Title :
Suboptimal model reduction via least-square approximation of time-response by its derivatives and integrals
Author :
Vilbe, P. ; Calvez, L.C. ; Sevellec, M.
Author_Institution :
Univ. de Bretagne Occidentale, Brest, France
Abstract :
The reduction of an SISO system is formulated as the minimisation of the l2 criterion. Expansions of a time-response function in terms of its derivatives and integrals are proposed. Approximation of the quadratic criterion reduces the nonlinear determination of the denominator to a simple linear system resolution. An efficient method for evaluation of the required scalar products of repeated integrals and derivatives is proposed.
Keywords :
identification; integral equations; least squares approximations; linear systems; minimisation; step response; transient response; SISO system; derivatives; integrals; l 2 criterion; least-square approximation; minimisation; quadratic criterion; scalar products; suboptimal model-reduction; time-response function;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19920108
