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Analysis of Switched Dynamical Systems in Perspective of Bifurcation and Multiobjective Optimization

Ryutaro FUJIKAWA, Tomoyuki TOGAWA, Toshimichi SAITO

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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

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