Matrix Coefficient Polynomial Description Model of DC-DC Converters Based on Switched Linear Systems

Abstract

In this paper, DC-DC converters are viewed as one class of hybrid systems i.e. switched linear systems. A new mathematical model of switched linear systems-matrix coefficient polynomial description model is presented. An obvious description form of the relationship between the continuous variable and discrete variable is built, a new model of switched linear system of DC-DC converters, in which continuous variable and discrete variable interact on each other directly, is given. To some extent, the new model helps to reveal the essence of operation activity and analyze the performance of DC-DC converters. Both the results of steady-state analysis and closed-loop simulation of transient response have verified the validity and practicability of the new model