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Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems

by Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 137 - Number 14
Year of Publication: 2016
Authors: Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun
10.5120/ijca2016909036

Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun . Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems. International Journal of Computer Applications. 137, 14 ( March 2016), 1-7. DOI=10.5120/ijca2016909036

@article{ 10.5120/ijca2016909036,
author = { Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun },
title = { Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems },
journal = { International Journal of Computer Applications },
issue_date = { March 2016 },
volume = { 137 },
number = { 14 },
month = { March },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume137/number14/24445-2016909036/ },
doi = { 10.5120/ijca2016909036 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:38:20.948305+05:30
%A Ghazi Bel Haj Frej
%A Assem Thabet
%A Mohamed Boutayeb
%A Mohamed Aoun
%T Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 137
%N 14
%P 1-7
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper focuses on the design of decentralized state observers based on optimal guaranteed cost control for a class of systems which are composed of linear subsystems coupled by nonlinear time-varying interconnections. One of the main contributions lies in the use of the differential mean value theorem (DMVT) to simplify the design of estimation and control matrices gains. This has the advantage of introducing a general condition on the nonlinear time-varying interconnections functions. To ensure asymptotic stability, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are established to compute the control and the observation gains of the overall system. High performances are shown through numerical simulation of a power system with three interconnected machines.

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Index Terms

Computer Science
Information Sciences

Keywords

Large Scale System Interconnected System Decentralized Observer Feedback Control

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