H∞ controller design for linear systems with quantized feedback

This paper studies a quantized dynamic output feedback H_∞ control problem for continuous-time linear time-invariant (LTI) systems. The quantizers considered here are dynamic and time-varying. For the quantized closed-loop system, a control strategy dependent on not only the controller states but also the system measurement outputs is proposed with updating two independent quantizer's parameters, such that the quantized closed-loop system is asymptotically stable and achieves the same H_∞ disturbance attenuation level as the one obtained by the standard dynamic output feedback H_∞ control. An example is presented to illustrate the effectiveness of the control strategy.