Synopses & Reviews
Systems with delays appear frequently in engineering; typical examples include communication networks, chemical processes and tele-operation systems. The presence of delays makes system analysis and control design much more complicated. During the last decade, we have witnessed significant developments in robust control of time-delay systems. This volume presents a systematic and comprehensive treatment for robust (H-infinity) control of such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same. This synthesis of the author's recent work covers the whole range of robust control of time-delay systems: from controller parameterization and design to controller implementation; from the Nehari and one-block problems to the four-block problem; from theoretical developments to practical issues. The major tools used in this book are similarity transformation, the chain-scattering approach and J-spectral factorization. The idea is, in the words of Albert Einstein, to "make everything as simple as possible, but not simpler". A website associated with the book, is a source of MATLAB® and Simulink® material which will assist in the simulation of the material in the text. Robust Control of Time-delay Systems is self-contained and will interest control theorists, researchers and mathematicians working with time-delay systems and engineers looking to design commercial controllers or to use them in plants, biosystems or communication systems with time delays. Its methodical approach will also be of value to graduates studying either general (robust) control theory or its particular applications in time-delay systems.
Review
From the reviews: The book is composed of 231 pages, an Introduction and two parts. ... This book joins a number of others that have appeared in the past ten years on TDS. ... I found this book very interesting and informative. It contains recent results on robust control for single-input delay systems and will be very useful for Ph.D. students and researchers. IEEE Transactions on Automatic Control 53 (2008) 636 - 637 (Reviewer: Olivier Sename) The book contains many examples that are helpful for readers to gain better understanding of the underlying concepts and key ideas. The book can be a useful reference for researchers and industrial practitioners and can also be used as a text for a post-graduate level course on delay systems. International Journal of Robust and Nonlinear Control 19 (2009) 611 - 612 (Reviewer: Lihua Xie) The aim of this book is to present a systematic and comprehensive treatment of robust control of time-delay systems in the frequency domain... The text is well-written, easy to read and with many examples clarify the theoretical discussions. The book is self-contained and it is useful both for new-comers to the field and for researches and mathematicians who work in the area of control and time-delay systems. Zentralblatt MATH 1119 (2007) (Reviewer: Mihail Megan)
Synopsis
Recently, there have been significant developments in robust control of time-delay systems. This volume presents a systematic treatment of robust control for such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same. The author covers the whole range of H-infinity control of time-delay systems: from controller parameterization implementation; from the Nehari problem to the four-block problem; from theoretical developments to practical issues. The major tools used are similarity transformation, the chain-scattering approach and J-spectral factorization. Self-contained, "Robust Control of Time-delay Systems" will interest control theorists and mathematicians working with time-delay systems. Its methodical approach will be of value to graduates studying general robust control theory or its applications in time-delay systems.
About the Author
Qing-Chang Zhong obtained PhD degrees from Shanghai Jiao Tong University and from Imperial College London. He has been working in the area of time-delay systems for eight years and in the area of systems and control for more than 14 years. He served as a member of the International Program Committee of the 5th IFAC (International Federation of Automatic Control) Workshop on Time-Delay Systems held in Leuven, Belgium in September 2004 and as a member of the Technical Program Committee of the 7th Asia-Pacific Conference on Complex Systems held in Cairns, Australia in December 2004. He will organize the 7th IFAC Workshop on Time-Delay Systems in the UK in 2007. He is currently on the International Editorial Board of the Journal of the Institute of Chinese Engineers. The EPSRC has recently awarded Doctor Zhong a £120,000 grant to further my research in time-delay systems. He is a senior member of the IEEE. Doctor Zhong has an excellent record of publication on this subject in the most important international journals in systems and control, such as IEEE Trans. on Automatic Control (5 papers), Automatica (3) and IEE Proc. Control Theory Appl. (3) etc. He has made major contributions to study of time-delay systems (as attested by the reviewers of this proposal).
Table of Contents
Introduction.- Part I: Controller Design.- Classical Control of Time-delay Systems.- Preliminaries.- J-spectral Factorization of Regular Para-Hermitian Transfer Matrices.- The Delay-type Nehari Problem.- An Extended Nehari Problem.- The Standard H-Infinity Problem.- A Transformed Standard H-Infinity Problem.- 2DoF Controller Parameterization.- Unified Smith Predictor.- Part II: Controller Implementation.- Discrete-delay Implementation of Distributed Delay in Control Laws.- Rational Implementation Inspired from the delta-operator.- Rational Implementation Bases on the Bilinear Transformation.