A resonant filter approach is proposed for direct identification of continuous-time transfer functions from input-output data when the input contains significant periodic components. The asymptotic properties of the method are analysed; in particular, the noise reduction properties are emphasized. A simulation example is given to demonstrate the properties of the algorithm. By using a set of experimental data collected from a food cooking extruder, the proposed method has been compared with a well-known frequency response method.
EykhoffP.System Identification, 1974 (John Wiley, New York).
2.
GoodwinG. C.PayneR. L.Dynamic System Identification, 1977 (Academic, New York).
3.
GodfreyK.Perturbation Signals for System Identification, 1993 (Prentice-Hall, Englewood Cliffs, New Jersey).
4.
van den BosA.KrolR. G.Synthesis of discrete-interval binary signals with specified Fourier amplitude spectra. Int. J. Control, 1979, 30, 871–884.
5.
Van der OuderaaE.SchoukensJ.RenneborgJ.Peak factor minimization of input and output signals of linear systems. IEE Trans. Instrumn Measmt, 1988, 37, 207–212.
6.
AströmK. J.HagglundT.Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica, 1984, 20, 645–651.
7.
åstromK. J.HagglundT.Automatic Tuning of PID Controllers, 1988 (Instrument Society of America, Research Triangle Park, North Carolina).
WangL.DesarmoM.CluettW. R.Real-time estimation of process frequency response and step response from relay feedback experiments. Automatica, 1999, 35, 1427–1436.
GoodwinG.C.WelshJ.Analysis of a novel method of autotuning a multivariable plant based on quantization. In American Control Conference, 1999.
23.
CluettW. R.WangL.Frequency smoothing using Laguerre model. IEEE Proc., Part D, Control Theory Applic., 1992, 139, 88–96.
24.
PintelonR.SchoukensJ.Identification of continuous-time systems using arbitrary signals. Automatica, 1997, 33 (5), 991–994.
25.
SchoukensJ.PintelonR.VandersteenG.GuillaumeP.Frequency-domain system identification using non-parametric noise models estimated from a small number of data sets. Automatica, 1997, 33 (6), 1073–1086.
WangL.CluettW. R.Frequency-sampling filters: An improved model structure for step-response identification. Automatica, 1997, 33, 939–944.
28.
GawthropP.J.WangL.Transfer function and frequency response estimation using resonant filters. In Proceedings of the 12th IFAC Symposium on System Identification (SYSID 2000), Santa Barbara, California, June 2000.
29.
WangL.DesarmoM.CluettW. R.Recursive estimation of process frequency response and step response from relay feedback experiments. Automatica, 1999, 35 (8).
30.
KailathT.Linear Systems, 1980 (Prentice-Hall, Englewood Cliffs, New Jersey).
31.
LjungL.System Identification: Theory for the User, Information and Systems Science, 2nd edition, 1999 (Prentice-Hall, Englewood Cliffs, New Jersey).
