Finite time stabilization of the four tanks system: extensions to the uncertain systems
type: Item
instance of: scholarly article
title: Finite time stabilization of the four tanks system: extensions to the uncertain systems
zbMATH Open document ID: 1406.93236
DOI: 10.1155/2014/964143
author: Chakib Ben Njima
author: Walid Ben Mabrouk
author: Hassani Messaoud
author: G. Garcia
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider the finite time stability and stabilization of linear systems described in continuous time. First, we provide a condition for the stability over time using the state transition matrix standard. Then we give conditions to design a state feedback control that stabilizes the system over time. In some cases where there is uncertainty in the system model, the previous conditions are extended to a certain class of uncertain systems. The considered uncertainties are the polytopic and norm bounded ones. To reveal the proposed approach, an application to the four tanks system was made.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 7023411
zbMATH Keywords: finite time stabilization
zbMATH Keywords: uncertain linear systems
zbMATH Keywords: state feedback control
Wikidata QID: Q59043165
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/964143
OpenAlex ID: W2002019747
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description: scientific article; zbMATH DE number 7023411