Remote control of sampled-data systems under constrained communication

In implementing control systems using shared networks, it is important to consider the quality and the efficient usage of communication. In this paper, we consider a sampled-data remote control problem under two communication constraints: Multiple components of the system share the channels using a periodic transmission scheme while messages are randomly lost due to errors and delays in the channels. We develop a design method employing an H-infinity norm type criterion. This allows us to take account of the intersample behavior of the system. The approach is illustrated through a numerical example of a magnetic ball levitation system.