Quantized output feedback stabilization for discrete-time nonlinear systems in a networked environment

This paper is concerned with the problem of output feedback stabilization for a class of discrete-time systems with sector nonlinearities and imperfect measurements. A unified control law model is proposed to take network-induced delay, random packet dropout and measurement quantization into consideration simultaneously. By choosing appropriate Lyapunov functional, an improved stability condition, which is dependent on the network status, is established for the resulting closed-loop system. Based on the results, a design criterion for the static output feedback controller is formulated in the form of nonconvex matrix inequalities, and the cone complementary linearization (CCL) procedure is exploited to solve the nonconvex feasibility problem. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.