Stabilization for Linear Non-Gaussian Systems with Communication Constraints

This paper addresses the feedback stabilization problem for linear time-invariant systems with non-Gaussian state and output noises, where sensors and controllers are connected via a noisy digital communication channel. A sufficient condition for stabilization of the unstable plant in the presence of data-rate constraints, is derived. It is found that there exists a quantization, coding and control strategy above a lower bound of data rates of the channel such that all closed-loop trajectories tend asymptotically to zero. Simulations are done to verify the obtained theoretical results.