This paper proposes a new $H_2$ output-feedback control with finite multiple measurement information for discrete-time systems with disturbances. This control is called an $H_2$ finite multiple measurement output-feedback control (H2FMMOFC). The new control ascertains the $H_2$ performance for disturbances and the equivalence to the $H_2$ state-feedback control without disturbances on a finite measurement horizon. The boundedness and exponential stability of the proposed H2FMMOFC are also investigated. The gain matrices of the H2FMMOFC are obtained by solving a convex problem utilizing the linear matrix inequality tool. Via a numerical example, the H2FMMOFC is shown to ensure the $H_2$ performance as well as the excellent robustness property against unexpected temporary model uncertainty although the uncertainty is not considered in its design.

中文翻译：

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$H_2$ 具有有限多重测量信息的输出反馈控制


本文针对具有扰动的离散时间系统，提出了一种具有有限多重测量信息的新$H_2$输出反馈控制。该控制称为 $H_2$ 有限多重测量输出反馈控制 (H2FMMOFC)。新控制确定了 $H_2$ 的干扰性能以及与有限测量范围内没有干扰的 $H_2$ 状态反馈控制的等效性。还研究了所提出的 H2FMMOFC 的有界性和指数稳定性。 H2FMMOFC 的增益矩阵是通过利用线性矩阵不等式工具求解凸问题获得的。通过数值示例，表明 H2FMMOFC 能够确保 $H_2$ 性能以及针对意外的临时模型不确定性的出色鲁棒性，尽管其设计中并未考虑不确定性。