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We study the self-triggered stabilization of discrete-time linear systemswith quantized state measurements. In the networked control system we consider,sensors may be spatially distributed and be connected to a self-triggeringmechanism through finite data-rate channels. Each sensor independently encodesits measurements and sends them to the self-triggering mechanism. Theself-triggering mechanism integrates quantized measurement data and thencomputes sampling times. Assuming that the closed-loop system is stable in theabsence of quantization and self-triggered sampling, we propose a joint designmethod of an encoding scheme and a self-triggering mechanism for stabilization.To deal with data inaccuracy due to quantization, the proposed self-triggeringmechanism uses not only quantized data but also an upper bound of quantizationerrors, which is shared with a decoder.

Self-triggered Stabilization of Discrete-time Linear Systems with Quantized State Measurements