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

We study the problem of stabilizing a self-triggered control system with quantized state measurements. The state of the plant is measured by a collection of distributed sensors. A self-triggering mechanism determines the next sampling time from the quantized state, by estimating input errors due to quantization and aperiodic sampling. We propose an encoding and self-triggering strategy and derive a sufficient condition for the plant state to exponentially converge to the origin.