This brief studies the quantized feedback control problem for uncertain systems. A novel two-step design strategy with on-line updating the quantizer’s dynamic parameter is proposed to guarantee the prescribed $\mathcal {H}_{\infty }$ performance attenuation level for the quantized closed-loop system. The design strategy allows the controlled output to include the control input signal and the external disturbance. The design condition for the feedback controller and the quantizer’s parameter is given based on the linear matrix inequality technique. Finally, an application on the two-mass system is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.

中文翻译：

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量化反馈控制的鲁棒设计策略

本简报研究了不确定系统的量化反馈控制问题。提出了一种在线更新量化器动态参数的新型两步设计策略，以保证量化闭环系统达到规定的 $\mathcal {H}_{\infty }$ 性能衰减水平。该设计策略允许受控输出包括控制输入信号和外部干扰。基于线性矩阵不等式技术给出了反馈控制器的设计条件和量化器的参数。最后，提供了在二质量系统上的应用，以说明所提出的理论结果的可行性和有效性。