Worst-case optimal static output feedback for uncertain systems
type: Item
instance of: scholarly article
title: Worst-case optimal static output feedback for uncertain systems
zbMATH Open document ID: 1027.93034
DOI: 10.1023/A:1021556508005
author: C. Guarino Lo Bianco
author: A. Piazzi
published in: Optimization and Engineering
publication date: 2003-03-12T00:00:00Z
review text: This paper proposes a worst-case optimal approach to the synthesis of a static output feedback for a linear, time-invariant, multivariable system depending on uncertain parameters which nonlinearly affect a given state-space model. The aim is to seek an output-to-input feedback matrix that robustly stabilizes the closed-loop system while minimizing, over the uncertain parameter domain, the (worst-case) maximum of a composite quadratic index. The emerging minimax problem is shown to be exactly equivalent to a semi-infinite optimization problem for which an estimate of a global solution is obtained through a genetic/interval algorithm. This is a hybrid algorithm that combines a genetic algorithm (at the upper level) with an interval procedure (acting at the lower level). Computational results for a two-input two-output system are included.
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 90C47
Mathematics Subject Classification ID: 90C34
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 1880502
zbMATH Keywords: static feedback
zbMATH Keywords: worst-case design
zbMATH Keywords: semi-infinite optimization
zbMATH Keywords: hybrid algorithms
zbMATH Keywords: optimal synthesis
zbMATH Keywords: robust stabilization
zbMATH Keywords: output feedback
zbMATH Keywords: minimax problem
zbMATH Keywords: genetic algorithm
zbMATH Keywords: interval procedure
MaRDI profile type: Publication
full work available at URL: a:1021556508005
OpenAlex ID: W78217149
Wikidata QID: Q59096330
description: scientific article; zbMATH DE number 1880502