Advances in Dynamics and Control

Advances in Dynamics and Control
S. Sivasundaram
Nonlinear Systems in Aviation, Aerospace, Aeronautics, and Astronautics
Contents
List of Contributors vii
Preface ix
1 Global Spacecraft Attitude Control Using Magnetic Actuators
Marco Lovera and Alessandro Astolf 1
2 Adaptive Learning Control for Spacecraft Formation Flying
Hong Wong, Haizhou Pan, Marcio S. de Queiroz, and Vikram Kapila 15
3 Spectral Properties of the Generalized Resolvent Operator for
an Aircraft Wing Model in Subsonic Airflow
Marianna A. Shubov 29
4 Bifurcation Analysis for the Inertial Coupling Problem of a Reentry Vehicle
Norihiro Goto and Takashi Kawakita 45
5 Missile Autopilot Design Using Dynamic Fuzzy Gain-Scheduling
Technique
Chun-Liang Lin, Rei-Min Lai, and Sen-Wei Huang 57
6 Model Predictive Control of Nonlinear Rotorcraft Dynamics with
Application to the XV-15 Tilt Rotor
Raman K. Mehra and Ravi K. Prasanth 73
7 New Development of Vector Lyapunov Functions and Airplane Control
Synthesis
Lyubomir T. Gruyitch 89
8 Stabilization of Unstable Aircraft Dynamics under Control Constraints
M.G. Goman and M.N. Demenkov 103
9 QUEST Algorithms Case Study: GPS-Based Attitude Determination
of Gyrostat Satellite
Jinlu Kuang and Soonhie Tan 117
10 Asymptotic Controllability in Terms of Two Measures of Hybrid
Dynamic Systems
V. Lakshmikantham and S. Sivasundaram 137
11 Exact Boundary Controllability of a Hybrid PDE System Arising
in Structural Acoustic Modeling
George Avalos and Irena Lasiecka 155
12 Flow Field, Temperature, and Dopant Concentration Evolution
in a Bridgman–Stockbarger Crystal Growth System in a Strictly
Zero-Gravity and a Low-Gravity Environment
St. Balint and A.M. Balint 17513 Identification of Stiffness Matrices of Structural and Mechanical Systems
from Modal Data
Firdaus E. Udwadia 189
14 A Survey of Applications in Structural–Acoustic Optimization for Passive
Noise Control with a Focus on Optimal Shell Contour
Steffen Marburg 205
15 Intelligent Control of Aircraft Dynamic Systems with a New Hybrid
Neuro-Fuzzy-Fractal Approach
Patricia Melin and Oscar Castillo 221
16 Closed-Form Solution of Three-Dimensional Ideal Proportional Navigation
Chi-Ching Yang and Hsin-Yuan Chen 231
17 Guidance Design with Nonlinear H2/H∞ Control
Hsin-Yuan Chen 247
18 A Control Algorithm for Nonlinear Multiconnected Objects
V.Yu. Rutkovsky, S.D. Zemlyakov, V.M. Sukhanov, and V.M. Glumov 261
19 Optimal Control and Differential Riccati Equations under Singular
Estimates for eAtB in the Absence of Analyticity
Irena Lasiecka and Roberto Triggiani 271
20 Nonlinear Problems of Spacecraft Fault-Tolerant Control Systems
V.M. Matrosov and Ye.I. Somov 309
Subject Index 333
SUBJECT INDEX
active control of aeromechanical instability,
73, 74, 79–80
acoustic characteristics, 205, 206
acoustic modeling, 155
acoustic pressure, 155
acoustic problems, 271, 289, 290, 292
adaptation, 21, 24
adaptation law, 57, 64
adaptive model-based control, 221, 222, 225,
226, 228
airborne targets, 231
aircraft dynamic systems, 221, 222, 226
airplane control synthesis, 89, 95, 97, 100
aircraft wing model, 30, 34, 35
asymptotic controllability, 137
automatic flight control, 45, 50, 53
autonomous search, 205, 206
baseline calibration, 117, 118
bending angle, 30, 31
bifurcation analysis, 45, 46, 54
boundary controllability, 155, 156
Boussinesq approximation, 178
closed-form solution, 233, 244
closed-loop system, 103, 105, 107, 111, 112,
115
