Pole assignment in descriptor periodic systems

作     者：FAN Hung-Yuan~1 LIN Wen-Wei~1 & XU Shufang~2 1. Department of Mathematics,Tsing Hua University,Hsinchu 30043,China 2. LMAM,School of Mathematical Sciences,Peking University,Beijing 100871,China 

作者机构：Department of Mathematics Tsing Hua University Hsinchu China LMAM School of Mathematical Sciences Peking University Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第10期

页      面：1309-1332页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：National Center for Theoretical Sciences NCTS 

主　　题：descriptor linear periodic system, pole assignment, proportional and derivative feedback, numerical method, periodic Schur decomposition. 

摘      要：In this paper a pole assignment problem is considered for the descriptor linear discrete-time periodic systems, which is using the periodic proportional-derivative feedback to modify a given system such that the closed loop system has a specified selfconjugate set of eigenvalues. It is shown that the complete reachability of an open loop periodic system is equivalent to the possibility of assigning an arbitrary set of the eigenvalues to the system by choosing the suitable periodic proportional-derivative feedback.A computational approach is also proposed to solve the problem, which uses the reliable numerical techniques based on the orthogonal transformations. Numerical examples are presented to illustrate the effectiveness of the proposed approach.