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Easy-Implementable On-line Identification Method for a First-Order System Including a Time-Delay

出版	INTECH Open Access Publisher, 2010
ISBN	95330702429789533070247
URL	http://books.google.com.hk/books?id=EOrZoAEACAAJ&hl=&source=gbs_api

註釋As the real number Laplace method includes a numerical integral computation, this method appears seemingly to require much memory at the implementation, but it is not true. This worry will be removed by the following two artifices. The first artifice is a preliminary computation of the constant terms of the equations. Generally, in case of an on-line identification methods based on the least-square computation, the regressor vector includes time-varying variables that come from the measured signals; hence, it is necessary to compute them on-line. And as shown in Eq. (12), the inverse matrix computation of (T)-1 is included. Thus, the normal least-square-based method requires an on-line inverse matrix computation. This computation requires a high level of the arithmetic operation; hence, it is not welcomed for the computer device of a consumerlevel product. Meanwhile, in case of the real number Laplace method, is a constant matrix as . . := [(1) T . (M) T] T, where (i) is a constant vector given by Eq. (7), and this computation can be finished offline. Thus, troublesome inverse matrix computation can be replaced by simple summation and multiplication.