Title :
Algorithms and software for approximating and evaluating FIR filters
Author :
Michiels, Wim ; Unal, Hakki Ulas
Author_Institution :
Dept. of Comput. Sci., KU Leuven, Heverlee, Belgium
Abstract :
The controllers designed for time-delays systems often involve finite impulse response (FIR) filters, in particular prediction based controllers for systems with input/output delays. We present algorithms and software to evaluate the frequency response, to approximate the filters by stable linear time-invariant systems and to compute their induced L2 gain. The approach is based on the theory of functions of matrices. In the approach pole zero cancelations in frequency domain representations are explicitly taken into account.
Keywords :
FIR filters; approximation theory; control engineering computing; control system synthesis; delays; frequency response; input-output stability; linear systems; matrix algebra; poles and zeros; FIR filter approximation; FIR filter evaluation; controller design; finite impulse response filters; frequency domain representations; frequency response evaluation; induced L2 gain; input-output delays; linear time-invariant system stability; matrix function theory; pole zero cancelations; prediction based controllers; time-delays systems; Approximation algorithms; Approximation methods; Delays; Eigenvalues and eigenfunctions; Finite impulse response filters; Software algorithms; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862352
