Parametric Identification of Systems Via Linear Operators.
Interim technical rept. Jun 77-Jul 78,
SYRACUSE UNIV N Y
Pagination or Media Count:
A general parametric identificationapproximation model is developed for the black box identification of linear time invariant systems in terms of rational transfer functions. The identification procedure is shown to consist of two basic parts the generation of a set of basic functions through a linear operation upon the input and output signals of the system, and the choice of an error criterion and its associated approximation scheme, which, when used along with the basis set, generate the numerator and denominator parameters of the transfer function. It is demonstrated that some known parametric identification techniques derive from the general model as special cases associated with a particular linear operator. Some possible operators are discussed on the grounds of their performance in an identification procedure. It is shown that certain operators are inherently ill-posed and generate a set of basis functions that is practically linearly dependent. In general, the performance of a linear operator will depend upon the data provided.
- Operations Research