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Sensitivity of the continualization of poles and its effect in system identification

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2 Author(s)
Rabbath, C.A. ; Dept. of Mech. Eng., McGill Univ., Montreal, Que., Canada ; Hori, N.

In a continuous-time parameter identification process which uses a digital data acquisition system, the form in which the discrete-time model of the dynamic system is represented influences the performance of the estimation process. In this paper, it is shown that alternatives to the conventional representation of discrete-time systems, which uses the z operator, possess pole-transformation sensitivity magnitudes converging to unity as the sampling interval approaches zero, while that of the z form becomes unbounded. This fact is shown to influence the accuracy of continuous-time pole estimates and favors the use of alternatives to the widely-used z operator in practical implementations of discrete-time systems, as provided with experiments and simulations on a voice-coil-driven flexible positioner.

Published in:

Control Applications, 1997., Proceedings of the 1997 IEEE International Conference on

Date of Conference:

5-7 Oct. 1997