Ebook: Fundamental Limitations in Filtering and Control
- Tags: Communications Engineering Networks, Computational Intelligence
- Series: Communications and Control Engineering
- Year: 1997
- Publisher: Springer-Verlag London
- Edition: 1
- Language: English
- pdf
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.
The issue of fundamental limitations in filtering and control lies at the very heart of any feedback system design, since it reveals what is and is not achievable on the basis of that system's structural and dynamic characteristics.
Alongside new succinct treatments of Bode's original results from the 1940s, this book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems. The text gives particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness. With extensive appendices covering the necessary background on complex variable theory, this book is an ideal self-contained resource for researchers and practitioners in this field.
The issue of fundamental limitations in filtering and control lies at the very heart of any feedback system design, since it reveals what is and is not achievable on the basis of that system's structural and dynamic characteristics.
Alongside new succinct treatments of Bode's original results from the 1940s, this book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems. The text gives particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness. With extensive appendices covering the necessary background on complex variable theory, this book is an ideal self-contained resource for researchers and practitioners in this field.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
A Chronicle of System Design Limitations....Pages 3-21
Front Matter....Pages 23-23
Review of General Concepts....Pages 25-46
SISO Control....Pages 47-84
MIMO Control....Pages 85-117
Extensions to Periodic Systems....Pages 119-133
Extensions to Sampled-Data Systems....Pages 135-159
Front Matter....Pages 161-161
General Concepts....Pages 163-177
SISO Filtering....Pages 179-195
MIMO Filtering....Pages 197-209
Extensions to SISO Prediction....Pages 211-228
Extensions to SISO Smoothing....Pages 229-244
Front Matter....Pages 245-245
Nonlinear Operators....Pages 247-254
Nonlinear Control....Pages 255-265
Nonlinear Filtering....Pages 267-273
Back Matter....Pages 275-369
The issue of fundamental limitations in filtering and control lies at the very heart of any feedback system design, since it reveals what is and is not achievable on the basis of that system's structural and dynamic characteristics.
Alongside new succinct treatments of Bode's original results from the 1940s, this book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems. The text gives particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness. With extensive appendices covering the necessary background on complex variable theory, this book is an ideal self-contained resource for researchers and practitioners in this field.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
A Chronicle of System Design Limitations....Pages 3-21
Front Matter....Pages 23-23
Review of General Concepts....Pages 25-46
SISO Control....Pages 47-84
MIMO Control....Pages 85-117
Extensions to Periodic Systems....Pages 119-133
Extensions to Sampled-Data Systems....Pages 135-159
Front Matter....Pages 161-161
General Concepts....Pages 163-177
SISO Filtering....Pages 179-195
MIMO Filtering....Pages 197-209
Extensions to SISO Prediction....Pages 211-228
Extensions to SISO Smoothing....Pages 229-244
Front Matter....Pages 245-245
Nonlinear Operators....Pages 247-254
Nonlinear Control....Pages 255-265
Nonlinear Filtering....Pages 267-273
Back Matter....Pages 275-369
....