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:



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.

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).

Preface Acknowledgments Notations and Symbols List of Acronyms Author

Introduction OverviewOutline of the BookSome Notes
Mathematical Foundations Basic Mathematical ConceptsCalculus and Algebra of MatricesDirected Graphs Notes and References
Historical Perspective and Scope Overview Decomposition-Coordination MethodsMultilevel Optimization of Nonlinear SystemsDecentralized Nonlinear SystemsNominally Linear Systems—Continuous CaseLinear SystemsA Perturbational Approach Observation andEstimationInterconnected Discrete-Time SystemsFeedback Control DesignApplicationsProblem Set I Notes and References

Decentralized Servomechanism System Introduction A Class of Large-Scale Systems Decentralized StabilizationIllustrative ExamplesDecentralized RegulatorsHierarchically Structured ServomechanismProblem Set II

Overlapping Control DecompositionFeedback Control DesignLMI-Based Overlapping ControlApplication to Unmanned Aerial Vehicles Problem Set III

Interconnected Time-Delay SystemsIntroductionLinear Interconnected Systems: Continuous-TimeNonlinear Interconnected SystemsInterconnected Discrete-Time-Delay SystemsOverlapping ControlProblem Set IV Notes and References

Decentralized Reliable Control Interconnected Continuous SystemsApplication to Multi-Area Power SystemsInterconnected Discrete Delay SystemsReliable Control of Symmetric Composite SystemsProblem Set V

Decentralized Resilient ControlIntroduction Problem Statement Resilient Decentralized StabilizationResilient Overlapping ControlResilient Stabilization for Discrete SystemsProblem Set VI

Decentralized Sliding-Mode Control Robust Sliding-Mode ControlDelay-Dependent Sliding-Mode ControlProblem Set VII
Decentralized Filtering-I Introduction Problem Statement Robust Subsystem FiltersResilient Subsystem FiltersProblem Set VIII

Decentralized Filtering-II Decentralized Kalman FilteringDecentralized Fault DetectionProblem Set IX.
Epilogue Processing AspectsModeling and Analysis Aspects

Appendix Stability NotionsBasic InequalitiesLinear Matrix InequalitiesSome Continuous Lyapunov-Krasovskii FunctionalsSome Formulas on Matrix InversesSome Discrete Lyapunov-Krasovskii Functionals Additional Inequalities
Bibliography Index

Each chapter concludes with Notes and References