Decentralized Control and Filtering in Interconnected Dynamical Systems: 1st Edition (Paperback) book cover

Decentralized Control and Filtering in Interconnected Dynamical Systems

1st Edition

By Magdi S. Mahmoud

CRC Press

612 pages | 100 B/W Illus.

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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:

  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.

Table of Contents



Notations and Symbols

List of Acronyms




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


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


Problem Set I

Notes and References

Decentralized Servomechanism System


A Class of Large-Scale Systems

Decentralized Stabilization

Illustrative Examples

Decentralized Regulators

Hierarchically Structured Servomechanism

Problem Set II

Overlapping Control


Feedback Control Design

LMI-Based Overlapping Control

Application to Unmanned Aerial Vehicles

Problem Set III

Interconnected Time-Delay Systems


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


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


Problem Statement

Robust Subsystem Filters

Resilient Subsystem Filters

Problem Set VIII

Decentralized Filtering-II

Decentralized Kalman Filtering

Decentralized Fault Detection

Problem Set IX.


Processing Aspects

Modeling and Analysis Aspects


Stability Notions

Basic Inequalities

Linear Matrix Inequalities

Some Continuous Lyapunov-Krasovskii Functionals

Some Formulas on Matrix Inverses

Some Discrete Lyapunov-Krasovskii Functionals

Additional Inequalities



Each chapter concludes with Notes and References

About the Author

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).

Subject Categories

BISAC Subject Codes/Headings:
BUSINESS & ECONOMICS / Operations Research
COMPUTERS / Information Technology
TECHNOLOGY & ENGINEERING / Engineering (General)
TECHNOLOGY & ENGINEERING / Operations Research