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Robust Multivariable Feedback Control
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Language:
English
Published/Copyright:
1988
Topics
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Frontmatter
I -
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CONTENTS
V -
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Preface
IX -
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Introduction
1 - 1 The Problem of Robust Control
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1.1 The design problem
6 -
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1.2 The design of feedback controllers for completely known plants
9 -
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1.3 Model uncertainties
10 -
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1.4 Feedback systems in presence of model uncertainties
12 -
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1.5 Different properties describing a tolerance of model uncertainties
16 -
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1.6 The main problems of robustness analysis and design
18 - 2 Fundamental Results from Feedback Theory
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2.1 Models of control systems
21 -
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2.2 Stability of feedback systems
27 -
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2.3 Fundamental limitations of the closed-loop properties
30 -
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2.4 LQ-regulation
34 -
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Bibliographical notes
35 - 3 Sensitivity of Feedback Systems
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3.1 The principle of sensitivity analysis
36 -
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3.2 Sensitivity of dynamical systems
38 -
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3.3 Sensitivity analysis of feedback systems
41 -
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3.4 Sensitivity design
44 -
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3.5 Summary
48 -
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Bibliographical notes
49 - 4 A Survey of the Methods for Analysing and Designing Uncertain Feedback Systems
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4.1 Classification according to the kind of robustness considered
51 -
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4.2 Survey of the design methods
55 - 5 Models of Uncertain Systems
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5.1 The methodology of modelling uncertain systems
57 -
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5.2 Specimens of the original system
59 -
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5.3 Systems with unknown-but-bounded uncertainties
60 -
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Bibliographical notes
76 - 6 Qualitative Robustness Analysis and Design
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6.1 Stability margin
78 -
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6.2 Stability degree
84 -
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6.3 Bobustness of two-time scale systems
85 -
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6.4 High-gain feedback
90 -
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6.5 Algebraic aspects of robustness
96 -
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Summary
99 -
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Bibliographical notes
99 - 7 Simultaneous Stabilisation and Pole Assignment
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7.1 Simultaneous stabilisability
102 -
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7.2 Simultaneous pole region assignment
107 -
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Bibliographical notes
112 - 8 Quantitative Robustness of Systems with Bounded Uncertainties
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8.1 The quantitative feedback design
113 -
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8.2 Description of the closed-loop original system
122 -
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8.3 Frequency domain stability criteria
128 -
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8.4 Time domain criteria for I/O-stability
142 -
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8.5 Analysis of the I/O-performance
146 -
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8.6 Design of robust multivariable controllers in presence of bounded uncertainties
152 -
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8.7 Robustness analysis using state-space models
154 -
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Bibliographical notes
159 - 9 Controller Design by Means of Appioximate Models
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9.1 The design of a Smith predictor controller
162 -
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9.2 Limiting the controller action to low-uncertainty frequencies
164 -
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Bibliographical notes
168 - 10 Robust Multivariable Pi-Controllers
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Introduction
169 -
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10.1 Existence of robust multivariable Pi-controllers
170 -
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10.2 Robustness of Pi-controlled systems
176 -
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10.3 Tuning of multivariable Pi-controllers
184 -
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Bibliographical notes
195 - 11 Robust Decentralised Control
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11.1 Robustness issues of decentralised control
196 -
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11.2 Existence of robust decentralised Pi-controllers
197 -
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11.3 Design of robust decentralised controllers
202 -
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Bibliographical notes
211 -
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12 Trends in Robust Feedback Control
212 - Appendices
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Appendix 1 Nonnegative and M-matrices
215 -
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Appendix 2 Singular value decomposition
217 -
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Appendix 3 The Nichols chart
219 -
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References
222 -
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Symbols
232 -
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Subject Index
234
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 31, 1988
eBook ISBN:
9783112715796
Hardcover published on:
December 31, 1988
Hardcover ISBN:
9783112715789
Original publisher:
Akademie-Verlag Berlin
Edition:
Reprint 2024
Pages and Images/Illustrations in book
Main content:
248
Other:
with 67 Figures, 5 Tables
Audience(s) for this book
College/higher education;
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Walter de Gruyter GmbH
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