Stabilization of Linear Self-Triggered System under Bounded Bit Rates

In this paper, we consider a linear time-invariant discrete system with quantized state feedback. In the networked control system we consider, the next sampling time is given by a self-triggering mechanism based on feedback packets received. For unstable or marginally stable systems, we develop a quantization strategy and self-triggered sampling mechanism to guarantee system stability. And the bit rate we consume can arbitrarily approximate the bit rate lower bound in periodic sampling case. Simulation results are presented to validate the effectiveness of our approach.