A new parametrization for static output feedback control of LPV discrete-time systems
type: Item
instance of: scholarly article
title: A new parametrization for static output feedback control of LPV discrete-time systems
zbMATH Open document ID: 1467.93114
author: Rafael N. Silva
author: Luciano Frezzatto
published in: Automatica
publication date: 2021-04-26T00:00:00Z
review text: The papers considers output feedback control of linear discrete time parameter varying control systems. Here, the parameters are assumed to belong to the unit simplex and the particular goal is to design a static feedback law which is stabilizing for all possible parameters values. Additionally, an a priori specified \(\ell_2\) gain should be ensured. The main result of the paper (Theorem 1) provides sufficient conditions for the existence of a static output satisfying these conditions in form of a parameter-dependent family of linear matrix inequalities. Due to the numerical infeasibility, the authors relax the assumptions on the parameters and, for the numerical examples, consider affined parameter dependencies. Several numerical examples validate the theoretical findings.
reviewed by: Tobias Breiten
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7338088
zbMATH Keywords: linear systems
zbMATH Keywords: time-varying systems
zbMATH Keywords: output feedback
zbMATH Keywords: discrete-time systems
describes a project that uses: YALMIP
describes a project that uses: Mosek
describes a project that uses: ROLMIP
MaRDI profile type: Publication
full work available at URL: j.automatica.2021.109566
OpenAlex ID: W3145537693
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DOI: 10.1016/J.AUTOMATICA.2021.109566
description: scientific article; zbMATH DE number 7338088