Stability and Control of Dynamical Systems With Applications

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ISBN: 9780817632335 | 0817632336
Cover: Hardcover
Copyright: 4/1/2004

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The twenty-one invited chapters in this book are an outgrowth of a workshop to honor Anthony N. Michel on the occasion of his retirement. The workshop provided a venue for researchers, colleagues, friends, and students to pay tribute to Michel's significant contributions to the systems and control community; at the same time, the workshop also served as a forum to explore topics and applications related to the stability and control of dynamical systems.His work is characterized both by great depth, as exemplified by his contributions to stability theory of dynamical systems, and by great breadth, as demonstrated by the wide range of problems he has addressed.The chapters are thematically organized into three main areas related to Michel's work. Part 1 contains seven chapters examining issues in stability analysis of dynamical systems; Part 2 includes six chapters dealing with artificial neural networks and signal processing; Part 3 contains eight chapters treating power systems and control systems.

Foreword

xiii

Preface

Anthony N. Michel: A Friend, a Scholar, and a Mentor

xix

D. Liu

P. J. Antsaklis

Summary of Research Accomplishments of Anthony N. Michel

Theses Supervised

xxii

Anthony N. Michel

Bibliography

xxiv

List of Contributors

xxvii

PART I: ISSUES IN STABILITY ANALYSIS

Wave-Digital Concepts and Relativity Theory

(20)

A. Fettweis

Introduction

(1)

Nonlinear Passive Kirchhoff Circuits and the Wave-Digital Method

(1)

Nonlinear Relativistic Mass

(3)

Direct Derivation of the Alternative Results

(8)

Some Applications

(2)

Conclusions

(4)

Bibliography

(2)

Time, Systems, and Control: Qualitative Properties and Methods

(24)

L. T. Gruyitch

Introduction

(1)

Physical Variables, Time, and Continuity

(2)

Complete Transfer Function Matrix

(4)

Consistent Lyapunov Methodology for Nonlinear Systems

(3)

Vector Lyapunov Function Concept and Complex Systems

(4)

Conclusions

(1)

Appendix

(9)

Bibliography

(6)

Asymptotic Stability of Multibody Attitude Systems

(24)

J. Shen

A. K. Sanyal

N. H. McClamroch

Introduction

(1)

Equations of Motion

(2)

Conservation of Energy and Lyapunov Stability

(1)

Asymptotic Stability Analysis

(12)

Examples

(6)

Conclusions

(2)

Bibliography

(1)

Robust Regulation of Polytopic Uncertain Linear Hybrid Systems with Networked Control System Applications

(26)

H. Lin

P. J. Antsaklis

Introduction

(2)

Problem Formulation

(2)

Robust One-Step Predecessor Set

(5)

Safety, Reachability, and Attainability

(1)

Hybrid Regulation

(6)

Networked Control Systems (NCS)

(5)

Conclusions

(4)

Bibliography

(2)

Stability Analysis of Swarms in a Noisy Environment

(20)

K. M. Passino

Introduction

(1)

Swarm and Environment Models

(4)

Stability Analysis of Swarm Cohesion Properties

102

(9)

Cohesion Characteristics and Swarm Dynamics

111

(4)

Conclusions

115

(2)

Bibliography

115

(2)

Stability of Discrete Time-Varying Linear Delay Systems and Applications to Network Control

117

(14)

M. L. Sichitiu

P. H. Bauer

Introduction

117

(1)

The Stability Test

118

(4)

The Algorithm

122

(2)

Applications in Communication Network Control

124

(4)

Conclusions

128

(1)

Appendix: Pseudocode for the Stability Testing Algorithm

129

(2)

Bibliography

129

(2)

Stability and L2 Gain Analysis of Switched Symmetric Systems

131

(24)

G. Zhai

Introduction and Problem Formulation

131

(4)

Stability Analysis

135

(5)

L2 Gain Analysis

140

(10)

Conclusions

150

(5)

Bibliography

150

(5)

PART II: NEURAL NETWORKS AND SIGNAL PROCESSING

Approximation of Input-Output Maps using Gaussian Radial Basis Functions

155

(12)

I. W. Sandberg

Introduction

155

(2)

Preliminaries

157

(1)

Radial Basis Function Approximations of Input-Output Maps

158

(3)

An Example

161

(2)

Related Results and Comments

163

(4)

Bibliography

165

(2)

Blind Source Recovery: A State-Space Formulation

167

(26)

K. Waheed

F. M. Salem

Introduction

167

(4)

Optimization Framework for BSR

171

(5)

Extensions to the Natural Gradient

176

(5)

Simulation Results

181

(7)

Conclusions

188

(1)

Appendix: MIMO Canonical Form

188

(5)

Bibliography

189

(4)

Direct Neural Dynamic Programming

193

(22)

