On the Optimal Controller for LTV Measurement Feedback Control Problem

作     者：Ting GONG Yu Feng LU 

作者机构：School of Mathematical Sciences Dalian University of Technology Liaoning 116024 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第3期

页      面：393-401页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10971020) 

主　　题：LTV systems nest algebra control optimal controller duality. 

摘      要：In this paper,we consider the measurement feedback control problem for discrete linear time-varying systems within the framework of nest algebra consisting of causal and bounded linear *** on the inner-outer factorization of operators,we reduce the control problem to a distance from a certain operator to a special subspace of a nest algebra and show the existence of the optimal LTV controller in two different ways：one via the characteristic of the subspace in question directly,the other via the duality *** latter also gives a new formula for computing the optimal cost.