Decentralized control and filtering in interconnected dynamical systems

Based on the many approaches available for dealing with large-scale systems (LSS), Decentralized Control and Filtering in Interconnected Dynamical Systems supplies a rigorous framework for studying the analysis, stability, and control problems of LSS. Providing an overall assessment of LSS theories, it addresses model order reduction, parametric uncertainties, time delays, and control estimator gain perturbations.

Taking readers on a guided tour through LSS, the book examines recent trends and approaches and reviews past methods and results from a contemporary perspective. It traces the progress of research along three eras:

1. Fundamental era in which the basic conceptual frameworks, major ideas, and operational methodologies are laid down
2. Contemporary era in which several of the workable methods and techniques are established and applied to many application areas
3. Advanced era in which different high-level schemes and configurations are being developed to meet accelerated technological advancements

Focusing on robust, reliable, and/or resilient decentralized design methods based on linear matrix inequalities framework, the author offers suggestions for improvements to current approaches. He addresses the dominating sources of difficulties due to dimensionality, information structure constraints, uncertainties, and time delays. Drawing attention to key issues, the text is supported by proofs, efficient computational methods, end-of-chapter problems, and approximately 1,300 equations.

Preface
Acknowledgments
Notations and Symbols
List of Acronyms
Author

Introduction
Overview
Outline of the Book
Some Notes

Mathematical Foundations
Basic Mathematical Concepts
Calculus and Algebra of Matrices
Directed Graphs
Notes and References

Historical Perspective and Scope
Overview
Decomposition-Coordination Methods
Multilevel Optimization of Nonlinear Systems
Decentralized Nonlinear Systems
Nominally Linear Systems--Continuous Case
Linear Systems
A Perturbational Approach
Observation andEstimation
Interconnected Discrete-Time Systems
Feedback Control Design
Applications
Problem Set I
Notes and References

Decentralized Servomechanism System
Introduction
A Class of Large-Scale Systems
Decentralized Stabilization
Illustrative Examples
Decentralized Regulators
Hierarchically Structured Servomechanism
Problem Set II

Overlapping Control
Decomposition
Feedback Control Design
LMI-Based Overlapping Control
Application to Unmanned Aerial Vehicles
Problem Set III

Interconnected Time-Delay Systems
Introduction
Linear Interconnected Systems: Continuous-Time
Nonlinear Interconnected Systems
Interconnected Discrete-Time-Delay Systems
Overlapping Control
Problem Set IV
Notes and References

Decentralized Reliable Control
Interconnected Continuous Systems
Application to Multi-Area Power Systems
Interconnected Discrete Delay Systems
Reliable Control of Symmetric Composite Systems
Problem Set V

Decentralized Resilient Control
Introduction
Problem Statement
Resilient Decentralized Stabilization
Resilient Overlapping Control
Resilient Stabilization for Discrete Systems
Problem Set VI

Decentralized Sliding-Mode Control
Robust Sliding-Mode Control
Delay-Dependent Sliding-Mode Control
Problem Set VII

Decentralized Filtering-I
Introduction
Problem Statement
Robust Subsystem Filters
Resilient Subsystem Filters
Problem Set VIII

Decentralized Filtering-II
Decentralized Kalman Filtering
Decentralized Fault Detection
Problem Set IX.

Epilogue
Processing Aspects
Modeling and Analysis Aspects

Appendix
Stability Notions
Basic Inequalities
Linear Matrix Inequalities
Some Continuous Lyapunov-Krasovskii Functionals
Some Formulas on Matrix Inverses
Some Discrete Lyapunov-Krasovskii Functionals
Additional Inequalities

Bibliography
Index

Each chapter concludes with Notes and References