{"title":"Analysis of EALQR control design methodology","authors":"Y. Seo, J. Choi","doi":"10.1109/SICE.1999.788693","DOIUrl":null,"url":null,"abstract":"EALQR (linear quadratic regulator with an eigenstructure assignment capability), a control design methodology previously developed by the authors, performs better than a conventional LQR or an eigenstructure assignment. However, it has a constraint on the weighting matrix, that is, the weighting matrix can be indefinite for some high-order systems. This paper analyzes the effects of an indefinite weighting matrix in EALQR on the frequency domain properties. The robustness criterion and the quantitative frequency domain properties are presented. The frequency domain properties of EALQR with an indefinite weighting matrix have been analyzed by applying them to a flight control system as a design example.","PeriodicalId":103164,"journal":{"name":"SICE '99. Proceedings of the 38th SICE Annual Conference. International Session Papers (IEEE Cat. No.99TH8456)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SICE '99. Proceedings of the 38th SICE Annual Conference. International Session Papers (IEEE Cat. No.99TH8456)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.1999.788693","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4

Abstract

EALQR (linear quadratic regulator with an eigenstructure assignment capability), a control design methodology previously developed by the authors, performs better than a conventional LQR or an eigenstructure assignment. However, it has a constraint on the weighting matrix, that is, the weighting matrix can be indefinite for some high-order systems. This paper analyzes the effects of an indefinite weighting matrix in EALQR on the frequency domain properties. The robustness criterion and the quantitative frequency domain properties are presented. The frequency domain properties of EALQR with an indefinite weighting matrix have been analyzed by applying them to a flight control system as a design example.
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EALQR控制设计方法分析
EALQR(具有特征结构分配能力的线性二次型调节器)是作者先前开发的一种控制设计方法,比传统的LQR或特征结构分配性能更好。但是,它对权重矩阵有一个约束,即对于某些高阶系统,权重矩阵可以是不定的。本文分析了EALQR中不确定加权矩阵对频域特性的影响。给出了鲁棒性准则和定量频域特性。以某飞控系统为例,分析了带不定权矩阵的EALQR的频域特性。
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