An optimization-based approach to sampled-data control of networked control systems with multiple delays

A networked control system (NCS) is a control system in which plants, sensors, controllers, and actuators are connected through communication networks. In this paper, the optimal sampled-data control problem of linear systems with multiple time delays, which is one of the fundamental problems in NCSs, is considered, where multiple time delays and the sampling period are uncertain. First, the problem is transformed into the optimal control problem of discrete-time uncertain linear systems, where the intersample behavior is considered in the cost function. Next, under a certain assumption, the obtained problem is further transformed into a convex quadratic programming problem. Finally, a numerical simulation is presented.