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Static output feedback stabilisation and synchronisation of complex networks with H2 performance

By Prathyush P. Menon and Christopher Edwards


Metadata only entryIn this paper global stabilisation of a complex network is obtained 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. In addition, a centralised static output feedback controller is designed and its quadratic performance is compared with that of the decentralised one. Strict positive realness conditions on the node level dynamics allow nonlinearities/uncertainties, which satisfy sector conditions, to be considered. Two examples are used to demonstrate the efficacy of the approach. The first one is a randomly generated academic example with 10 nodes. The second example is based on a network formed from the interconnection of 20 Chua circuits. In both cases controllers are developed with 2 bounded performance using only measured output information

Topics: H2, stabilisation, output feedback, complex network, synchronisation
Publisher: John Wiley and Sons
Year: 2009
DOI identifier: 10.1002/rnc.1474
OAI identifier: oai:lra.le.ac.uk:2381/9731
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