Title: The condition number of the static gains matrix as a quality index in LPV IO MIMO multi-objective identification

Authors: Oscar Daniel Chuk; Gustavo Juan Eduardo Scaglia; Carlos Gustavo Rodriguez Medina

Addresses: Facultad de Ingeniería, Universidad Nacional de San Juan, Av. Libertador S. Martín 1109 (o), 5400, San Juan, Argentina ' Facultad de Ingeniería, Universidad Nacional de San Juan, Av. Libertador S. Martín 1109 (o), 5400, San Juan, Argentina ' Facultad de Ingeniería, Universidad Nacional de San Juan, Av. Libertador S. Martín 1109 (o), 5400, San Juan, Argentina

Abstract: A quality index of linear multivariable models is presented in this paper, with application to linear parameter varying (LPV) systems. The index is based on the condition number of the static gains matrix of the process. An example of use in the identification by means of multi-objective optimisation of a non-linear process of two inputs and two outputs verifies the importance of the use of such index, in particular, if the identified model will be used for the synthesis of controllers.

Keywords: condition number; modelling; multivariable systems; directionality of a system; linear parameter varying systems; parameter identification; multi-objective optimisation.

DOI: 10.1504/IJMIC.2020.113293

International Journal of Modelling, Identification and Control, 2020 Vol.35 No.1, pp.20 - 28

Received: 18 Jul 2019
Accepted: 19 Apr 2020
Published online: 26 Feb 2021 *

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