A note on stabilization via communication channel in the presence of input constraints

The problem of asymptotic stabilization of a process via communication channel under control input constraints is studied. A solution is proposed which provides encoders, decoders and controllers accomplishing global asymptotic stabilization of the closed-loop system provided that a suitable number of bits is used to encode the information generated by the process. The proposed solution shows interesting features: it employs a number of bits for encoding equal to the relative degree of the system and works in the presence of an adaptive transmission rate.