Algorithms and software for approximating and evaluating FIR filters

Michiels W., Unal H. U.

13th European Control Conference (ECC), Strasbourg, France, 24 - 27 June 2014, pp.436-441 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/ecc.2014.6862352
  • City: Strasbourg
  • Country: France
  • Page Numbers: pp.436-441
  • Anadolu University Affiliated: Yes


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 L-2 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.