A Möbius Transform Approach for Improved MIMO Frequency Domain Identification
Paper in proceeding, 2021

To improve the numerical conditioning of a frequency domain subspace algorithm (FSID) when identifying continuous time transfer functions a general Mobius transformation can be employed. The Mobius transformation is a more general class of transformations which include the bilinear transformation as a special case. For the state-space model class of MIMO transfer functions we derive the relations describing how the state-space realization of a transfer function is converted under a Mobius transformation. With an extensive numerical example we illustrate that a particular choice of the Mobius transformation leads to transfer function estimates with, in general, significantly improved accuracy. Copyright (C) 2021 The Authors.

Frequency domain identification

System identification

Mobius transformation

Subspace methods

Continuous time system estimation

Author

Tomas McKelvey

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Signal Processing

Andrei Osipov

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Signal Processing

Thomas Rylander

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering, Signal Processing

IFAC-PapersOnLine

2405-8963 (ISSN)

Vol. 54 7 791-796

19th IFAC Symposium on System Identification (SYSID)
Padova, Italy,

Subject Categories

Computational Mathematics

Probability Theory and Statistics

Mathematical Analysis

DOI

10.1016/j.ifacol.2021.08.458

More information

Latest update

10/13/2021