Analysis and Control of Linear Systems

Index

A

action
combined 303, 321
integral 289, 295, 301, 307, 308, 312, 314, 376
proportional 288, 295, 301, 314
approximation
Pade 246
Tustin s 246

B

Black diagram 21
Black-Nichols diagram 256, 270
Bode diagram 21, 96, 97, 287, 299-302, 303, 307, 308, 485, 487, 507

C

canonical form 71, 73, 78, 155, 215, 219,
Brunovsky 110, 121, 122, 124, 125
Jordan 114-116, 118, 123, 127, 190, 192
Kronecker 110, 114, 118-124, 126, 128
Morse 110, 125, 127, 129, 130
Smith 114, 115, 131
Smith McMillan 131
Weierstrass 116, 117
causality 7, 9, 16, 88
convergence band 36, 37
corrector
parallel 293
PD 306
PI 307-309, 312
PID 310, 312, 313
serial 289, 290, 293

D

decoupling 133-136, 445, 448, 451, 452, 460, 462, 467, 470, 475
differential equation
linear 197, 228, 231, 232, 235, 527
non-linear 197, 199, 524
Dirac impulse 4-6, 9, 34, 37, 143, 144, 151

E

equation
Bezout 329, 341, 362
differential 15, 16, 46, 103, 199, 231, 234, 236, 238, 496, 531, 533
Diophantus 335, 336, 377
Lyapunov 227, 231, 233, 406, 407, 410, 421, 426, 438
Riccati 171, 172, 174, 175, 178-180, 189, 191, 410, 420, 421, 426, 488, 489
error
dynamic 271, 277, 285, 287
static 271-274, 284, 289, 295, 301, 304, 308, 311, 314, 317, 320, 376, 482
Euler s method 239, 245, 246

F

filter
Kalman 412, 415
non-observable 488
Fourier transform 14, 18, 33, 34, 41, 142-145, 147, 149-151
continuous-time 88, 142-144
discrete-time 88, 96, 142-144

I

internal stability 132, 133, 135,...

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