On the model-based networked control for singularly perturbed systems with nonlinear uncertainties

The model-based networked control for a class of singularly perturbed control systems with nonlinear uncertainties is addressed in this paper. The approximate slow and fast systems of the plant, which are obtained by omitting the nonlinear uncertainties, are used as a model to estimate the state behavior of the plant between transmission times. The stability of model-based networked control systems is investigated under the assumption that the controller/actuator is updated with the sensor information at constant time intervals. It is shown that there exists the allowable upper bound of the singular perturbation parameter such that the model-based networked control system is global exponentially stable.