Decentralized control of large-scale systems

✍ Scribed by Aghdam, Amir G.; Davison, Edward J.; Miller, Daniel E

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 173
• Category: Library

✦ Synopsis

This text provides various analysis and design techniques for decentralized control of large-scale systems. It contains a systematic study of multi-input, multi-output systems with a special focus on industrial applications.;Preface -- The Development of Decentralized Control; Some Highlights of the Book -- Contents -- About the Authors -- 1 Centralized Control Systems -- 1.1 Introduction -- 1.2 State-Space Model with Centralized Control -- 1.2.1 Controllability -- 1.2.2 Observability -- 1.3 Centralized Fixed Modes -- 1.4 Stability Condition for Centralized Control Systems -- 1.5 Minimal Realization for Centralized Systems -- 1.6 Transmission Zeros -- 1.7 Model Reduction Problem -- 1.7.1 Singular Perturbation Approach -- 1.7.2 Dominant Modes Approach -- 1.7.3 Balanced Realization Approach -- 1.8 Summary -- 1.9 Problems -- References

✦ Table of Contents

The Development of Decentralized Control......Page 6
Some Highlights of the Book......Page 7
Contents......Page 8
About the Authors......Page 11
1.2 State-Space Model with Centralized Control......Page 14
1.2.1 Controllability......Page 16
1.2.2 Observability......Page 17
1.3 Centralized Fixed Modes......Page 18
1.4 Stability Condition for Centralized Control Systems......Page 19
1.5 Minimal Realization for Centralized Systems......Page 20
1.6 Transmission Zeros......Page 21
1.7 Model Reduction Problem......Page 22
1.7.1 Singular Perturbation Approach......Page 23
1.7.2 Dominant Modes Approach......Page 24
1.7.3 Balanced Realization Approach......Page 25
1.8 Summary......Page 30
1.9 Problems......Page 31
References......Page 34
2.1 State-Space Representation of Decentralized Control Systems......Page 35
2.2 Decentralized Fixed Modes......Page 37
2.2.2 Stability Conditions for Decentralized Systems......Page 38
2.3.1 PBH-Type Criteria......Page 39
2.3.2 Transmission Zero Criteria......Page 41
2.3.3 Relaxing Generic Gain Condition......Page 50
2.4.1 Decentralized Pole Assignment......Page 51
2.5 Summary......Page 53
2.6 Problems......Page 54
References......Page 57
3.1 Robust Servomechanism Problem Statement......Page 58
3.2 Robust Centralized Servomechanism Problem......Page 61
3.3 Robust Decentralized Servomechanism Problem......Page 62
3.5 Problems......Page 64
References......Page 66
4 On Tuning Regulators......Page 67
4.1 The Mathematical Set-up......Page 68
4.2 Necessary Conditions and Their Implications......Page 69
4.3 Controller Design: The Centralized Case......Page 70
4.4 Controller Design: The Decentralized Case......Page 74
4.5 A Design Example......Page 81
4.5.1 A Centralized Controller Design......Page 82
4.5.2 A Decentralized Controller Design......Page 83
4.6 Summary......Page 90
4.7 Problems......Page 91
References......Page 92
5.1 Introduction......Page 94
5.2 A Motivating Example......Page 95
5.3 The System Graph, the Quotient System and QFMs......Page 99
5.4 A Non-graphical Way to Compute QFMs......Page 106
5.5 A Controller Design Based on Scon Using Generalized Holds......Page 110
5.6 A Controller Design Based on Sobs Using a Generalized Sampler......Page 116
5.7 A Controller Design Based on Smar......Page 126
5.8 Summary......Page 129
5.9 Problems......Page 130
References......Page 131
6.1 Quadratic Performance Index......Page 133
6.2 Decentralized Control Structure......Page 134
6.3 Optimal Control Parameters......Page 135
6.4 Optimal Decentralized Control in the Context of Servomechanism Problem......Page 137
6.6 Problems......Page 138
Reference......Page 142
7.1 Introduction......Page 143
7.2 The Plant and the Control Objective......Page 144
7.3 The Performance Gap Between the Centralized and Decentralized Cases......Page 145
7.4 The Strongly Connected Case with Two Scalar Channels......Page 151
7.4.1 The High-Level Idea......Page 152
7.4.2 Estimation......Page 154
7.4.3 The Final Controller and the Main Result......Page 160
7.4.4 An Example......Page 163
7.5.1 The Case of ν>2......Page 167
7.5.2 Non-scalar Channels......Page 168
7.7 Problems......Page 169
References......Page 170
Index......Page 172

✦ Subjects

Control theory;Large scale systems;Large scale systems--Control;Large scale systems -- Control