Quantized H∞ Control for Networked Control Systems with Random Communication Delays

This paper is concerned with the problems of quantized H (infinity) 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 (infinity) 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.