Stabilization and stability connection of Networked Control Systems with two quantizers

Recently, Networked Control Systems (NCSs) and quantized feedback control have received a lot of attention. We consider analysis of quantized estimation and investigation of stability connection between estimation error system (EES) and quantized estimation feedback control system (QEFCS) in this paper. We assume that there are two-quantized signals being passed to the estimator and the controller through network channels in the closed-loop NCS. Using adjustable zoom quantizer parameters, Lyapunov-based quadratically stabilizable conditions of NCSs are presented. We also propose a method to disclose the stability connection of EES and QEFCS by the use of the connected invariant region sequences. Numerical example and simulation results demonstrate the effectiveness of the method.