Decentralised static output feedback stabilisation of networks with H2performance

Authors:
Prathyush P. Menon;Christopher Edwards
Affiliations:
Department of Engineering, University of Leicester, Leicester, UK;Department of Engineering, University of Leicester, Leicester, UK
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

In this paper global stabilisation of a complex network is attained by applying local decentralised static output feedback control, ensuring guaranteed bounds on quadratic performance. Necessary conditions for stabilisation of a complex network with quadratic performance are derived as a convex LMI representation. Strict positive realness conditions on the node level dynamics allow nonlinearities/ uncertainties, which satisfy sector conditions, to be considered. A randomly generated academic example with 10 nodes is used to demonstrate the efficacy of the approach.