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Identification of coefficients of a low order continuous time transfer function from discrete-time recorded measurements

Janiszowski K. B.

Archives of Control Sciences

2000

Vol. 10, no. 1/2

31-46

The paper deals with a problem of identification of parameters of a continuous time (CT) transfer function for low order linear systems with discrete-time (DT) recorded data. Algorithms for a direct estimation of the CT-coefficients are developed from rules for transformation of a CT-transfer function controlled via a zero-order sampling unit into DT-representation. Two schemes are derived and tested: one based on the Goodwin transformation and the second derived from the modified Tustin transformation. Both approaches have resulted in similar relations, which can be used for direct estimation of the CT-coefficients of the model of an investigated system. The numerical schemes contain some expressions, that are like DT-differences and in effect they can magnify impacts of different disturbances. Therefore the paper presents results of extended testing of both schemes including different type disturbances; measurement noises, slow varying drifts, measurement resolution errors together with changes of the sampling time. A model is used of a third order linear servomechanism system with oscillating and integration actions. A comparison with results determined by the LS-recursive scheme is presented.