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]
灵敏度函数恢复的非奇异H∞方法
Department of Automation,Xiamen University
摘要点击 853  全文点击 582  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  
作者单位
席 斌,吴铁军  
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.