H_∞鲁棒输出反馈设计方法

Robust Design of H_∞ Output Feedback

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范数作为惩罚项，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．

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 canbe optimized with gradient method. In order to restrict the high gain of the output feedback matrix K, thispaper considers the Frobenius-norm of K as a penalty term in the performance index. Finally the algorithmis provided to obtian the appropriate output feedback matrix. The numerical results show that its effect isideal.