Quantized Dynamic Output Feedback H∞ Controller Design

This paper studies the quantized dynamic output feedback H_infin control problem for discrete-time linear time-invariant (LTI) systems with the consideration of quantizer ranges. The quantizers considered here are dynamic and time-varying. An iterative LMI-based optimization algorithm is proposed to optimize the quantizer ranges, and with which a concrete dynamic output feedback control strategy dependent on not only the controller states but also the measurement outputs is proposed with updating quantizer´s 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 control strategy.