Controller design of networked control systems with multiple delays using interval methods

In this paper, the optimal sampled-data control problem of linear systems with multiple time delays, which is one of the fundamental problems in a networked control system (NCS), is considered. An NCS is a control system in which plants, sensors, controllers, and actuators are connected through communication networks. As a typical situation, we suppose that multiple time delays and sampling period are uncertain. First, the optimal control problem is transformed into that of discrete-time uncertain linear systems. Next, under a certain assumption, the obtained problem is further transformed into a quadratic programming problem. In the proposed method, interval arithmetic is effectively used. Finally, a numerical simulation is shown.