An Estimation Method for Controlling Unstable Periodic Orbit Without Using Poincaré Map

Abstract

A method for estimating unstable periodic orbits in switched dynamical system is proposed. The proposed method consists of a simple algorithm that does not require numerical calculations such as the Newton method. The proposed method is explained using a switched dynamical system that simulates the switching operation of a current-controlled DC-DC converter as an example, and an application example is shown based on numerical simulation results.