简介
Summary:
Publisher Summary 1
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.
目录
Table Of Contents:
Foreword xiii
Preface xv
Anthony N. Michel: A Friend, a Scholar, and a Mentor xix
D. Liu
P. J. Antsaklis
Summary of Research Accomplishments of Anthony N. Michel xx
Theses Supervised xxii
Anthony N. Michel
Bibliography xxiv
List of Contributors xxvii
PART I: ISSUES IN STABILITY ANALYSIS
Wave-Digital Concepts and Relativity Theory 3(20)
A. Fettweis
Introduction 4(1)
Nonlinear Passive Kirchhoff Circuits and the Wave-Digital Method 5(1)
Nonlinear Relativistic Mass 6(3)
Direct Derivation of the Alternative Results 9(8)
Some Applications 17(2)
Conclusions 19(4)
Bibliography 21(2)
Time, Systems, and Control: Qualitative Properties and Methods 23(24)
L. T. Gruyitch
Introduction 24(1)
Physical Variables, Time, and Continuity 24(2)
Complete Transfer Function Matrix 26(4)
Consistent Lyapunov Methodology for Nonlinear Systems 30(3)
Vector Lyapunov Function Concept and Complex Systems 33(4)
Conclusions 37(1)
Appendix 38(9)
Bibliography 41(6)
Asymptotic Stability of Multibody Attitude Systems 47(24)
J. Shen
A. K. Sanyal
N. H. McClamroch
Introduction 47(1)
Equations of Motion 48(2)
Conservation of Energy and Lyapunov Stability 50(1)
Asymptotic Stability Analysis 51(12)
Examples 63(6)
Conclusions 69(2)
Bibliography 70(1)
Robust Regulation of Polytopic Uncertain Linear Hybrid Systems with Networked Control System Applications 71(26)
H. Lin
P. J. Antsaklis
Introduction 72(2)
Problem Formulation 74(2)
Robust One-Step Predecessor Set 76(5)
Safety, Reachability, and Attainability 81(1)
Hybrid Regulation 82(6)
Networked Control Systems (NCS) 88(5)
Conclusions 93(4)
Bibliography 95(2)
Stability Analysis of Swarms in a Noisy Environment 97(20)
K. M. Passino
Introduction 97(1)
Swarm and Environment Models 98(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
Foreword xiii
Preface xv
Anthony N. Michel: A Friend, a Scholar, and a Mentor xix
D. Liu
P. J. Antsaklis
Summary of Research Accomplishments of Anthony N. Michel xx
Theses Supervised xxii
Anthony N. Michel
Bibliography xxiv
List of Contributors xxvii
PART I: ISSUES IN STABILITY ANALYSIS
Wave-Digital Concepts and Relativity Theory 3(20)
A. Fettweis
Introduction 4(1)
Nonlinear Passive Kirchhoff Circuits and the Wave-Digital Method 5(1)
Nonlinear Relativistic Mass 6(3)
Direct Derivation of the Alternative Results 9(8)
Some Applications 17(2)
Conclusions 19(4)
Bibliography 21(2)
Time, Systems, and Control: Qualitative Properties and Methods 23(24)
L. T. Gruyitch
Introduction 24(1)
Physical Variables, Time, and Continuity 24(2)
Complete Transfer Function Matrix 26(4)
Consistent Lyapunov Methodology for Nonlinear Systems 30(3)
Vector Lyapunov Function Concept and Complex Systems 33(4)
Conclusions 37(1)
Appendix 38(9)
Bibliography 41(6)
Asymptotic Stability of Multibody Attitude Systems 47(24)
J. Shen
A. K. Sanyal
N. H. McClamroch
Introduction 47(1)
Equations of Motion 48(2)
Conservation of Energy and Lyapunov Stability 50(1)
Asymptotic Stability Analysis 51(12)
Examples 63(6)
Conclusions 69(2)
Bibliography 70(1)
Robust Regulation of Polytopic Uncertain Linear Hybrid Systems with Networked Control System Applications 71(26)
H. Lin
P. J. Antsaklis
Introduction 72(2)
Problem Formulation 74(2)
Robust One-Step Predecessor Set 76(5)
Safety, Reachability, and Attainability 81(1)
Hybrid Regulation 82(6)
Networked Control Systems (NCS) 88(5)
Conclusions 93(4)
Bibliography 95(2)
Stability Analysis of Swarms in a Noisy Environment 97(20)
K. M. Passino
Introduction 97(1)
Swarm and Environment Models 98(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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