Overview
- Authors:
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María M. Seron
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Department of Electrical and Computer Engineering, University of Newcastle, Newcastle, Australia
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Julio H. Braslavsky
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Department of Electrical and Computer Engineering, University of Newcastle, Newcastle, Australia
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Graham C. Goodwin
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Department of Electrical and Computer Engineering, University of Newcastle, Newcastle, Australia
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Table of contents (14 chapters)
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Introduction
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 3-21
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Limitations in Linear Control
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 25-46
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 47-84
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 85-117
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 119-133
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 135-159
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Limitations in Linear Filtering
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Front Matter
Pages 161-161
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 163-177
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 179-195
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 197-209
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 211-228
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 229-244
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Limitations in Nonlinear Control and Filtering
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Front Matter
Pages 245-245
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 247-254
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 255-265
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- María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
Pages 267-273
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Back Matter
Pages 275-369
About this book
This book deals with the issue of fundamental limitations in filtering and control system design. This issue lies at the very heart of feedback theory since it reveals what is achievable, and conversely what is not achievable, in feedback systems. The subject has a rich history beginning with the seminal work of Bode during the 1940's and as subsequently published in his well-known book Feedback Amplifier Design (Van Nostrand, 1945). An interesting fact is that, although Bode's book is now fifty years old, it is still extensively quoted. This is supported by a science citation count which remains comparable with the best contemporary texts on control theory. Interpretations of Bode's results in the context of control system design were provided by Horowitz in the 1960's. For example, it has been shown that, for single-input single-output stable open-loop systems having rela tive degree greater than one, the integral of the logarithmic sensitivity with respect to frequency is zero. This result implies, among other things, that a reduction in sensitivity in one frequency band is necessarily accompa nied by an increase of sensitivity in other frequency bands. Although the original results were restricted to open-loop stable systems, they have been subsequently extended to open-loop unstable systems and systems having nonminimum phase zeros.
