Control and Dynamic Systems V22

Advances in Theory and Applications

1st Edition - June 3, 1985
Editor: C.T. Leonides
Language: English
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 1 6 2 8 5 - 2

Control and Dynamic Systems, Volume 22: Decentralized/Distributed Control and Dynamic Systems, Part 1 deals with advances in techniques for the analysis and synthesis of… Read more

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Control and Dynamic Systems, Volume 22: Decentralized/Distributed Control and Dynamic Systems, Part 1 deals with advances in techniques for the analysis and synthesis of decentralized or distributed control and dynamic systems. This book begins with a unique presentation of important results and techniques that decentralized control systems often face due to the fact that the individual systems in a collection or set of decentralized control systems are somewhat incomplete. The controllability, observability, implications, and powerful techniques for stabilization and control of decentralized systems are also discussed. The next chapters describe the covariance equivalent realizations with application to model reductions of large-scale systems and decentralized estimation and control of one-way connected subsystems. This publication concludes with a presentation of the multivariable feedback and decentralized control that reviews fundamental results extending multivariable theory from conventional control systems to the highly challenging problems of decentralized control. This volume is beneficial to students and researchers conducting work on decentralized or distributed control and dynamic systems.

Contents

Contributors

Preface

Contents of Previous Volumes

Distributed Estimation for Large-Scale Event-Driven Systems

I. Introduction

II. Event-Driven Dynamical Systems

III. Hierarchical Estimation Structures

IV. Decentralized Estimation Structures

V. Conclusions

References

Decentralized Control of Discrete Time Linear Systems with Incomplete Information

I. Introduction

II. Disturbance-Free Systems

III. Stochastic Linear Systems

IV. Finite Time Control and Stability

V. Conclusions

VI. Appendix

References

Decentralized Control Using Time-Varying Feedback

I. Fixed Modes and Decentralized Control

II. Eliminating Decentralized Fixed Modes with Time-Varying Controllers

References

Structural Dynamic Hierarchical Stabilization and Control of Large-Scale Systems

I. Introduction

II. Controlling Large-Scale Systems

III. Two-Level Structural Dynamic Hierarchical Control (SDHC)

IV. Structural Stabilization of Large-Scale Systems

V. Toward a Unified Approach for the Control of Large-Scale Systems

VI. Summary and Closing Remarks

Appendix A: Proof of Theorem 1

Appendix B: Two-Level Dynamical Hierarchical Systems

References

Decentralized Design of Decentralized Controllers

I. Introduction

II. Discrete-Time Optimal Decentralized Control

III. Decentralized Computation of the Controller Parameters

IV. An Example

V. Analysis of the Reduced-Order Modeling Approach

VI. Concluding Remarks

Appendix: Efficient Solution of Discrete Lyapunov Equations

References

Decentralized Control Using Local Models for Large-Scale Systems

I. Introduction

II. The Decentralized Servomechanism Problem

III. The Robust Decentralized Servomechanism Problem with Sequential Stability

IV. The Robust Decentralized Servomechanism Problem Using Local Models

V. The Expanding System Problem

VI. The Returnability Problem

VII. Conclusions

References

Learning Automata in Distributed Control Systems

I. Introduction

II. Learning Automata Models

III. Distributed Control Systems

IV. Analysis of Collective Behavior

V. Adaptive Routing in Communication Networks

VI. Concluding Remarks

Appendix A: Robbins and Siegmund Theorem

Appendix B: Al'ber and Shil'man Theorems

Appendix C: Proof of Collective Monotonicity

References

Covariance Equivalent Realizations with Application to Model Reduction of Large-Scale Systems

I. Introduction

II. Brief Review of Component Cost Analysis

III. Definition and Properties of Covers

IV. Application of Cover Theory to Model Reduction

V. Examples

VI. Conclusions

Appendix: The Fine-Tuning Algorithm

References

Decentralized Estimation and Control of One-Way Connected Subsystems

I. Introduction

II. Decentralized Control of One-Way Connected Subsystems

III. A Dynamic Model for River Pollution

IV. Decentralized Control of River Pollution

V. Stochastic Estimation of the River Pollution Problem

VI. Conclusions

References

Multivariable Feedback and Decentralized Control

I. Introduction

II. Terminology

III. Results on Sensitivity Reduction

IV. Remarks on Decentralized Control

V. Relaxation of the Ultimate Diagonal Dominance

VI. Proofs

References

Index