Quantized control for networked control systems with communication delay and packet dropouts

This paper is concerned with the problem of quantized H_∞ control for discrete-time networked control systems (NCSs) with random communication delays and packet dropouts. By choosing appropriate Lyapunov functional, sufficient conditions for the existence of quantized H_∞ controller is derived, such that the closed-loop discrete-time networked control systems is robustly asymptotically mean-square stable and preserves a guaranteed H_∞ performance. An improved design criterion for quantized H_∞ 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 given to show the effectiveness of the proposed method.