Robust stabilization of networked control systems with multiple-packet transmission via jump system approach

A jump system approach to stabilization and robust stabilization of networked control systems (NCSs) with multiple-packet transmissions are addressed. We focus our attention on the case that the packets are transmitted via limited capacity communication channels. Sufficient conditions on the mean square stabilization of NCSs are obtained in terms of linear matrix inequalities (LMIs). Non-fragile state feedback controller can be constructed directly via LMIs. A numerical example is worked out to demonstrate the effectiveness of the proposed method.