Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2326295
