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

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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 and Mohamed Aoun. Article: Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems. International Journal of Computer Applications 137(14):1-7, March 2016. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article,
	author = {Ghazi Bel Haj Frej and Assem Thabet and Mohamed Boutayeb and Mohamed Aoun},
	title = {Article: Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems},
	journal = {International Journal of Computer Applications},
	year = {2016},
	volume = {137},
	number = {14},
	pages = {1-7},
	month = {March},
	note = {Published by 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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Keywords

Large Scale System, Interconnected System, Decentralized Observer, Feedback Control