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

Ryutaro FUJIKAWA  Tomoyuki TOGAWA  Toshimichi SAITO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   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
multiobjective optimization,  switched dynamical systems,  stability,  bifurcation,  chaos,  maximum power point,  

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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.