Lin Xiao, Mikael Johansson, Haitham Hindi, Stephen Boyd, and Andrea Goldsmith
We consider a linear control system in which several signals are transmitted over communication channels with bit-rate limitations. With the coding and medium access schemes of the communication system fixed, the achievable bit-rates are determined by the allocation of communications resources such as transmit powers and bandwidths, to different communication channels. We model the effect of bit-rate limited communication channels by uniform quantization, and the quantization errors are modeled by additive white-noises whose variances depend on the achievable bit-rates. We optimize the stationary performance of the linear system by jointly allocating resources in the communication system and tuning parameters of the controller.
In IEEE Transactions on Automatic Control