Abstract

This study focuses on the input quantization control for the linear parabolic PDEs with local piecewise controllers and pointwise measurements. To estimate the unmeasured state for controller design, we construct a PDE observer based on feedback signals. And then a quantization feedback compensator is proposed to exponentially stabilize the linear parabolic PDE systems. The closed-loop system stability is proven by Lyapunov direct method. Further, simulation results are presented to demonstrate the correctness of the theoretical proof.

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