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The problem of quantized dynamic output feedback H_∞control for discrete-time linear time-invariant(LTI)systems is investigated in this paper.The quantizer considered is dynamic and composed of an adjustable“zoom”parameter and a static quantizer.Static quantizer ranges are of practical significance and are fully considered.First,taking quantization errors into account, a quantized control strategy is dependent not only on the controller states but also on the system measurement outputs,which is proposed such that the quantized closed-loop system is asymptotically stable and with a prescribed H_∞performance bound.Then, on the basis of this result,an iterative LMI-based optimization algorithm is developed to optimize the static quantizer ranges to meet H_∞performance requirements for closed-loop systems.An example is presented to illustrate the effectiveness of the proposed method.
The problem of quantized output feedback H_∞control for discrete-time linear time-invariant (LTI) systems is investigated in this paper.The quantizer considered is dynamic and composed of an adjustable “zoom” parameter and a static quantizer.Static quantizer ranges are of practical significance and are fully considered. First, taking quantization errors into account, a quantized control strategy is dependent not only on the controller states but also on the system measurement outputs, which is proposed such that the quantized closed-loop system is asymptotically stable and with a prescribed H_∞performance bound.Then, on the basis of this result, an iterative LMI-based optimization algorithm is developed to optimize the static quantizer ranges to meet H_∞performance requirements for closed-loop systems. Ann Example is presented to illustrate the effectiveness of the proposed method.