Quantized H∞ control for networked control systems with random communication delays

This paper is concerned with the problems of quantized H_∞ control for networked control systems with random communication delays. The quantizer considered here is logarithmic type. A quantized state-feedback controller is designed, such that the closed-loop system is exponentially mean-square stable in the sense of mean square and achieves an optimal H_∞ disturbance attenuation level. Sufficient conditions for exponentially mean-square stable of closed-loop system is given in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed approach.