Robust Stabilization of Networked Control Systems: an LMI Approach

This paper transforms the robust stabilization problem of a class of discrete-time networked control systems (NCSs) subject to non-linear perturbations under the effects of delays and data packet dropout to a constrained convex optimization problem. Such NCSs are modelled as discrete-time nonlinear systems with time-varying input delays. A sufficient condition is established in terms of a linear matrix inequality (LMI) which guarantees stability of the NCS and at the same time maximizes the nonlinearity bound. In addition, our result is extended to NCSs transmitted in multiple-packet manner using modified techniques.