On Model-Based Networked Control for Singularly Perturbed Systems

In this paper the control of two-time-scale plant, where the sensor is connected to a linear controller and actuator via a network, is addressed. The slow and fast systems of singularly perturbed systems are used to produce an estimation of the plant state between transmission instants, by which one can reduce the use of network. The approximate solutions of the systems are derived and it is globally shown that the whole systems via the network control are asymptotically stable as long as their slow and fast systems are both stable.