An Lmi Approach to Robust Stabilization of Networked Control Systems

The problem of robust stabilization of discrete-time uncertain networked control systems (NCSs) in the presence of packet losses and transmission delays is studied. We model such systems as discrete-time nonlinear systems with delayed input. Sufficient conditions on the stabilization of the NCSs are presented. Stabilizing state feedback controllers can be constructed by using the feasible solution of some linear matrix inequalities (LMIs). One advantage of our method is that the maximum bound on the nonlinearity can be computed by solving a constrained convex optimization problem, another advantage is that the upper bound on the delayed input can be obtained by solving a quasi-convex optimization problem.Copyright c ©2005 IFAC