{"title":"Optimal \u0000 \u0000 \u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 ∞\u0000 \u0000 \u0000 \u0000 $$ {mathcal{H}}_{infty } $$\u0000 Problem and Application to Controlled Asymptotic Filtering","authors":"Jovan Stefanovski","doi":"10.1002/rnc.7835","DOIUrl":"https://doi.org/10.1002/rnc.7835","url":null,"abstract":"<div>\u0000 \u0000 <p>The optimal variant of one-sided <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{H}}_{infty } $$</annotation>\u0000 </semantics></math>-problem is elaborated, and an LMI-based algorithm is presented, which works in the generic case. An application in controlled asymptotic filtering is presented, in which the matrices of the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {mathcal{H}}_{infty } $$</annotation>\u0000 </semantics></math> -problem are affine functions of controller coefficients. These two results are illustrated with examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3208-3221"},"PeriodicalIF":3.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}