Quantized H<inf>∞</inf> control for networked control systems with random delays

Abstract

This paper is concerned with the quantized state feedback H ∞ control problem for networked control systems with random communication delays. The quantizer considered here is dynamic and composed of an adjustable “zoom” parameter and a static quantizer. By using a quantized random delay model, the effect of the quantization and the random delays on the system performance is studied. A quantized H ∞ control strategy is derived, with a condition on the quantizer range and error bound satisfied, such that the quantized closed-loop system is exponentially mean-square stable and with a prescribed H ∞ performance bound. An example is presented to illustrate the effectiveness of the proposed method.