| 引用本文: | 徐冬玲, 施颂椒, 金钟骥.多变量H∞最优敏感性控制器的解耦设计方法*[J].控制理论与应用,1989,6(4):43~50.[点击复制] |
| Xu Dongling, Shi Songjiao, Jin Zhongji.A Decoupling Design Method of MIMO Systems for H∞ Optimal Sensitivity[J].Control Theory and Technology,1989,6(4):43~50.[点击复制] |
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| 多变量H∞最优敏感性控制器的解耦设计方法* |
| A Decoupling Design Method of MIMO Systems for H∞ Optimal Sensitivity |
| 摘要点击 915 全文点击 423 投稿时间：1988-05-14 修订日期：1989-07-19 |
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| DOI编号 |
| 1989,6(4):43-50 |
| 中文关键词 H∞设计理论 最优敏感性 多变量系统。 |
| 英文关键词 H∞ design theory Optimal sensitivity MIMO system. |
| 基金项目 |
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| 中文摘要 |
| 本文提出了一种用H∞控制理论设计多变量系统的最优敏感性控制器的方法。方法通过敏感性函数矩阵解耦，将多变量系统的H∞最优敏感性设计问题化为若干个单变量的同样问题。文章证明了系统的解耦最优敏感性是唯一的；给出了在多变量情况下如何用真的次优控制器近似非真的最优控制器的方法；最后用算例说明了设计过程。 |
| 英文摘要 |
| In the paper, a controller design method for obtaining optimal sensitivity of MIMO systems is proposed. In the method, sensitivity functions are first decoupled. Then the weighted and decoupled sensitivity functions are optimized by using SISO H∞ design theory. The uniqueness of the optimal decoupled sensitivity is proved. Besides, a method is developed in which the obtained nonproper optimal controller is approximated by a series of strictly proper sub-optimal controller. At last, an example is given to show the design procedure. |
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