El Hafid Chelliq, Khalid Badie, Mohammed Alfidi, Zakaria Chalh
{"title":"Robust \u0000H∞ Filter Design for Uncertain 2-D Singular Continuous Systems With State-Varying Delay in Roesser Model","authors":"El Hafid Chelliq, Khalid Badie, Mohammed Alfidi, Zakaria Chalh","doi":"10.1002/mma.10673","DOIUrl":"https://doi.org/10.1002/mma.10673","url":null,"abstract":"<div>\u0000 \u0000 <p>Robust \u0000<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>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> performance analysis and robust \u0000<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>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> filtering design are considered here for uncertain two-dimensional (2-D) singular continuous state-varying delay systems with norm-bounded parameter uncertainties. Based on the augmented Lyapunov-Krasovskii functional (LKF) with triple integral terms and the use of the Wirtinger inequality combined with an improved reciprocally convex approach, a new sufficient admissibility condition is obtained, which guarantees that the 2-D singular filtering error is regular, causal, and stable and satisfies the \u0000<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>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> performance for all admissible uncertainties. This condition will be used later to design a robust \u0000<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>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> filter. Finally, two numerical examples are provided to demonstrate the effectiveness and merits of the proposed approach.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6303-6322"},"PeriodicalIF":2.1,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}