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多步观测时滞的控制
引用本文:刘梅,张焕水,段广仁.多步观测时滞的控制[J].自动化学报,2005,31(6):956-959.
作者姓名:刘梅  张焕水  段广仁
作者单位:1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001
基金项目:Supported by National Natural Science Foundation of P. R. China (60174017), National Outstanding Youth Science Foundation of P. R. China (69925308)
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 H1 control problem for a linear continuous-time system with multiple delays. By introducing a re-organized innovation sequence, the H1 control problem with delayed measurements is converted into a linear quadratic (LQ) problem and a delay-free 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:Continuous-time  systems    H1  control    re-organized  innovation  analysis    multiple  time  delays
收稿时间:2005-03-10
修稿时间:2005-07-11

H1 Control with Multiple Delays in Measurements
LIU Mei,ZHANG Huan-Shui,DUAN Guang-Ren.H1 Control with Multiple Delays in Measurements[J].Acta Automatica Sinica,2005,31(6):956-959.
Authors:LIU Mei  ZHANG Huan-Shui  DUAN Guang-Ren
Affiliation:1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001
Abstract:Based on an innovation analysis method in the Krein space, a sufficient and necessary condition is given for the existence of the solution of H1 control problem for a linear continuous-time system with multiple delays. By introducing a re-organized innovation sequence, the H1 control problem with delayed measurements is converted into a linear quadratic (LQ) problem and a delay-free H2 estimation problem in the Krein space. The controller is given in terms of two forward Riccati equations and a backward Riccati equation.
Keywords:Continuous-time systems  H1 control  re-organized innovation analysis  multiple time delays
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