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book: Robust Multivariable Feedback Control
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Robust Multivariable Feedback Control

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Language: English
Published/Copyright: 1988
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    Frontmatter

    I
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    CONTENTS

    V
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    Preface

    IX
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    Introduction

    1
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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  • 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
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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
https://doi.org/10.1515/9783112715796
eBook ISBN: 9783112715796
Hardcover ISBN: 9783112715789
Audience(s) for this book
College/higher education;
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