Evaluating and Approximating FIR Filters: An Approach Based on Functions of Matrices

Author

Michiels, Wim ; Unal, Hakki Ulas

Author_Institution

Dept. of Comput. Sci., KU Leuven, Heverlee, Belgium

Volume

60

Issue

2

fYear

2015

fDate

Feb. 2015

Firstpage

463

Lastpage

468

Abstract

Most of the controllers designed for systems with timedelays involve finite impulse response (FIR) filters in their structure, in particular prediction based controllers for systems with input/output delays. We present theory, algorithms and software to evaluate the frequency response, to approximate the filters by stable linear timeinvariant 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; control system synthesis; frequency response; frequency-domain analysis; linear systems; matrix algebra; predictive control; FIR filters; finite impulse response filters; frequency domain representations; frequency response; induced L₂ gain; input-output delays; linear time-invariant systems; matrix functions; pole zero cancelations; prediction based controllers; time delays; Approximation algorithms; Approximation methods; Control systems; Delays; Eigenvalues and eigenfunctions; Finite impulse response filters; Prediction algorithms; Finite impulse response (FIR) filters; Pad?? approximation; functions of matrices; time-delay;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2326295

Filename

6819394