Stabilization of Discrete-time Linear Systems Using Finite Data-rate Signals and Timing Information

Abstract

Event-triggered stabilization of a discrete-time system via a data-rate limited channel is studied. We concern the data rate required for stabilizability and provide a sufficient number of bits transmitted from the sensor to the controller at each event. When the controller receives a packet, it can extract information on the plant state from the reception timing and the event-triggering condition in addition to the bits carried by the packet. While the amount of the information is impaired by the communication delay and the discrete-time manner of the sampling, we show that for some systems the required data rate becomes lower than that obtained by the well-known data-rate theorem established for time-triggered systems.