Optimal Sampled-Data Control Systems
Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H-infinity optimization. The fact that most new industrial controllers are digital provides strong motivation for adapting or e
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Communications and Control Engineering Series Editors: B.W. Dickinson· A. Fettweis· J.L. Massey· J.W. Modestino
B.D. Sontag· M. Thoma
CCBS published tides include: Sampled-Data Control Systems J. Ackermann Interactive System Identification T.Bohlin The Riccatti Equation S. Bittanti, A.J. Laub and J.C. Willems (Eds.) Nonlinear Control Systems A.Isidori Analysis and Design of Stream Ciphers R.A. Rueppel Sliding Modes in Control Optimization V.I. Utkin Fundamentals of Robotics M. Vukobratovic Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects M. Gevers and G. Li Parallel Algorithms for Optimal Control of Large Scale Linear Systems Zoran GajiC and Xuemin Shen Loop Transfer Recovery: Analysis and Design A. Saberi, B.M. Chen and P. Sannuti Markov Chains and Stochastic Stability S.P. Meyn and R.L. Tweedie Robust Control: Systems with Uncertain Physical Parameters J. Ackermann in co-operation with A. Bartlett, D. Kaesbauer, W. Sienel and R. Steinhauser Optimization and Dynamical Systems
u. Helmke and J.B. Moore
Tongwen Chen and Bruce Francis
Optimal Sampled-Data Control Systems
With 222 Figures
Springer London Berlin Heidelberg New York Paris Tokyo Hong Kong Barcelona Budapest
Tongwen Chen, PhD Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alberta, Canada T2.N IN4 Bruce Allen Francis, PhD Department of Electrical and Computer Engineering. University of Toronto, Toronto, Ontario, Canada MSS IA4
ISBN-13:978-1-4471-3039-0 DOl: 10.1007/978-1-4471-3037-6
e-ISBN-13:978-1-4471-30 37-6
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© Springer-Verlag London Limited 1995 Softcover reprint of the hardcover 1st edition 1995 The publisher makes no representation. express or implied. with regard to the accuracy of the information contained in this book and cannot accept any legal respolUibility or liability for any errors or omissions that may be made. Typesetting: Camera ready by authors 6913830-543210 Printed on acid-free paper
To Ming and Jingwen, Jessie and Lian
Preface Many techniques are available for designing linear multivariable analog controllers: pole placement using observer-based controllers, loopshaping, the inverse Nyquist array method, convex optimization in controller parameter space, and so on. One class of techniques is to specify a performance function and then optimize it, and one such performance function is the norm of the closed-loop transf
