{"title":"L∞-Functional Interval Observers for Continuous-time Linear Parameter-Varying Multivariable Systems","authors":"Hanin Mizouri, R. Lamouchi, M. Amairi","doi":"10.1109/MED59994.2023.10185821","DOIUrl":null,"url":null,"abstract":"A functional interval estimation method is proposed for Linear Parameter-Varying (LPV) multivariable systems with external disturbance and measurement noise. According to the interval analysis, the proposed estimator gives the upper and lower boundaries of the linear functional state. An L∞ criterion is used to enhance stability and estimation accuracy. The design conditions are stated in the form of Linear Matrix Inequalities (LMIs). Finally, a numerical example is considered to check the validity of the proposed methodology.","PeriodicalId":270226,"journal":{"name":"2023 31st Mediterranean Conference on Control and Automation (MED)","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 31st Mediterranean Conference on Control and Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED59994.2023.10185821","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
A functional interval estimation method is proposed for Linear Parameter-Varying (LPV) multivariable systems with external disturbance and measurement noise. According to the interval analysis, the proposed estimator gives the upper and lower boundaries of the linear functional state. An L∞ criterion is used to enhance stability and estimation accuracy. The design conditions are stated in the form of Linear Matrix Inequalities (LMIs). Finally, a numerical example is considered to check the validity of the proposed methodology.