Static output feedback stabilisation and synchronisation of complex networks with ℋ2 performance
Prathyush P. Menon, Christopher Edwards · International Journal of Robust and Nonlinear Control · 2009
In 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 ℋ︁2 bounded performance using only measured output information. Copyright © 2009 John Wiley & Sons, Ltd.