Optimal Sparsely Distributed Static Output Feedback For Publisher/Subscriber Networked Systems With Parametric Uncertainties

This paper develops a framework for the design of \mathscrH2-based block row/column-sparse distributed static output feedback controllers for interconnected systems with polytopic uncertainties. The application of the proposed method will be in the networked systems using publisher/subscriber communication scheme in order to optimally select a subset of available publishers and/or subscribers in the network. We propose to incorporate two additional terms, that penalise the number of publishers and subscribers, into the optimisation index function, and then employ an explicit scheme and an iterative process to deal with this problem. A numerical example is used to demonstrate the effectiveness of the proposed approach in the simultaneous identification of favourable networks topologies and design of controller strategy.