Non-fragile state feedback H∞ control with quantized signals via LMI method

This paper presents a study on the problem of non-fragile state feedback H _infin controller design for linear discrete-time systems with quantized signals. The quantizers considered here are dynamic and time-varying. With the consideration of controller gain variations and quantized signals at the same time, a new non-fragile H _infin control strategy is proposed with updating quantizerpsilas parameters, such that the quantized closed-loop system is asymptotically stable and with a prescribed H _infin performance bound. An example is presented to illustrate the effectiveness of the proposed control strategy.