Cycle Slipping in Discrete Phase-controlled System

作     者：Lu Pingli,Yang Ying,Huang Lin State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University,Beijing 100871 

会议名称：《第25届中国控制会议》

会议日期：2006年

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：This work is supported by the National Science Foundation of China under Grant 60334030 60404007Foundation of Engineering Research Institute of Peking University under grant 204035 

关 键 词：Cycle Slipping Phase-controlled System Yakubovich-Kalman Lemma LMIs 

摘      要：This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities ( LMIs) , the conditions of estimating the number of slipped cycles are derived. Then dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result,the transient performance of discrete phase-controlled system is improved. A concrete application to impulse phase-locked loop (PLL) shows the applicability and validity of the proposed approach.