This paper addresses the problem of optimal control system design for networked control systems. We focus on a situation where the plant is single-input single-output and the communication link between the controller and the plant is signal-to-noise ratio constrained. In this setting, we characterize the controllers that minimize the tracking error variance, while respecting the channel signal-to-noise ratio constraint. We also provide a description of the optimal tradeoff curve in the performance versus signal-to-noise ratio plane and, as a byproduct, we establish easily computable bounds on the achievable performance. We illustrate our results with a numerical example based on a bit rate limited channel.
17th World Congress of the International Federation of Automatic Control (IFAC 2008). Proceedings of the 17th World Congress of the International Federation of Automatic Control (Seoul, Korea 6-11 July, 2008) p. 5167-5172