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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
Publication Date: 2021/02/01
Online ISSN: 1745-1337
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.