Quantized Adaptive Control of Linear Uncertain System with Convex Analysis

In this paper, the adaptive control problem of linear uncertain system with quantized state feedback is considered. As the quantized state feedback is discontinuous, the classical adaptive control scheme can not be applied directly. For such a case, the convex analysis methodology is applied. The controller and parameter update law with quantized state feedback is treated as convex combination of some smooth signals. Further, the quantizer is designed to ensure the stability of the closed-loop system.