Modelling and control of networked systems via jump system approach

The problem of data packet dropout induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the NCSs with data packet dropout as jump linear systems. With a freedom matrix introduced, new equivalently sufficient conditions on the mean square stabilisation of NCSs are obtained in terms of linear matrix inequalities (LMIs). Constant stabilising state-feedback controllers can then be constructed by using the feasible solutions of some LMIs. A numerical example illustrates the effectiveness of the proposed approach.