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Author Wu, Min, 1974-

Title Stability analysis and robust control of time-delay systems / Min Wu, Yong He, Jin-Hua She
Published Heidelberg ; New York : Springer ; Beijing : Science Press Beijing, [2010]
©2010
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Description 1 online resource (xvi, 336 pages) : illustrations
Contents Cover13; -- Title page13; -- Copyright Page -- Preface -- Table of Contents -- Abbreviations -- Symbols -- Chapter 1. Introduction -- 1.1 Review of Stability Analysis for Time-Delay Systems -- Model transformation I -- Model transformation II -- Model transformation III -- Model transformation IV -- 1.2 Introduction to FWMs -- 1.3 Outline of This Book -- References -- Chapter 2. Preliminaries -- 2.1 Lyapunov Stability and Basic Theorems -- 2.1.1 Types of Stability -- 2.1.2 Lyapunov Stability Theorems -- 2.2 Stability of Time-Delay Systems -- 2.2.1 Stability-Related Topics -- 2.2.2 Lyapunov-Krasovskii Stability Theorem -- 2.2.3 Razumikhin Stability Theorem -- 2.3 H8734; Norm -- 2.3.1 Norm -- 2.3.2 H8734; Norm -- 2.4 H8734; Control -- 2.5 LMI Method -- 2.5.1 Common Specifications of LMIs -- 2.5.2 Standard LMI Problems -- 2.6 Lemmas -- 2.7 Conclusion -- References -- Chapter 3. Stability of Systems with Time-Varying Delay -- 3.1 Problem Formulation -- 3.2 Stability of Nominal System -- 3.2.1 Replacing the Term x(t) -- 3.2.2 Retaining the Term x(t) -- 3.2.3 Equivalence Analysis -- 3.3 Stability of Systems with Time-Varying Structured Uncertainties -- 3.3.1 Robust Stability Analysis -- 3.3.2 Numerical Example -- 3.4 Stability of Systems with Polytopic-Type Uncertainties -- 3.4.1 Robust Stability Analysis -- 3.4.2 Numerical Example -- 3.5 IFWM Approach -- 3.5.1 Retaining Useful Terms -- 3.5.2 Further Investigation -- 3.5.3 Numerical Examples -- 3.6 Conclusion -- References -- Chapter 4. Stability of Systems with Multiple Delays -- 4.1 Problem Formulation -- 4.2 Two Delays -- 4.2.1 Nominal Systems -- 4.2.2 Equivalence Analysis -- 4.2.3 Systems with Time-Varying Structured Uncertainties -- 4.2.4 Numerical Examples -- 4.3 Multiple Delays -- 4.4 Conclusion -- References -- Chapter 5. Stability of Neutral Systems -- 5.1 Neutral Systems with Time-Varying Discrete Delay -- 5.1.1 Problem Formulation -- 5.1.2 Nominal Systems -- 5.1.3 Systems with Time-Varying Structured Uncertainties -- 5.1.4 Numerical Example -- 5.2 Neutral Systems with Identical Discrete and Neutral Delays -- 5.2.1 FWM Approach -- 5.2.2 FWM Approach in Combination with Parameterized Model Transformation -- 5.2.3 FWM Approach in Combination with Augmented Lyapunov- Krasovskii Functional -- 5.2.4 Numerical Examples -- 5.3 Neutral Systems with Different Discrete and Neutral Delays -- 5.3.1 Nominal Systems -- 5.3.2 Equivalence Analysis -- 5.3.3 Systems with Time-Varying Structured Uncertainties -- 5.3.4 Numerical Example -- 5.4 Conclusion -- References -- Chapter 6. Stabilization of Systems with Time-Varying Delay -- 6.1 Problem Formulation -- 6.2 Iterative Nonlinear Minimization Algorithm -- 6.3 Parameter-Tuning Method -- 6.4 Completely LMI-Based Design Method -- 6.5 Numerical Example -- 6.6 Conclusion -- References -- Chapter 7. Stability and Stabilization of Discrete-Time Systems with Time-Varying Delay -- 7.1 Problem Formulation -- 7.2 Stability Analysis -- 7.3 Controller Design -- 7.3.1 SOF Controller -- 7.3.2 DOF Controller -- 7.4 Numerical Examples -- 7.5 Conclusion -- References -- Chapter 8. H8734; Control Design for Systems with Time-Varying Delay -- 8.1 Problem Formulation
Summary "Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering. Prof. Min Wu, senior member of the IEEE, works at the Central South University, China
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Time delay systems.
Robust control.
Stability.
Form Electronic book
Author He, Yong.
She, Jin-Hua.
LC no. 2009942249
ISBN 1282982745
3642030378 (electronic bk.)
9781282982741
9783642030376 (electronic bk.)
(hardcover ; alk. paper)
(Science Press)