Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters

By Mario di Bernardo, F. Vasca. 2000

307 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f49449a73f88fa1f5a86d36fbc71bdde2a5bec4e

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In Control and Systems Engineering

In Electrical and Electronic Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Stability Analysis of Digital-Controlled Single-Phase Inverter With Synchronous Reference Frame Voltage Control (2018, background): “Depending on the mapping points, discrete maps mainly include a stroboscopic map, a synchronous switching map, an asynchronous switching, and a two-by-two map, while the stroboscopic map is the most popular one [41], [42].”
Poincaré maps modeling and local orbital stability analysis of discontinuous piecewise affine periodically driven systems (2007, background): “Moreover, in many systems, the boundaries are periodically moving in the state space [ 10 ] and the vector field may be discontinuous at one or more of the switching boundaries.”
Bilinear discrete-time modeling for enhanced stability prediction and digital control design (2003, methodology): “F, , s, and V. In [ 9 ], it was shown that this converter has a stable periodic operation only when the reference current is less than 0.42 A. Beyond this value, the system undergoes sub-harmonic oscillations and eventually assumes chaotic behavior.”
Bifurcations in piecewise-smooth feedback systems (2002, background): “{ Dipartimento di Informatica e Sistemistica, UniversitaÁ di Napoli Federico II, Napoli 80100, Italy. di Bernardo and Vasca 2000 or Banerjee and Verghese 2001 for a chronological literature review).”
Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter (2002, background): “Most of the work conducted on choppers discusses the evolution of the dynamics when the varied parameter is the supply voltage, the reference current, or the load (Banerjee and Chakrabarty 1998, di Bernardo et al. 1998, di Bernardo and Vasqua 2000).”