State and Output Feedback Regularization for Descriptor Systems by Kalman Canonical Form
作者单位：Department of Fundamental Sciences Shenyang Institute of Engineering School of Electrical Engineering and Automation Tianjin University
会议名称：《第25届中国控制与决策会议》
主办单位：IEEE;NE Univ;IEEE Ind Elect Chapter;IEEE Harbin Sect Control Syst Soc Chapter;Guizhou Univ;IEEE Control Syst Soc;Syst Engn Soc China;Chinese Assoc Artificial Intelligence;Chinese Assoc Automat;Tech Comm Control Theory;Chinese Assoc Aeronaut;Automat Control Soc;Chinese Assoc Syst Simulat;Simulat Methods & Modeling Soc;Intelligent Control & Management Soc
会议日期：2013年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：partly supported by National Natural Science Foundation under Grant 61074088
关 键 词：Descriptor systems regularization proportional-derivative (P-D) feedback Kalman canonical form
摘 要：The problem of state and output feedback regularization for descriptor systems by Kalman canonical form is investigated. First we give the Kalman canonical form for the descriptor systems, by which structure, the regularization and the impulsive mode elimination can be conveniently explored. Then necessary and sufficient conditions are given for the closed loop system to be regular and impulse-free by a parameterized state or output feedbacks. Furthermore, a structured output P-D feedback is considered and a necessary and sufficient condition for the closed loop systems to be regular and impulse-free by the structured output P-D feedback control is presented. The main results are given in terms of subsystem parameters by the Kalman canonical form, in which the structure of system matrix is revealed. Finally, an example is provided to illustrate the correctness of the theory.