Title :
On the identification of polynomial input-output differential systems
Author :
Pearson, A.E. ; Lee, F.C.
Author_Institution :
Brown University, Providence, RI, USA
fDate :
8/1/1985 12:00:00 AM
Abstract :
A least-squares parameter identification technique is formulated for a class of deterministic nonlinear systems modeled by polynomial input-output differential equations. The basis of the technique is Shinbrot´s method of moment functionals using trigonometric modulating functions. Given the input-output data over a single finite time interval for a one-shot estimate, or over a sequence of finite time intervals for sequential least squares, the underlying computations utilize a fast fourier transform algorithm on polynomials of the data without the need for estimating unknown initial or boundary conditions at the start of each finite time interval.
Keywords :
Least-squares methods; Parameter identification, nonlinear systems; Polynomials; Boundary conditions; Differential equations; Discrete Fourier transforms; Fast Fourier transforms; Least squares approximation; Moment methods; Nonlinear systems; Parameter estimation; Polynomials; Signal processing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1104051