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Decentralized Control and Filtering in Interconnected Dynamical SystemsBy Magdi S. Mahmoud
M00002248
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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:
Fundamental era in which the basic conceptual frameworks, major ideas, and operational methodologies are laid down Contemporary era in which several of the workable methods and techniques are established and applied to many application areas 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.
Table of Contents
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
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Author(s)
Biography
Magdi S. Sadek Mahmoud earned his Ph.D. degree in systems engineering from Cairo University in 1974. He has been a professor of systems engineering since 1984. He is now on the faculty of KFUPM, Saudi Arabia. He worked at different universities worldwide in Egypt, Kuwait, UAE, UK, USA, Singapore, Saudi Arabia, and Australia. He has given invited lectures in Venezuela, Germany, China, UK, and USA. He has been actively engaged in teaching and research in the development of modern methodologies of computer control, systems engineering, and information technology. He is the principal author of 11 books and 9 book chapters and the author/co-author of more than 450 peer-reviewed papers. He is the recipient of two national, one regional, and a university prize for outstanding research in engineering. He is a fellow of the IEE, a senior member of the IEEE and the CEI (UK), and a registered consultant engineer of information engineering and systems (Egypt).