Synopses & Reviews
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.
The theory presented in the earlier chapters of the text are also subsequently applied to real-life problems with actual implementations: gyro-stabilized mirror targeting; hard-disk-drive servo control and control of a piezoelectric actuator.
Robust and H-infinity Control can be used for graduate courses in robust control and as a reference for academic researchers; the reader should have completed first-year graduate courses in linear systems and multivariable control. It will also be of great value to engineers practising in the process, electronics and aerospace industries.
Review
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)
Synopsis
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.
The theory presented in the earlier chapters of the text are also subsequently applied to real-life problems with actual implementations: gyro-stabilized mirror targeting; hard-disk-drive servo control and control of a piezoelectric actuator.
Robust and H-infinity Control can be used for graduate courses in robust control and as a reference for academic researchers; the reader should have completed first-year graduate courses in linear systems and multivariable control. It will also be of great value to engineers practising in the process, electronics and aerospace industries.
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Synopsis
H-infinity control theory deals with the minimization of the
H-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. This comprehensive book examines both the theoretical and practical aspects of
H-infinity control from the angle of the structural properties of linear systems.
About the Author
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.
Table of Contents
Introduction.- Linear System Tools.- Structural Mappings of Bilinear Transformations.- Existence Conditions of H-infinity Suboptimal Controllers.- Solutions to Discrete-time Riccati Equations.- Infima in Continuous-time H-infinity Optimization.- Solutions to Continuous-time H-infinity Problem.- Continuous-time H-infinity Almost Disturbance Decoupling.- Robust and Perfect Tracking of Continuous-time Systems.- Infima in Discrete-time H-infinity Optimization.- Solutions to Discrete-time H-infinity Problem.- Discrete-time H-infinity Almost Disturbance Decoupling.- Robust and Perfect Tracking of Discrete-time Systems.- Design of a Hard Disk Drive Servo System.- Design of a Piezoelectric Actuator System.- Design of a Gyro-stabilized Mirror Targeting System.