Ｈ∞鲁棒输出反馈设计方法*

Robust Design of Ｈ∞ Output Feedback

中文关键词  输出反馈  鲁棒控制  Ｈ∞范数  结构式不确定性

英文关键词  output feedback,robust control,Ｈ∞-norm,structured uncertainty

中文摘要

      本文对结构式不确定系统给出了一种鲁棒输出反馈设计算法，首先导出了包括不确定因素在内的Ｈ∞范数作为鲁棒性指标，可用梯度法进行优化.为了限制输出反馈阵Ｋ的高增益，在性能指标中附加了Ｋ的Forbenius范数作为奖罚项，并给出了相应的寻优算法，以求得合适的输出反馈阵，算例表明，优化效果明显。

英文摘要

      This paper presents an algorithm for robust design of systems with structured uncertainty，using output feedback. First we provide a Ｈ∞-norm including uncertain factors as robust index，which can be optimized with gradient method. In order to restrict the high gain of the output feedback matrix K，this paper considers the Frobenius-norm of K as a penalty term in the performance index. Finally the algorithm is provided to obtian the appropriate output feedback matrix. The numerical results show that its effect is ideal.