| 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 & Applications,2001,18(2):307~309.[点击复制] |
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| 一种简化的H∞控制混合灵敏度算法 |
| Simplified H∞ Mixed Sensitivity Algorithm |
| 摘要点击 2084 全文点击 2322 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. |
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| 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. |