Guaranteed cost control of networked control systems with bounded packet loss

This paper investigates the guaranteed cost control of quantized feedback systems over networks with bounded packet loss. The model of the networked control systems, which appropriately incorporates the quantized feedback, is established on the standpoint of robust control which transforms the problem of stabilization of the networked control systems with packet loss into the robust stabilization of a class of subsystems. Unlike the common Lyapunov function in the quadratic framework which is normally used in analyzing the networked control systems, this paper presents a new approach that can significantly reduce the conservativeness by taking the quantization dependent Lyapunov function. Based on the provided Lyapunov function, a guaranteed cost state feedback controller is derived which explicitly considers the packet loss process. A numerical example illustrates the effectiveness of the proposed method.