This paper investigates the problem of output feedback control for discrete-time systems with two quantized signals in measurement output and control input. Since the measurement output and control input are quantized by general quantizers before they are passed to the controller and the system, the closed-loop system will include the quantization error terms, which might lead to that the performance of the closed-loop system is not guaranteed. For this purpose, this paper proposes a novel quantized output control strategy such that the closed-loop system is asymptotically stable or satisfies the prescribed $\mathcal {H}_\infty$ performance. The corresponding design conditions for the output feedback controllers and the quantizers’ dynamic parameters are presented in terms of solutions to a set of linear matrix inequalities. Finally, a simulation example is given to prove the effectiveness of the proposed design method.

中文翻译：

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离散系统的量化静态输出反馈控制

本文研究了在测量输出和控制输入中具有两个量化信号的离散时间系统的输出反馈控制问题。由于测量输出和控制输入在传递给控制器​​和系统之前由通用量化器进行了量化，因此闭环系统将包含量化误差项，这可能导致闭环系统的性能不佳。保证的。为此，本文提出了一种新颖的量化输出控制策略，使闭环系统渐近稳定或满足规定的\\数学{H} _ \ infty $性能。针对一组线性矩阵不等式的解给出了输出反馈控制器和量化器动态参数的相应设计条件。最后，