An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model

A new approach to build an interval observer for nonlinear uncertain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Sugeno (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates fo...

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Main Authors: Menasria Yamina, Bouras Hichem, Debbache Nasreddine
Format: Article
Language:English
Published: Polish Academy of Sciences 2017-09-01
Series:Archives of Control Sciences
Subjects:
Online Access:http://www.degruyter.com/view/j/acsc.2017.27.issue-3/acsc-2017-0025/acsc-2017-0025.xml?format=INT
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author Menasria Yamina
Bouras Hichem
Debbache Nasreddine
author_facet Menasria Yamina
Bouras Hichem
Debbache Nasreddine
author_sort Menasria Yamina
collection DOAJ
description A new approach to build an interval observer for nonlinear uncertain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Sugeno (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced.
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spelling doaj.art-d157b43b9f2d4094b832dd70fecec0192022-12-22T03:48:46ZengPolish Academy of SciencesArchives of Control Sciences2300-26112017-09-0127339740710.1515/acsc-2017-0025acsc-2017-0025An interval observer design for uncertain nonlinear systems based on the T-S fuzzy modelMenasria Yamina0Bouras Hichem1Debbache Nasreddine2Department of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, AlgeriaDepartment of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, AlgeriaDepartment of Electronic, Badji Mokhtar University, Po. Box 12, 23000, Annaba, AlgeriaA new approach to build an interval observer for nonlinear uncertain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Sugeno (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced.http://www.degruyter.com/view/j/acsc.2017.27.issue-3/acsc-2017-0025/acsc-2017-0025.xml?format=INTT-SmodelT-S proportional observerinterval observertime-varying systems
spellingShingle Menasria Yamina
Bouras Hichem
Debbache Nasreddine
An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
Archives of Control Sciences
T-Smodel
T-S proportional observer
interval observer
time-varying systems
title An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
title_full An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
title_fullStr An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
title_full_unstemmed An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
title_short An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
title_sort interval observer design for uncertain nonlinear systems based on the t s fuzzy model
topic T-Smodel
T-S proportional observer
interval observer
time-varying systems
url http://www.degruyter.com/view/j/acsc.2017.27.issue-3/acsc-2017-0025/acsc-2017-0025.xml?format=INT
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AT menasriayamina intervalobserverdesignforuncertainnonlinearsystemsbasedonthetsfuzzymodel
AT bourashichem intervalobserverdesignforuncertainnonlinearsystemsbasedonthetsfuzzymodel
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