引用本文:张显库,贾欣乐.一种简化的H∞控制混合灵敏度算法[J].控制理论与应用,2001,18(2):307~309.[点击复制]
ZHANG Xian-ku,JIA Xin-le.Simplified H∞ Mixed Sensitivity Algorithm[J].Control Theory and Technology,2001,18(2):307~309.[点击复制]
一种简化的H∞控制混合灵敏度算法
Simplified H∞ Mixed Sensitivity Algorithm
摘要点击 1505  全文点击 2160  投稿时间：1999-02-04  修订日期：2000-01-13
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DOI编号  10.7641/j.issn.1000-8152.2001.2.036
  2001,18(2):307-309
中文关键词  H∞控制  混合灵敏度  闭环增益成形  简化算法
英文关键词  H∞ control  mixed sensitivity  closed loop gain shaping  simplified algorithm
基金项目  高等学校博士学科点专项科研基金(98015101)资助项目.
作者单位
张显库 大连海事大学 轮机工程研究所, 大连 116026 
贾欣乐 大连海事大学 轮机工程研究所, 大连 116026 
中文摘要
      受到回路成形思想的启发, 通过对H∞控制的S/T混合灵敏度奇异值曲线的观察及基于S和T具有相关性的考虑给出一种简化的H∞控制混合灵敏度算法. 该算法避免了权函数的选择而对系统进行闭环增益成形, 其核心是确定闭环系统传递函数即T的最终希望的形状, 不加任何权函数, 直接设计出K. 由于T和S的相关性, T的形状确定, S 的形状也就确定了, 从而保证了设计出的控制系统具有良好的鲁棒性和鲁棒稳定性.
英文摘要
      Inspired by the loop shaping theory, a kind of simplified H∞ mixed sensitivity algorithm is presented. This is based on the observation on the characteristics of the singular value curves of H∞ S/T mixed sensitivity function as well as on the correlativity between S and T. The core of the algorithm is to shape T that is the transfer function of the closed loop system according to the knowledge a priori, then the controller K is designed directly without selecting any weighting functions. It is obvious that if the shape of T is fixed, the shape of S is also fixed because of the correlativity of S and T. Therefore it guarantees fundamentally that the designed control system will have fine control performance and robustness.