Optimal LQG control via limited capacity communication networks

The paper addresses a linear-quadratic optimal control problem involving bit-rate communication capacity constraints. A discrete-time partially observed system perturbed by white noises is studied. Unlike the classic LQG control theory, the control signal must first be encoded, then transmitted to the actuators over communication channels with given bandwidths, and finally decoded. Both the control law and the algorithms of encoding and decoding should be designed to archive the best performance. Under natural assumptions, the optimal control strategy is obtained.