gelb_index_ocr

gelb_index_ocr - Absolute-value nonlinearity, 351 Atherton,...

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Absolute-value nonlinearity, 351 Accuracy (see Describing functions) Adaptive control system, 323, 327-332 missile roll control, 332-341 Aizerman, M. A,, 162n., 199, 206 Amplitude-phase plot Gain-phase plot) Amplitude-ratio condition, 308, 319, 336, 338 Amplitude-ratio-decibel conversion table, 515-517 Amplitude-regulating loop Limit cycle) Amplitude transfer function, 233-237 Amsler, B. E., 259 Approximator for a nonlinearity, 19 Artificial dither Dither) Asymmetric nonlinearity, 300 in limit cycle calculations, 340-345 piecewise linear, 3 1 1 Asymptotic methods, 43 Atherton, D. P., 19, 30, 108, 368, 387, 3 96 Attenuation of harmonics, 172 Autocorrelation function, 636 Autoresonance hypothesis, l62n. Averaging, method of, 45 Axelby, G. S., 368 Backlash, 67 friction-controlled, 68-69 inertia-controlled, 68, 70-71 viscous friction plus inertia load, 77- 79 Bang-bang nonlinearity Ideal relay nonlinearity) Barker, H. A., 222 Barrett, J. F., 368 Bass, R. W., 181-183 Battin, R. H., 629 Bautin, N., 125
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222 650 INDEX Bennett, W. R., 255 Bergen, A. R., 188, 498 Bessel function, 65, 266, 378-380 Biased-output ideal-relay, 343-344 Biased subharmonic mode, 270 Bode plot, 117 Bogoliubov, N., 42, 45, 180-181, 220- Bohn, E. V., 198 Bonenn, Z., 132,280 Booton, R. C., Jr., 19, 368, 369, 399 Boyer, R. C., 354n. Brockett, R. W., 185n. Bulgakov, B. V., 181 Burrington, R. S., 375 Cahen, G., 121 Calculation of describing functions approximate, 89-96, 385-392 DF, 54-85 DIDF, 305-3 17 EIDF, 454-456 RIDF, 370-385 sampled describing function, 475, 484- 492 TSIDF, 253-267 Caron, J. Y., 367 Central limit theorem, 634 Characteristic equation, 113, 155, 323, 496 Chatter (see Limit cycle) Chebyshev polynomial, 108 Chen, K., 438, 442-449,452-453 Chow, C. K., 474,490 Chuang, K., 368 Clauser, F. H., 222 Clegg integrator, 79, 126-127, 151, 315- 317 Coales, J. F., 368 Compensation techniques linear compensation, 145-148,33 1-332, 407-41 1, 470 nonlinear model feedback, 148-151 other nonlinear networks, 15 1-1 54, 411-414 Complete elliptic integrals, defined, 258 Conditionally stable system, 286, 325 Contactor (see Ideal relay nonlinearity) Control system, feedback, 3 Corrected-conventional describing func- tion, 85, 109 Cosgriff, R. I., 431 Coulomb friction, rotary, 105 Covariance, 633 Cross-correlation equivalence, 22, 24 Cross-correlation function, 636 Cross power spectral density function, 640 Cubic nonlinearity, 65, 116, 136, 243, 253, 265-269, 296, 315, 357, 372, 402,491 Culver, W. J., 367 Cunningham, W. J., 205 Da-Chuan, S., 506 Damping ratio, 47 Davenport, W. B., Jr., 629 D'Azzo, J. J., 85 Dead zone, 4-6 (See also Relay with dead zone) Deadband gain (see Dead zone) Decibel (see Amplitude-ratio-decibel con- version table) Delay time, 447 Delfeld, F. R., 506 Describing functions applicability, 15, 16 limitations, 16 model of the nonlinearity, 19 multiple inputs of the same form, 33-34 point of view, 14 for specific signal forms, 25-33 for small signals, 34-37, 303-304, 426-427 a unified theory of, 18-37 (See also specific types) DF (see Sinusoidal-input describing func- tion) DIDF (see Dual-input describing func- di Tada, E. G., 97 Dither, 339, 345-357 linearizing effect of, 349 random, 415-420 sinusoidal, 348 square-wave, 348 triangular-wave, 346-348 Dixon, M. V., 490 Double Fourier series expansion, 255- 260 Douce, J. L., 253, 271, 272, 411
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Dominant behavioral modes, 447 Drive capability, choice of, 327 Dual-input describing function, 298-364 tabulation of, 539-553 Dual-mode
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This note was uploaded on 02/03/2012 for the course AERO 16.30 taught by Professor Ericferon during the Spring '04 term at MIT.

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gelb_index_ocr - Absolute-value nonlinearity, 351 Atherton,...

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