多步观测时滞的控制  

H∞ Control with Multiple Delays in Measurements

作　　者：刘梅  张焕水  段广仁  

机构地区：[1]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001,Shenzhen Graduate School of Harbin Institute of Technology, HIT Campus Shenzhen University Town, Shenzhen 518055 [2]Shenzhen Graduate School of Harbin Institute of Technology, HIT Campus Shenzhen University Town, Shenzhen 518055 [3]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001

出　　处：《自动化学报》2005年第6期956-959,共4页Acta Automatica Sinica

基　　金：国家自然科学基金，National Outstanding Youth Science Foundation of P.R.China

摘　　要：Based on an innovation analysis method in the Krein space, a sufficient and necessary condition is given for the existence of the solution of H∞ control problem for a linear continuoustime system with multiple delays. By introducing a re-organized innovation sequence, the H∞ control problem with delayed measurements is converted into a linear quadratic (LQ) problem and a delayfree H2 estimation problem in the Krein space. The controller is given in terms of two forward Riccati equations and a backward Riccati equation.Based on an innovation analysis method in the Krein space, a sufficient and necessary condition is given for the existence of the solution of Hoe control problem for a linear continuoustime system with multiple delays. By introducing a re-organized innovation sequence, the Hoe control problem with delayed measurements is converted into a linear quadratic （LQ） problem and a delayfree H2 estimation problem in the Krein space. The controller is given in terms of two forward Riccati equations and a backward Riccati equation.

关 键 词：H∞控制 时滞系统 时间连续系统 时间测量 向量矩阵 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]