Robust stabilization of nonlinear sampled-data systems

A new approach is proposed in this paper to study robust stabilization of a class of sampled-data systems with non-linear uncertainties. It is assumed that the systems are closed via a network channel which may be subject to data packet dropout and communication delays. Such networked sampled-data systems are modelled as continuous-time nonlinear systems with delayed input. Sufficient conditions on the existence of stabilizing state feedback controllers are established in terms of linear matrix inequalities (LMIs). The maximum bound on the nonlinearity can be computed by solving a constrained convex optimization problem. Moreover, the upper bound on the delayed input can be obtained by solving a quasi-convex optimization problem. Finally, a simulation example is presented to illustrate the efficiency and feasibility of our proposed approach.