Stability of model-based networked control singularly perturbed systems with time-varying transmission times

In this paper, the model-based networked control is addressed for singularly perturbed systems with time-varying transmission times. The slow and fast systems of singularly perturbed systems are used to approximate the plant state behavior, by which one can reduce the usage of network. Under the condition that their slow and fast systems are both Hurwitz stable, the approximate solutions of the whole systems are derived and it is shown that the whole systems via the network control are robust practically stable if the perturbation parameter is sufficient small.