Control and Estimation of Systems with Input/Output Delays

Professor Lihua Xie, Professor Huanshui Zhang (auth.)3-540-71118-X, 978-3-540-71118-6

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.

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Table of contents :
Front Matter….Pages I-XII
Krein Space….Pages 1-6
Optimal Estimation for Systems with Measurement Delays….Pages 7-26
Optimal Control for Systems with Input/Output Delays….Pages 27-51
H ∞ Estimation for Discrete-Time Systems with Measurement Delays….Pages 53-85
H ∞ Control for Discrete-Time Systems with Multiple Input Delays….Pages 87-113
Linear Estimation for Continuous-Time Systems with Measurement Delays….Pages 115-141
H ∞ Estimation for Systems with Multiple State and Measurement Delays….Pages 143-162
Optimal and H ∞ Control of Continuous-Time Systems with Input/Output Delays….Pages 163-203
Back Matter….Pages 205-213