Large-scale fractional-order systems: stability analysis and their decentralised functional observers design

This study concerns the stability analysis of linear large-scale fractional-order systems and its functional observers design. First, based on the diffusive representation of the fractional-order derivative and the indirect Lyapunov approach, the stability of large-scale fractional-order interconnec...

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Bibliographic Details
Published in:	IET control theory & applications Vol. 12; no. 3; pp. 359 - 367
Main Authors:	Boukal, Yassine, Darouach, Mohamed, Zasadzinski, Michel, Radhy, Nour-Eddine
Format:	Journal Article
Language:	English
Published:	The Institution of Engineering and Technology 13.02.2018 Institution of Engineering and Technology
Subjects:	asymptotic stability Automatic control system synthesis decentralised functional observers design diffusive representation Engineering Sciences estimation error asymptotic stability existence conditions fractional‐order derivative indirect Lyapunov approach interconnected systems large‐scale fractional‐order interconnected system stability linear large‐scale fractional‐order systems linear matrix inequalities linear matrix inequality formulation linear systems LMI multivariable systems observers observers gains matrices Research Article stability analysis stability condition linear large-scale fractional-order systems estimation error asymptotic stability observers gains matrices stability analysis large-scale fractional-order interconnected system stability indirect Lyapunov approach control system synthesis LMI linear systems asymptotic stability fractional-order derivative stability condition linear matrix inequality formulation diffusive representation linear matrix inequalities multivariable systems existence conditions decentralised functional observers design interconnected systems observers
ISSN:	1751-8644, 1751-8652
Online Access:	Get full text
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