Analysis of Switched Dynamical Systems in Perspective of Bifurcation and Multiobjective Optimization
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.2 pp.525-531
- Publication Date
- 2021/02/01
- Publicized
- 2020/08/06
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAP1033
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Ryutaro FUJIKAWA
the Hosei University
Tomoyuki TOGAWA
the Hosei University
Toshimichi SAITO
the Hosei University
Keyword
Latest Issue
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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},}
Copy
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 -
English
