A, B, C
- analog computer, –5, , 21, 22
- black box model, 107–109, 116
- Bode diagram, 27–32, 49–51
- Bromwich contour, 130, 156, 157
- Caputo derivative, 193, 195, 196, 198, 201, 202, 204, 206, 209, 211, 212, 214, 215, 217, 243, 244, 250, 253, 257, 262, 263
- closed-loop representation, 182, 185
- commensurate order model, 82, 88, 89, 91, 96, 97, 101–103
- convolution equation, 133
D, E, F
- diffusive
- interface, 81–88, 90, 96–98, 101, 102
- representation, 134, 159, 176, 178, 183
- discrete impulse response (DIR), 70, 71, 74, 78
- distributed
- exponential function, 248, 260
- flow diagram, ,
- fractional
- differential equation (FDE), , 17, 18, 20
- differential system (FDS), 159, 160, 162, 165, 168, 173, 175, 180, 182
- differentiation, 193, 194, 199
- integrator, , , 16, 17, 20, 26, 28, 33, 39–41, 45, 47, 49, 129, 130, 134, 137, 138, 142, 144, 147, 149, 152, 153, 155, 156
- modeling, 81
- order, , , , , 15, 16
- frequency
- discretization, 227, 229, 238
- distributed model, 129, 130, 134, 138, 140, 147, 155
- distribution, 48
- synthesis, 28, 41
G, H, I
- geometric distribution, 28
- heat
- Heaviside function, 245, 254, 258
- identification, 107–109, 115, 117–120, 123, 125
- implicit derivative, 195, 198–200, 205, 208, 212, 244, 257, 258, 262
- impulse response, 12, 15
- induction motor, 107–110, 113, 125
- infinite
- initial conditions, 193–195, 197–199, 202, 204–210
- initialization, 130, 156, 159, 172
- internal state variable, 34, 37, 39
- inverse Laplace transform, 129, 130, 142, 156, 159, 175, 177, 180, 183, 189
K, L, M
- knowledge model, 107, 108, 110, 112
- Laplace transform, , , 13, 14
- long memory phenomenon, 92
- matrix exponential, 229, 236
- Mittag-Leffler
- approach, 219, 221, 227, 235, 237
- function, 72, 75, 78, 160, 168, 169, 183–187, 189
- modal model, 37, 40, 41, 129, 136, 138
N, O, P
- nonlinear optimization, 119, 122, 123
- numerical simulation, 56, 72, 244
- open-loop representation, 160, 176
- ordinary differential equation (ODE), –6, , , 21, 22
- output error method (OE), 118, 120, 122
- parameter estimation, 98
- partial derivative equation (PDE), 81, 82
- power function, 246, 259
R, S
- repeated integration, 10, 12
- response
- forced, 162, 165, 179, 181, 219, 237, 238, 240
- free, 162, 165, 167, 170–172, 179, 221, 223, 225, 234, 237, 238
- rotor bar, 109–115
- short memory principle, 56, 63, 65, 66, 74, 78
- sine function, 244, 249, 261, 263
- skin effect, 110, 111, 114
- spatial Fourier transform, 149, 150, 155
- state space model, , 20
- static simulation error, 66
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