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Control of Complex Systems: Structural Constraints and Uncertainty / Edition 1
     

Control of Complex Systems: Structural Constraints and Uncertainty / Edition 1

by Aleksandar Zecevic, Dragoslav D. Siljak
 

ISBN-10: 1441912150

ISBN-13: 9781441912152

Pub. Date: 02/01/2010

Publisher: Springer US

"Control of Complex Systems: Structural Constraints and Uncertainty" focuses on control design under information structure constraints, with a particular emphasis on large-scale systems. The complexity of such systems poses serious computational challenges and severely restricts the types of feedback laws that can be used in practice. This book systematically

Overview

"Control of Complex Systems: Structural Constraints and Uncertainty" focuses on control design under information structure constraints, with a particular emphasis on large-scale systems. The complexity of such systems poses serious computational challenges and severely restricts the types of feedback laws that can be used in practice. This book systematically addresses the main issues, and provides a number of applications that illustrate potential design methods, most which use Linear Matrix Inequalities (LMIs), which have become a popular design tool over the past two decades. Authors Aleksandar I. Zecevic and Dragoslav D. Siljak use their years of experience in the control field to also:

  • Address the issues of large-scale systems as they relate to robust control and linear matrix inequalities
  • Discuss a new approach to applying standard LMI techniques to large-scale systems, combining graphic-theoretic decomposition techniques with appropriate low-rank numerical approximations and dramatically reducing the computational effort
  • Providing numerous examples and a wide variety of applications, ranging from electric power systems and nonlinear circuits to mechanical problems and dynamic Boolean networks

"Control of Complex Systems: Structural Constraints and Uncertainty" will appeal to practicing engineers, researchers and students working in control design and other related areas.

Product Details

ISBN-13:
9781441912152
Publisher:
Springer US
Publication date:
02/01/2010
Series:
Communications and Control Engineering Series
Edition description:
2010
Pages:
221
Product dimensions:
6.40(w) x 9.30(h) x 0.80(d)

Table of Contents

Preface vii

1 Decompositions of Large-Scale Systems 1

1.1 Epsilon Decompositions 1

1.2 The Decomposition Algorithm 6

1.3 Decompositions of Nonlinear Systems 9

1.4 Balanced BBD Decompositions 11

1.5 Input-Output Constrained Decompositions 18

Bibliography 25

2 Information Structure Constraints 29

2.1 Linear Matrix Inequalities: An Overview 29

2.2 Decentralized and BBD State Feedback 35

2.3 Turbine Governor Control 36

2.4 Low-Rank Corrections 39

2.4.1 Systems Where Decentralized LMI Design is Infeasible 41

2.4.2 Systems Where Decentralized LMI Design is Feasible 44

2.4.3 Implementation Issues 44

2.5 Low-Flank Corrections in Vehicle Control 45

2.6 Overlapping Control 47

2.6.1 Overlapping Control Design for Linear Systems 50

2.6.2 Overlapping Control of Nonlinear Systems 56

Bibliography 59

3 Algebraic Constraints on the Gain Matrix 65

3.1 Static Output Feedback 65

3.2 Arbitrary Information Structure Constraints 70

3.2.1 Preconditioning and Related Issues 71

3.3 Methods for Reducing Computational Complexity 79

3.3.1 Application to Large Flexible Structures 81

3.4 Applications to Large-Scale Lur'e Systems 85

3.4.1 The Design Algorithm 86

3.5 Control of Singular Systems 90

3.5.1 The Design Algorithm 94

3.5.2 Applications to Nonlinear Circuits 102

Bibliography 105

4 Regions of Attraction 111

4.1 Generalized Bounding Procedures 113

4.2 Uncertain Systems 119

4.3 Large Sparse Systems 123

4.4 Exciter Control 129

Bibliography 139

5 Parametric Stability 143

5.1 Parametric Stabilization Using LMIs 144

5.2 Selection of the Reference Input 147

5.3 Parametrically-Dependent Control Laws 149

5.4 Extensions to a General Class of Nonlinearities 155

Bibliography 162

6 Future Directions: Dynamic Graphs 165

6.1 Control of Dynamic Graphs 166

6.2 Generalized Dynamic Graphs 174

6.3 Continuous Boolean Networks 178

6.4 Applications to Gene Regulation 183

6.4.1 Protein Dynamics 184

6.4.2 Gene Dynamics 185

6.5 Entangled Graphs 192

6.6 Dynamic Properties of Entangled Graphs 196

6.6.1 Computational Considerations 197

6.6.2 Stability and Related Issues 200

6.7 Structural Models for Entangled Graphs 204

6.7.1 Cloning and Embedding 204

6.7.2 Self-Replication and Random Mutations 206

6.8 Applications to Large-Scale Boolean Networks 209

Bibliography 213

Index 217

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