Frontiers of Electrical and Electronic Engineering >

2006 , Vol. 1 >Issue 1: 105 - 110

DOI: https://doi.org/10.1007/s11460-005-0018-4

On the Well-posedness of the PWM Control System

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  • Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China;

Published date: 05 Mar 2006

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Abstract

One of the basic issues in the study of hybrid systems is the well-posedness (existence and uniqueness of solutions) problem of discontinuous dynamical systems. This paper addresses this problem for a class of piecewise affine discontinuous systems with affine inequalities such as systems with pulse-width modulator under the definition of Carath?odory solutions in terms of an analysis based on lexicographic inequalities and the smooth continuation property of solutions. Furthermore, it is clear that when carrier signalh (t)=0, closed-loop pulse-width modulation (PWM) DC DC converters are not well posed, and when some condition is satisfied, the closed-loop PWM DC DC converters with a P controller are well posed.

Cite this article

FAN Qi-fu, SHI Song-jiao . On the Well-posedness of the PWM Control System[J]. Frontiers of Electrical and Electronic Engineering, 2006 , 1(1) : 105 -110 . DOI: 10.1007/s11460-005-0018-4

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