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

fYear

2014

fDate

24-27 June 2014

Firstpage

436

Lastpage

441

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862352

Filename

6862352