| 引用本文: | 席 斌，吴铁军.灵敏度函数恢复的非奇异H∞方法[J].控制理论与应用,1999,16(5):773~775.[点击复制] |
| Xi Bin， Wu Tiejun.Department of Automation,Xiamen University[J].Control Theory and Technology,1999,16(5):773~775.[点击复制] |
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| 灵敏度函数恢复的非奇异H∞方法 |
| Department of Automation,Xiamen University |
| 摘要点击 1140 全文点击 683 投稿时间：1997-03-25 修订日期：1998-06-22 |
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| DOI编号 |
| 1999,16(5):773-775 |
| 中文关键词 恢复 灵敏度 广义调节器 非奇异H∞方法 |
| 英文关键词 recovery sensitivity generalized regulator nonsingular H∞ method |
| 基金项目 |
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| 中文摘要 |
| 在控制器设计的LTR方法中，说明在H∞范数意义下的灵敏度函数恢复与回路传递函数的恢复是不等价的，但灵敏度函数的恢复更适合鲁棒控制问题．通过把灵敏度函数恢复误差变换成控制器的线性分式变换式，得到一个非奇异结构的广义调节器问题，于是可利用标准的H∞输出反馈控制器设计方法求解，该控制器在保证灵敏度函数误差的H∞范数小于某一正数的同时可使闭环系统内稳定． |
| 英文摘要 |
| In the design procedure for LTR based controller.there is difference between sensitivity recovery and loop transfer recovery in the sense of H∞ norm.By fonnulating the recovery error of sensitivity function asa linear fraction transfor-mation of controller,we can solve a generalized regulator problem with nonsingular structure which can be solved with Matlab toolbox.The controller we get from toolbox makes the H∞ norm of recovery error of sensitivity function no more than a pre-scribed level and intemally stabilize the system.The validity of the conclusions is verified in a design case of a two order system. |