Advanced Modern Control System Theory and Design

INDEX

Acceleration constant:

definition of, 577

determination from Bode diagram, 62

relationship to poles and zeros, 584–585

Accuracy, static, 574–585

Ackermann's formula for design using pole placement, 137–143

application example of, 139–143

Adaptive control systems, pitch flight, 111–117

Advanced z transform:

characteristics of, 233–236

table of, 235

Aircraft: adaptive pitch flight control of, 111–117

Analog-to-digital converters, 209–221

Antennas of tracking radars, mechanical resonance of, 508–510

APOLLO 11 mission, description of, 488–492

Aquaculture control system, optimal control application to, 499–500

Asymptotic stability, definition of, 408–414

Autopilots, control of airplane's roll using, 544–546

Backlash, definition of, 341–342

describing function of, 342–344

back_lsh subroutine, Toolbox, 356

Bandwidth:

effect of compensation on, 58, 93–96

effect of noise on, 58

BASIC computer program:

describing function from, 363–369

Inverse z transform, 227–231

Bilinear transformation, 252

modified, 257

Bode-diagram method, 16–21, 24–25

approximate closed-loop response, 24–25

break frequency of, 24–25

case study design examples using, 507–516

compensation using, 51–74

digital system application of, 256–262, 528–537

examples of, 54–67

MATLAB used to obtain, 16–21

Bode's theorems:

first theorem, 51–54

second theorem, 54–55

Break frequency, definition of, 24–25

Calculus of variations, 462–467

Bolza problem, 463

Euler-Lagrange equation for, 465

example of, 465–467

Lagrange problem, ...