State estimation of passifiable lurie systems via limited-capacity communication channel

State estimation problems for a class of nonlinear oscillatory systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is described and a theoretical analysis for state estimation for nonlinear plants represented in Lurie form (linear part plus nonlinearity depending only on measurable outputs) based on the Passification Theorem is provided. It is shown that the estimation error exponentially tends to zero for sufficiently high transmission rate (channel capacity). The results are illustrated by example of state estimation of chaotic Chua system via a communication channel with limited capacity.