The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cet article étudie une nouvelle approche de l'analyse des systèmes dynamiques commutés dans la perspective de la bifurcation et de l'optimisation multiobjectif. Dans un premier temps, nous analysons un système dynamique commuté simple basé sur un convertisseur boost avec entrée photovoltaïque. Premièrement, dans la perspective d’un phénomène de bifurcation, nous considérons des ensembles de bifurcations à période double dans l’espace des paramètres. Deuxièmement, dans une perspective d’optimisation multiobjectif, nous considérons un compromis entre la puissance d’entrée maximale et la stabilité. Le compromis est représenté par un front de Pareto dans l’espace objectif. En effectuant des expériences numériques, la relation entre les ensembles de bifurcations et le front de Pareto est étudiée.
Ryutaro FUJIKAWA
the Hosei University
Tomoyuki TOGAWA
the Hosei University
Toshimichi SAITO
the Hosei University
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Ryutaro FUJIKAWA, Tomoyuki TOGAWA, Toshimichi SAITO, "Analysis of Switched Dynamical Systems in Perspective of Bifurcation and Multiobjective Optimization" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 2, pp. 525-531, February 2021, doi: 10.1587/transfun.2020EAP1033.
Abstract: This paper studies a novel approach to analysis of switched dynamical systems in perspective of bifurcation and multiobjective optimization. As a first step, we analyze a simple switched dynamical system based on a boost converter with photovoltaic input. First, in a bifurcation phenomenon perspective, we consider period doubling bifurcation sets in the parameter space. Second, in a multiobjective optimization perspective, we consider a trade-off between maximum input power and stability. The trade-off is represented by a Pareto front in the objective space. Performing numerical experiments, relationship between the bifurcation sets and the Pareto front is investigated.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAP1033/_p
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@ARTICLE{e104-a_2_525,
author={Ryutaro FUJIKAWA, Tomoyuki TOGAWA, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Switched Dynamical Systems in Perspective of Bifurcation and Multiobjective Optimization},
year={2021},
volume={E104-A},
number={2},
pages={525-531},
abstract={This paper studies a novel approach to analysis of switched dynamical systems in perspective of bifurcation and multiobjective optimization. As a first step, we analyze a simple switched dynamical system based on a boost converter with photovoltaic input. First, in a bifurcation phenomenon perspective, we consider period doubling bifurcation sets in the parameter space. Second, in a multiobjective optimization perspective, we consider a trade-off between maximum input power and stability. The trade-off is represented by a Pareto front in the objective space. Performing numerical experiments, relationship between the bifurcation sets and the Pareto front is investigated.},
keywords={},
doi={10.1587/transfun.2020EAP1033},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Analysis of Switched Dynamical Systems in Perspective of Bifurcation and Multiobjective Optimization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 525
EP - 531
AU - Ryutaro FUJIKAWA
AU - Tomoyuki TOGAWA
AU - Toshimichi SAITO
PY - 2021
DO - 10.1587/transfun.2020EAP1033
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2021
AB - This paper studies a novel approach to analysis of switched dynamical systems in perspective of bifurcation and multiobjective optimization. As a first step, we analyze a simple switched dynamical system based on a boost converter with photovoltaic input. First, in a bifurcation phenomenon perspective, we consider period doubling bifurcation sets in the parameter space. Second, in a multiobjective optimization perspective, we consider a trade-off between maximum input power and stability. The trade-off is represented by a Pareto front in the objective space. Performing numerical experiments, relationship between the bifurcation sets and the Pareto front is investigated.
ER -