Quantized Static Output Feedback Stabilization of Discrete-time Networked Control Systems

This paper is concerned with the static output feedback (SOF) stabilization for discrete-time networked control systems (NCSs) with input and output signals quantization. A novel model of the systems is proposed by a sector bounded approach where the internal effects of network induced delay and signals quantization are considered. By using Lyapunov functional approach, together with introducing relaxation variables technique, sufficient conditions for quantized SOF stabilizing controller design are given. Since the obtained conditions are not expressed strictly in term of linear matrix inequalities (LMIs), the quantized SOF controller is solved by using modified cone complementary linearization (CCL) algorithm. In addition, the obtained conditions of stability analysis and SOF stabilization for discrete-time NCSs in absence of quantization are proved to be less conservative than some existing results. Numerical examples are also presented to illustrate the applicability of the developed method.