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Frequency-Domain Analysis and Design of Distributed Control Systems

Book Description

This book presents a unified frequency-domain method for the analysis of distributed control systems. The following important topics are discussed by using the proposed frequency-domain method: (1) Scalable stability criteria of networks of distributed control systems; (2) Effect of heterogeneous delays on the stability of a network of distributed control system; (3) Stability of Internet congestion control algorithms; and (4) Consensus in multi-agent systems. This book is ideal for graduate students in control, networking and robotics, as well as researchers in the fields of control theory and networking who are interested in learning and applying distributed control algorithms or frequency-domain analysis methods.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Dedication
  5. Preface
  6. Glossary of Symbols
  7. Chapter 1: Introduction
    1. 1.1 Network-Based Distributed Control System
    2. 1.2 Graph Theory and Interconnection Topology
    3. 1.3 Distributed Control Systems
    4. 1.4 Notes and References
    5. References
  8. Chapter 2: Symmetry, Stability and Scalability
    1. 2.1 System Model
    2. 2.2 Symmetry in the Frequency Domain
    3. 2.3 Stability of Multivariable Systems
    4. 2.4 Frequency-Domain Criteria of Stability
    5. 2.5 Scalable Stability Criteria
    6. 2.6 Notes and References
    7. References
  9. Chapter 3: Scalability in the Frequency Domain
    1. 3.1 How the Scalability Condition is Related with Frequency Responses
    2. 3.2 Clockwise Property of Parameterized Curves
    3. 3.3 Scalability of First-Order Systems
    4. 3.4 Scalability of Second-Order Systems
    5. 3.5 Frequency-Sweeping Condition
    6. 3.6 Notes and References
    7. References
  10. Chapter 4: Congestion Control: Model and Algorithms
    1. 4.1 An Introduction to Congestion Control
    2. 4.2 Distributed Congestion Control Algorithms
    3. 4.3 A General Model of Congestion Control Systems
    4. 4.4 Notes and References
    5. References
  11. Chapter 5: Congestion Control: Stability and Scalability
    1. 5.1 Stability of the Primal Algorithm
    2. 5.2 Stability of REM
    3. 5.3 Stability of the Primal-Dual Algorithm
    4. 5.4 Time-Delayed Feedback Control
    5. 5.5 Stabilization of Congestion Control Systems by Time-Delayed Feedback Control
    6. 5.6 Notes and References
    7. References
  12. Chapter 6: Consensus in Homogeneous Multi-Agent Systems
    1. 6.1 Introduction to Consensus Problem
    2. 6.2 Second-Order Agent System
    3. 6.3 High-Order Agent System
    4. 6.4 Notes and References
    5. References
  13. Chapter 7: Consensus in Heterogeneous Multi-Agent Systems
    1. 7.1 Integrator Agent System with Diverse Input and Communication Delays
    2. 7.2 Double Integrator System with Diverse Input Delays and Interconnection Uncertainties
    3. 7.3 High-Order Consensus in High-Order Systems
    4. 7.4 Integrator-Chain Systems with Diverse Communication Delays
    5. 7.5 Notes and References
    6. References
  14. Index