Robust H∞ control with partly quantized information

This paper is concerned with the stability and stabilizability problems of networked control systems (NCSs) with partly quantized information. More precisely, the remote state variables transported from other sub-systems experience quantization errors, while the local state variables do not. This consideration is much more natural in NCSs due to the distributive nature of subsystems. Quantization errors are represented as convex poly-topic uncertainties. Based on the Lyapunov-Krasovskii (L-K) functional approach, sufficient conditions for the existence of a quantized robust H∞ state feedback controller for NCSs are presented. Such conditions are obtained in terms of bilinear matrix inequalities (BMIs). Furthermore, a cone complementarity algorithm is utilized to convert these BMIs into a convex optimization problem. Finally, a simulation example is provided to demonstrate the efficiency of proposed theorems.