Set-membership filtering for time-varying complex networks with uniform quantisations over randomly delayed redundant channels

This paper investigates the set-membership filtering problem for a class of nonlinear time-varying complex networks with uniformly quantised measurements over redundant channels. The network output is subject to uniform quantisation and then the quantised signal is sent to the filter through redundant channels with random delays. The aim of the proposed problem is to design a set-membership filter such that, at each time instant, the filtering error dynamics is confined within a closed domain whose boundary is a hyper-ellipsoid. Sufficient conditions are proposed to guarantee the existence of addressed set-membership filter in terms of certain recursive matrix inequality. Subsequently, an optimisation problem is proposed to minimise the hyper-ellipsoid (containing the true network state) in the sense of trace and a computational algorithm is then provided. Finally, a simulation example is provided to demonstrate the effectiveness of our proposed method.