continuation method, 45, 46, 49, 50, 54
continuous feedback, 137
continuum mechanical model, 176, 177
control algorithm, 261, 262
control constraints, 103, 104, 106, 110,
controllability regions, 114
control moment gyroscopes, 309
control surface angles, 45–47, 49, 52, 54
dopant concentration, 176, 177, 182, 183
dynamic hybrid stabilizing controller, 137,
149, 150, 152
equilibrium path, 45, 46, 49, 50, 52–54
fault tolerance, 309, 324, 325
feedback control, 137, 139
Filippov solution, 137
flight control, 57, 58, 69, 74, 84, 86
full-state feedback, 15, 16, 26
gain scheduling, 57, 58, 66, 69
generalized resolvent operator, 29, 35, 37,
39, 40
GPS-based attitude determination, 117, 119,
127, 134
guidance design, 247, 257
guidance law, 232, 233, 235, 240, 242
gyrostat satellite, 117, 118, 120, 122, 123,
127, 131, 134
H2/H∞ control, 247, 248, 250, 252, 257
Hopf bifurcation, 73, 79
hybrid partial differential equations, 155,
158, 160
hybrid dynamic systems, 137
inertial coupling problem, 46, 47, 54
inertial pointing, 1, 2, 4
integro-differential equations, 30,
intelligent control systems, 222
learning control, 21, 23
linear parameter-varying approximation, 73,
74, 76, 77, 80, 86
local stiffness, 205, 215
low gravity environment, 176, 177
Lyapunov-based design, 15, 16, 25
Lyapunov’s first method, 45, 46, 49, 53, 54
magnetic actuators, 2 4
mechanical system, 190, 200
missile guidance problem, 247, 248, 253
missile autopilot, 57, 58, 60, 70
model-based simulation, 177, 183
natural frequency, 198, 199
Navier–Stokes equation, 175, 178
neuro-fuzzy-fractal approach, 221, 226, 228
nonlinear dynamic systems, 221, 222, 228
nonlinear Lagrange equations of the second
type, 261
nonlinear multiconnected objects, 261, 268
nonmaneuvering targets, 235, 244
open-loop system, 103, 105, 115
optimal control problem, 271–276, 301
optimization, 320, 322
open-loop control, 137
output tracking, 89, 97, 98, 100334 Subject Index
partial differential equations, 271, 275, 289,
290, 300, 301
passive noise control, 205, 207
periodic disturbance, 15, 16, 19, 26
phase-difference measurements, 117, 119,
122, 127, 134
predictive control, 73, 74, 86
pursuit-evasion motion, 247, 252
quaternion estimation, 117, 122
reentry vehicle, 45, 46, 54
restricted control, 261, 268
robustness, 247, 257
rotorcraft dynamics, 74
sandwich beam problems, 271, 289, 295, 298
scheduling variables, 57, 58, 60, 62, 69
scalar Lyapunov function, 89, 94
self-straining actuators, 30, 31
(semi-) definite vector functions, 89
simulation, 2, 12, 57, 67, 68
shape of vibration, 193
shell contour, 205, 210, 212, 213
simulation, 117, 119, 127, 134, 221, 226, 228
spacecraft attitude control, 2, 309, 310, 316,
324
spacecraft formation flying, 16, 24
stability regions, 103, 104, 109, 110, 114,
115
stabilizing (discontinuous) feedback, 137
state feedback, 1–3
stiffness distribution, 193, 199, 200, 202, 203
stiffness matrix, 190, 191, 193, 197, 203
structural-acoustical optimization, 205, 207,
209–211, 215
structural system, 189, 190, 200
subsonic airflow, 29, 30
Takagi–Sugeno fuzzy system, 57, 58, 61, 69
thermoelastic problems, 271, 293, 295
three-dimensional ideal proportional
navigation, 232, 235, 242
torsion angle, 30, 31
trajectory tracking, 16
transient processes, 261, 262, 265–269
two-parameter family of boundary
conditions, 30, 32
unstable aircraft dynamics, 103
vector Lyapunov functions, 89, 90, 93, 94,
100, 311
wave equations, 155, 157, 158
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