Control Theory and Design -  Patrizio Colaneri,  Jose C. Geromel,  Arturo Locatelli

Control Theory and Design (eBook)

An RH2 and RH Viewpoint
eBook Download: PDF
1997 | 1. Auflage
378 Seiten
Elsevier Science (Verlag)
978-0-08-050310-3 (ISBN)
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Control systems design methodologies have long suffered the traditional and myopic dichotomy between time and frequency domain approaches, each of them being specialized to cope with only scarcely overlapping performance requirements. This book is aimed at bridging the two approaches by presenting design methodologies based on the minimization of a norm (H2/H() of a suitable transfer function. A distinctive feature of these techniques is the fact that they do not create only one solution to the design problem, instead they provide a whole set of admissible solutions which satisfy a constraint on the maximum deterioration of the performance index.
A systematic book on this topic is long overdue. Self-contained and practical in its approach, Control Theory and Design enables the reader to use the relevant techniques in various real-life applications. The text covers the basic facts of robustcontrol and theory as well as more recent achievements, such as robust stability and robust performance in presence of parameter uncertainties. It features a new perspective on classical LQC results and further sections on robust synthesis, nonclassicaloptimization problems, and analysis and synthesis of uncertain systems.
Control Theory and Design is essential reading for graduates and those entering the research field. The required mathematical background is provided so that the book is also suitable for undergraduate students with some knowledge of basic systemsand control.

Key Features
* Provides a self-contained manual for learning control systems and design
* Contains a clear and concise presentation of the technical background needed
* Includes a new perspective of classical LQG results
* Contains updated results and novel contributions to nonstandard RH2/RH infinity symbol problems
* Covers all the theory from the basic to the more advanced issues
Control systems design methodologies have long suffered the traditional and myopic dichotomy between time and frequency domain approaches, each of them being specialized to cope with only scarcely overlapping performance requirements. This book is aimed at bridging the two approaches by presenting design methodologies based on the minimization of a norm (H2/H() of a suitable transfer function. A distinctive feature of these techniques is the fact that they do not create only one solution to the design problem, instead they provide a whole set of admissible solutions which satisfy a constraint on the maximum deterioration of the performance index. A systematic book on this topic is long overdue. Self-contained and practical in its approach, Control Theory and Design enables the reader to use the relevant techniques in various real-life applications. The text covers the basic facts of robustcontrol and theory as well as more recent achievements, such as robust stability and robust performance in presence of parameter uncertainties. It features a new perspective on classical LQC results and further sections on robust synthesis, nonclassicaloptimization problems, and analysis and synthesis of uncertain systems. Control Theory and Design is essential reading for graduates and those entering the research field. The required mathematical background is provided so that the book is also suitable for undergraduate students with some knowledge of basic systemsand control. Provides a self-contained manual for learning control systems and design Contains a clear and concise presentation of the technical background needed Includes a new perspective of classical LQG results Contains updated results and novel contributions to nonstandard RH2/RH infinity symbol problems Covers all the theory from the basic to the more advanced issues

Cover 1
Contents 6
Preface & Acknowledgments
Chapter 1. Introduction 12
Chapter 2. Preliminaries 14
2.1 Introduction 14
2.2 Notation and terminology 15
2.3 Polynomial matrices 16
2.4 Proper rational matrices 26
2.5 Poles and zeros 37
2.6 Singular values 51
2.7 Basic facts on linear operators 54
2.8 Functional spaces of rational matrices 56
2.9 Notes and references 79
Chapter 3. Feedback Systems Stability 80
3.1 Introduction 80
3.2 Internal and external stability 81
3.3 Double coprime factorizations 85
3.4 The set of stabilizing controllers 91
3.5 Notes and references 97
Chapter 4. RH2 Control 98
4.1 Introduction 98
4.2 The full information problem 100
4.3 The output estimation problem 116
4.4 The partial information problem 123
4.5 Notes and references 130
Chapter 5. RH& #8374
5.1 Introduction 132
5.2 The standard problem 136
5.3 The full information problem 148
5.4 The output estimation problem 167
5.5 The partial information problem 177
5.6 The operatorial approach 193
5.7 Notes and references 204
Chapter 6. Nonclassical Problems in RH2 and RH& #8374
6.1 Introduction 206
6.2 Parameter Space Optimization 206
6.3 Mixed RH2 / RHa control 234
6.4 RH2 control with regional pole placement 246
6.5 Time-domain specifications 253
6.6 Controllers with structural constraints 261
6.7 Notes and references 272
Chapter 7. Uncertain Systems Control Design 274
7.1 Introduction 274
7.2 Robust stability and performance 274
7.3 Actuators failure 296
7.4 Nonlinear perturbations 300
7.5 Notes and references 311
A. Some Facts on Polynomials 312
B. Singular Values of Matrices 314
C. Riccati Equation 326
D. Structural Properties 336
E. The Standard 2-Block Scheme 338
F. Loop Shifting 348
G. Worst Case Analysis 354
H. Convex Functions and Sets 360
I. Convex Programming Numerical Tools 370
Bibliography 382
Index 386

Erscheint lt. Verlag 20.5.1997
Sprache englisch
Themenwelt Sachbuch/Ratgeber
Mathematik / Informatik Mathematik
Naturwissenschaften Chemie Technische Chemie
Technik Bauwesen
Technik Elektrotechnik / Energietechnik
Technik Maschinenbau
Technik Umwelttechnik / Biotechnologie
Wirtschaft
ISBN-10 0-08-050310-1 / 0080503101
ISBN-13 978-0-08-050310-3 / 9780080503103
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