Abstract

In this paper, the quantized state feedback H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control problem for discrete-time linear time-invariant (LTI) systems is studied. The quantizers considered here are dynamic and time-varying. Firstly, taking quantization errors into account, a state feedback controller is designed. Then, by using the designed controller, a state-dependent control strategy is proposed with updating quantizer's parameter, such that the quantized closed-loop system is asymptotically stable and a prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> . performance is achieved. An example is presented to illustrate the effectiveness of the control strategy.

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