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

Tao Liu, Qijun Chen, Hao Zhang, Iko Miyazawa

Abstract: This paper is concerned with the problems of quantized H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> 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 <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> 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.