic oscillations in a DC–DC boost converter with PWM voltage–current hybrid controller and parallel MR load

Zhang, Ruiye; Wu, Ai‐Guo; Wang, Zenghui; Cang, Shijian

doi:10.1007/s11071-019-05357-z

Cited by 12 publications

(8 citation statements)

References 48 publications

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“…For years, many models and control techniques are proposed to analyze and to master the power converter complex behaviors. Indeed, many methods to analyze and control bifurcations and chaos in converters like boost, buck, buck–boost, and other systems that suffer from these undesirable, complex, and abnormal behaviors are reported in other studies 4‐10 …”

Section: Introductionmentioning

confidence: 99%

Backstepping global and structural stabilization of direct current/direct current boost converter

Madni

Guesmi

Benalia

2022

Circuit Theory & Apps

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Summary This paper deals with the stabilization of direct current/direct current (DC/DC) boost converter and the nonlinear phenomena elimination using a constrained backstepping technique. Based on the converter averaged model, the proposed control approach is designed and the input to state stability concept is used to prove the system global stability. Furthermore, the structural stability is proven to show the efficiency of the proposed approach to suppress the nonlinear phenomena exhibited by the converter. The simulation results illustrate the different stability regions of the system as functions of the controller and the system parameters. The bifurcation diagrams are used to show the effectiveness of the proposed approach in terms of nonlinear phenomena suppression in wide regions of the system operating domains.

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Section: Introductionmentioning

confidence: 99%

Backstepping global and structural stabilization of direct current/direct current boost converter

Madni

Guesmi

Benalia

2022

Circuit Theory & Apps

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“…Theory of piecewise-smooth maps has attracted the interest of many researchers lately to analyze the non-linear dynamics of various types of systems. These systems are from different fields like power electronics and drives [1][2][3][4][5] bio sciences [6][7][8][9] finance [10][11][12], analysis of relaxation oscillators in planar fast-slow systems [13] to name the few. Analysis of 1-D linear piecewisesmooth discontinuous (LPSD) map has been the focus point and given special attention by the researchers in recent years due to the inherent rich dynamics in it even though the underlying map equation is very simple [14].…”

Section: Introductionmentioning

confidence: 99%

Analysis of atypical orbits in one dimensional linear piecewise-smooth discontinuous map

Metri

Rajpathak

Pillai

2022

Preprint

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In this paper, boundary regions of 1-D linear piecewise-smooth discontinuous map are examined analytically. It is shown that, under certain parameter conditions, the map exhibits atypical orbits like a continuum of periodic orbits and quasi-periodic orbits. Further, we have derived the conditions under which such phenomena occurs. The paper also illustrate that there exists a specific parameter region in which as parameter is varied, there is a smooth transition from stable to unstable periodic orbits. Moreover, we have derived the expression for the value of parameter at which this transition from stable to unstable periodic orbits occurs. Additionally, the dynamics that exist at this value of parameter is also found out.Mathematics Subject Classification (2020) 39A23 · 39A28 · 39A33

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“…Chaotic systems are deterministic, nonlinear, and very sensitive to the initial condition. Accordingly, long-term prediction of chaotic systems becomes impossible, on the other hand, they are controllable systems [17][18][19]. While, the change in specific behavior of the system is known as a bifurcation [19,20].…”

Section: Introductionmentioning

confidence: 99%

Period-doubling bifurcation analysis and chaos control for load torque using FLC

Moustafa

Sobaih

Abozalam

et al. 2021

Complex Intell. Syst.

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Chaotic phenomena are observed in several practical and scientific fields; however, the chaos is harmful to systems as they can lead them to be unstable. Consequently, the purpose of this study is to analyze the bifurcation of permanent magnet direct current (PMDC) motor and develop a controller that can suppress chaotic behavior resulted from parameter variation such as the loading effect. The nonlinear behaviors of PMDC motors were investigated by time-domain waveform, phase portrait, and Floquet theory. By varying the load torque, a period-doubling bifurcation appeared which in turn led to chaotic behavior in the system. So, a fuzzy logic controller and developing the Floquet theory techniques are applied to eliminate the bifurcation and the chaos effects. The controller is used to enhance the performance of the system by getting a faster response without overshoot or oscillation, moreover, tends to reduce the steady-state error while maintaining its stability. The simulation results emphasize that fuzzy control provides better performance than that obtained from the other controller.

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Chaotic and subharmonic oscillations in a DC–DC boost converter with PWM voltage–current hybrid controller and parallel MR load

Cited by 12 publications

References 48 publications

Backstepping global and structural stabilization of direct current/direct current boost converter

Backstepping global and structural stabilization of direct current/direct current boost converter

Analysis of atypical orbits in one dimensional linear piecewise-smooth discontinuous map

Period-doubling bifurcation analysis and chaos control for load torque using FLC

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