Robust Stabilization of Multiple Coupled Networked Control System via Jump Linear System Approach

Robust stabilization of multiple coupled networked control system (NCSs) exchanging information over a shared communication network is addressed in this paper. Only one subsystem is assumed to access the network to transmit its state information at a time. We model such coupled NCSs with multiple packet transmission and packet dropout as a class of jump linear systems. A sufficient condition on robust stabilization of the NCSs with norm-bounded parameter uncertainties is derived in terms of linear matrix inequalities (LMIs). Constant stabilizing state feedback controllers can then be constructed by using the feasible solutions of some LMIs. A numerical example is given to illustrate the feasibility and effectiveness of the proposed approach.