Control and Estimation of Systems with Input/Output Delays

丛 书 名：Lecture Notes in Control and Information Sciences

版本说明：2007

作     者：Huanshui Zhang Lihua Xie 

I S B N：(纸本) 9783540711186 

出 版 社：Springer Berlin Heidelberg 

出 版 年：2007年

页      数：xii, 213 p. :页

主 题 词：Kalman filtering. H2 control. Time delay systems. Automatic control. 

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 080201[工学-机械制造及其自动化] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

摘      要：Time delays exist in many engineering systems such as transportation, communication, process engineering and networked control systems. In recent years, time delay systems have attracted recurring interests from research community. Much of the effort has been focused on stability analysis and stabilization of time delay systems using the so-called Lyapunov-Krasovskii functional together with a linear matrix inequality approach, which provides an efficient numerical tool for handling systems with delays in state and/or inputs. Recently, some more interesting and fundamental development for systems with input/output (i/o) delays has been made using time domain or frequency domain approaches. These approaches lead to analytical solutions to time delay problems in terms of Riccati equations or spectral factorizations. This monograph presents simple analytical solutions to control and estimation problems for systems with multiple i/o delays via elementary tools such as projection. We propose a re-organized innovation analysis approach for delay systems and establish a duality between optimal control of systems with multiple input delays and smoothing estimation for delay free systems. These appealing new techniques are applied to solve control and estimation problems for systems with multiple i/o delays and state delays under both the H2 and H-infinity performance criteria.