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H∞回路成形中的μ综合法

何朕 姜晓明 孟范伟 王广雄

控制理论与应用2012,Vol.29Issue(3):347-352,6.
控制理论与应用2012,Vol.29Issue(3):347-352,6.

H∞回路成形中的μ综合法

μ-synthesis in H-infinity loop-shaping design

何朕 1姜晓明 1孟范伟 1王广雄1

作者信息

  • 1. 哈尔滨工业大学航天学院,哈尔滨黑龙江150001
  • 折叠

摘要

Abstract

Both loop-shaping design andμ-synthesis are standard design tools of the H-infinity control theory. Recently, a novel design method combining μ-synthesis with loop-shaping is proposed for dealing with the parameter uncertainty of the lightly damped mode. However, the practical design shows that such combination fails to provide the expected result. We point out that the loop-shaping design is essentially a method for robust stability, because the inverse of the resulting H-infinity norm is the stability margin of the system. However, the μ-synthesis is a real tool for designing the robust performance. The combination ofμ-synthesis with loop-shaping determines only the stability margin, but not the size of the allowable perturbation. Therefore, there is no need to add an extra procedure of μ-synthesis to the loop shaping design. A design example is presented for explanation.

关键词

H∞回路成形/稳定裕度/μ综合/鲁棒性能/弱阻尼模态

Key words

H-infinity loop shaping/stability margin/μ-synthesis/robust performance/lightly damped

分类

信息技术与安全科学

引用本文复制引用

何朕,姜晓明,孟范伟,王广雄..H∞回路成形中的μ综合法[J].控制理论与应用,2012,29(3):347-352,6.

基金项目

国家自然科学基金重点资助项目 ()

国家自然科学基金资助项目(60674102,60374027). ()

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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