%0 Journal Article
%T On Well-posedness of PWM Control System<br>脉宽调制控制系统的适定性
%A FAN Qi-Fu
%A SHI Song-Jiao
%A <br>范启富
%A 施颂椒
%J 自动化学报
%D 2004
%I 
%X 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 solutions of Caratheodory in terms of an analysis based on lexicographic inequalities and the smooth continuation property of solutions. Furthermore, it is clear that when carrier signal h(t) =0, closed loop PWM DC-DC converters are not well-posed and when some condition is satisfied, closed loop PWM DC-DC converters with P controller are well-posed.
%K Piecewise affine systems
%K hybrid systems
%K discontinuous systems
%K well-posedness
%K lexicographic inequalities
%K systems with pulse-width modulator<br>分段仿射系统
%K 混合系统
%K 不连续系统
%K 适定性
%K lexicographic不等式
%K PWM系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=1DE777E0E052DA52&yid=D0E58B75BFD8E51C&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=42425781F0B1C26E&eid=1AE5323881A5ECDC&journal_id=0254-4156&journal_name=自动化学报&referenced_num=2&reference_num=13