L. Yang

R. Enns

Y. T. Wang

J. Si

Introduction

193

(1)

ADP Models and Algorithms

194

(5)

Direct Neural Dynamic Programming (NDP)

199

(5)

A Control Problem: Helicopter Command Tracking

204

(9)

Conclusions

213

(2)

Bibliography

213

(2)

Online Approximation-Based Aircraft State Estimation

215

(18)

J. Farrell

M. Sharma

M. Polycarpou

Introduction

215

(2)

Aircraft Dynamics and Model Structure

217

(2)

Approximator Definition

219

(3)

On-Line Approximation-Based Estimation

222

(2)

Prediction Error-Based Learning

224

(1)

Lyapunov Analysis: Prediction Error

224

(2)

Implementation Issues

226

(2)

Conclusions

228

(1)

Appendix: Aircraft Notation

229

(4)

Bibliography

230

(3)

Evolutionary Multiobjective Optimization: Qualitative Analysis and Design Implementation

233

(22)

G. G. Yen

Introduction

234

(1)

Evolutionary Multiobjective Optimization Algorithms

235

(3)

Dynamic Multiobjective Evolutionary Algorithm (DMOEA)

238

(10)

Comparative Study

248

(3)

Robustness Study

251

(1)

Conclusions

252

(3)

Bibliography

252

(3)

Set-Membership Adaptive Filtering

255

(16)

Y. F. Huang

Introduction

255

(1)

Problem Formulation

256

(2)

Optimal Bounding Ellipsoid (OBE) Algorithms

258

(5)

Set-Membership NLMS (SM-NLMS) Algorithm

263

(1)

Conclusions

264

(7)

Bibliography

264

(7)

PART III: POWER SYSTEMS AND CONTROL SYSTEMS

Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications

271

(22)

M. A. Pai

T. B. Nguyen

Introduction

271

(3)

Trajectory Sensitivity Analysis (TSA)

274

(1)

Trajectory Sensitivity Theory for DAE Model

274

(9)

Stability-Constrained Optimal Power Flow Formulation

283

(1)

Transmission Protection System Vulnerability to Angle Stability

284

(6)

Conclusions

290

(3)

Bibliography

291

(2)

Emergency Control and Special Protection Systems in Large Electric Power Systems

293

(22)

V. Vittal

Introduction

294

(1)

Controlled Islanding

295

(5)

Load-Shedding Scheme

300

(6)

Simulation Result

306

(4)

Other Forms of System Protection Schemes

310

(5)

Bibliography

313

(2)

Power System Stability: New Opportunities for Control

315

(16)

A. Bose

Introduction

315

(2)

Power System Stability

317

(7)

Challenges and Opportunities

324

(6)

Conclusions

330

(1)

Bibliography

330

(1)

Data Fusion Modeling for Groundwater Systems using Generalized Kalman Filtering

331

(24)

D. W. Porter

Introduction

331

(2)

Background

333

(1)

Mathematical Motivation

334

(2)

Approaches

336

(12)

Application at Savannah River Site

348

(2)

Conclusions

350

(5)

Bibliography

351

(4)

(Control, Output) Synthesis: Algebraic Paradigms

355

(24)

M. K. Sain

B. F. Wyman

Introduction

355

(2)

Notation and Preliminaries

357

(1)

Problem Statement

358

(4)

NDP: The Abstract Kernel Problem

362

(3)

The Design Morphism

365

(1)

Output Feedback Synthesis (OFS)

365

(3)

Good Unity Feedback Synthesis (GUSF)

368

(5)

The Zeros of T(s)

373

(2)

Conclusions

375

(4)

Bibliography

376

(3)

The Adaptive Dynamic Programming Theorem

379

(16)

J. J. Murray

C. J. Cox

R. E. Saeks

Introduction

379

(2)

Adaptive Dynamic Programming Algorithm

381

(3)

Proof of the Adaptive Dynamic Programming Theorem

384

(9)

Conclusions

393

(2)

Bibliography

393

(2)

Reliability of SCADA Systems in Offshore Oil and Gas Platforms

395

(10)

K. T. Erickson

E. K. Stanek

E. Cetinkaya

S. Dunn-Norman

A. Miller

Introduction

395

(1)

Conventional and Deepwater Platforms

396

(1)

Fault Tree and Reliability Analysis

397

(7)

Conclusions

404

(1)

Bibliography

404

(1)

Power Control and Call Admission Control for DS-CDMA Cellular Networks

405

(22)

D. Liu

Y. Zhang

S. Hu

Introduction

406

(1)

Calculation of Power Control Setpoints

407

(6)

Fixed and Adaptive Call Admission Control Algorithms

413

(4)

Simulation Results

417

(6)

Conclusions

423

(4)

Bibliography

424

(3)

Index

427

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Stability and Control of Dynamical Systems With Applications

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