{"title":"On the Riccati Equations Arising in Robust Control Approaches","authors":"O. I. Kosmidou, Y. S. Boutalis","doi":"10.1002/anac.200410026","DOIUrl":null,"url":null,"abstract":"<p>Robust control of dynamic linear systems with model uncertainties involves modified Riccati equations (MRE) i.e. Riccati equations with additional terms depending on the uncertainties and on specific upper bounding functions. Robust controller design is based on the existence and computation of positive definite solutions of MRE. In the present paper MRE are investigated and computational techniques are presented. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"2 1","pages":"89-99"},"PeriodicalIF":0.0000,"publicationDate":"2005-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200410026","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Robust control of dynamic linear systems with model uncertainties involves modified Riccati equations (MRE) i.e. Riccati equations with additional terms depending on the uncertainties and on specific upper bounding functions. Robust controller design is based on the existence and computation of positive definite solutions of MRE. In the present paper MRE are investigated and computational techniques are presented. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
鲁棒控制方法中的Riccati方程
具有模型不确定性的动态线性系统的鲁棒控制涉及修改的Riccati方程(MRE)，即根据不确定性和特定上界函数附加项的Riccati方程。鲁棒控制器的设计是基于MRE正定解的存在性和计算。本文研究了多模态电磁辐射，并给出了相应的计算方法。(©2005 WILEY-VCH Verlag GmbH &KGaA公司，Weinheim)
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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