Sub-optimal control over AWGN communication network

In this paper a sub-optimal control technique is proposed for a linear Gaussian system with a few distributed interacting sub-systems. Controller of each sub-system has only access to its own measurement and a noisy version of measurement and control vectors of other sub-systems that are communicated through an Additive White Gaussian Noise (AWGN) communication network. The power to be allocated to each transmitter antenna is calculated so that the received signal is the transmitted signal plus additive white Gaussian noise. Under some conditions it is shown that the proposed suboptimal control technique results in bounded mean square stability. The satisfactory performance of the proposed technique in stabilizing the dynamic system over communication channels with small noise is illustrated by computer simulations.