Stability and Stabilization of Discrete-time Linear Systems over Networks with Control Input Quantization

The stability and stabilization of discrete-time linear systems connected over a digital networks is considered. The feedback controller design method is proposed simultaneous consideration the effect of the quantization levels, the packet dropout and the network-induced delays. Using the sector bound expression of the quantization density and the Lyapunov-krasovskii functional method, the feedback controller is constructed via solving a set of LMIs. Numerical examples illustrate the effectiveness of the proposed approach.