Adaptive Control for Linear Uncertain Discrete-Time Systems with Quantization and Deadzone

A networked control framework for linear uncertain systems with input quantization and deadzone is developed via adaptive control approach. The proposed framework is Lyapunov-based and guarantees ultimate boundedness of the closed-loop system. Specifically, the quantizers are logarithmic and characterized by sector-bound conditions with the conic sectors adjusted at each time instant by the adaptive controller in conjunction with the system response. Finally, a numerical example is provided to demonstrate the efficacy of the proposed approach.