Stabilization of Control Systems with a Periodic Communication Constraint by an Observer-based Controller

Abstract

This paper considers a stabilization problem for a communication system where a controller and a plant are linked with a network bus. The network bus usually has a capacity constraint so that it is impossible to transmit or receive all data at the same time which we need to control the plant. In this paper, we assume a periodic constraint of the data transmission. To solve such a stabilization problem with the periodic constraint, we adopt a periodic observer-based controller. Furthermore, we derive stabilizability and detectability conditions for the system and develop the design method of the periodic controller gain.