Geodesic
Identification of Low-Order Continuous-Time Models Via Discrete-Time Trends of Measurements
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 4, pp. 839-853

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The paper deals with the problem of continuous-time (CT) identification of parameters in transfer functions for low-order linear systems, based on recorded discrete-time (DT) data. Algorithms for direct estimation of CT parameters are developed from rules for transformation of a CT transferfunction controlled via a zero-order sampling-and-hold unit into a DT representation.Two schemes are derived and tested: the first is based on the Goodwin transformation and the other is derived from the modified Tustin transformation. Both the approaches result in relations which can be used for direct estimationof CT parameters in a model of the investigated system. The numerical schemes contain some expressions that are reminiscent of DT differences and consequently they may magnify disturbances. Therefore the results of extensively testing both the schemes including different types of disturbances, measurement noise, slow varying drifts, measurement resolution errors together with changes in the sampling time are presented. A model of a pneumatic servomechanism system was used as a test plant.
Keywords: continuous time, transfer function, discrete-time model, identification
Mots-clés : czas ciągły, funkcja przenoszenia, model dyskretny, identyfikacja 
@article{IJAMCS_1999_9_4_a5,
     author = {Janiszowski, K. B.},
     title = {Identification of {Low-Order} {Continuous-Time} {Models} {Via} {Discrete-Time} {Trends} of {Measurements}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {839--853},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a5/}
}
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Janiszowski, K. B. Identification of Low-Order Continuous-Time Models Via Discrete-Time Trends of Measurements. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 4, pp. 839-853. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_4_a5/