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INTEGRATED COMMUNICATION AND CONTROL SYSTEMS WITH OCCASIONAL INFORMATION FEEDBACK

Stabilizability is herein studied for linear discrete-time systems with occasional information feedback supplied by a remote controller via a communication channel with limited data-rate. A new concept called set-stabilizability is introduced, and sufficient and necessary stabilizability conditions on the quantization level and control precision are derived. Most importantly, a specific relationship between stabilizability and the communication data rate is established. For different network-induced delays that are assumed to be constant, time varying, and random, respectively, the lowest data rates sufficient/necessary for the system to be finite time set-stabilizable, Lyapunov stabilizable, and probability-1 stabilizable are obtained accordingly.