Stability and Control of Dynamical Systems With Applications

by Liu, Derong; Antsaklis, Panos J.

• ISBN13: 9780817632335
• ISBN10: 0817632336
• Format: Hardcover
• Copyright: 2004-04-01
• Publisher: Birkhauser

Summary

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.

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