Adaptive quantized control for linear uncertain systems over channels subject to packet loss

A direct adaptive control framework is developed for linear uncertain systems with input quantizers over communication channels subject to packet loss. The proposed framework is Lyapunov-based and guarantees the Lyapunov stability in probability of the closed-loop system states and almost sure convergence of the plant states. Specifically, the control signals are quantized and sent over a channel to the actuator. The quantizers are logarithmic, characterized by sector-bound conditions; their conic sectors are adjusted at each time instant by the adaptive controller depending on the state responses. Finally, numerical examples are provided to demonstrate the efficacy of the approach.