© 2000

Robust and H Control


Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ben M. Chen
    Pages 1-18
  3. Ben M. Chen
    Pages 19-56
  4. Ben M. Chen
    Pages 143-175
  5. Ben M. Chen
    Pages 249-267
  6. Ben M. Chen
    Pages 269-286
  7. Ben M. Chen
    Pages 363-380
  8. Ben M. Chen
    Pages 381-405
  9. Back Matter
    Pages 429-446

About this book


H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. Robust and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Constructive algorithms are provided for finding solutions to:

• general singular H-infinity control problems;

• general H-infinity almost disturbance decoupling problems;

• robust and perfect tracking problems.

Theories are also applied to real-life problems with actual implementations. This book can be used for graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It should also be of great value to engineers practising in industry.


Automatic Control Control Control Engineering Control Theory Electronic Engineering H-infinity Control Industrial Engineering Optimal Control Tracking Transformation algorithms chemical engineering electrical engineering electronics mechanical engineering

Authors and affiliations

  1. 1.Department of Electrical EngineeringNational University of SingaporeSingapore

About the authors

Associate Professor Chen's research interests are in linear systems, robust control theory and control applications. He has published 7 monographs. He has served as an Associate Editor of IEEE Transactions on Automatic Control, and Asian Journal of Control. Currently, he is serving as an Associate Editor of Systems and Control Letters, and Control and Intelligent Systems. Before returning to Singapore, Professor Chen worked in the US (New York and Washington State Universites) and in Australia. He lectures on several courses, both undergraduate and graduate.

Bibliographic information

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We summarize that this book is an excellent research reference for insights and proofs pertaining to the geometric approach in H-infinity control. The careful and detailed exposition illustrates the far-reaching potentials of these techniques for a variety of other control problems beyond H-infinity theory. Throughout the book the author chooses an algorithmic style of presenting the sometimes rather intricate constructions in favor of their numerical implementation. Moreover, by splitting the subjects into suboptimality tests, computation of optimal values, controller construction, and almost disturbance decoupling, he renders all these themes accessible for independent investigation… We therefore believe that this book closes a gap in the literature by providing a thorough basis for entering the rich field of applying geometric techniques in H-infinity control.

Automatica 36 (2000) 1247 – 1248 (Reviewer: Carsten Scherer)