{"title":"线性系统有界外部干扰和测量噪声的最优补偿*","authors":"A. Peregudin, I. Furtat","doi":"10.1109/CoDIT49905.2020.9263923","DOIUrl":null,"url":null,"abstract":"This paper is dedicated to the problem of compensation of bounded external disturbances in the presence of bounded measurement noises. The synthesis of a linear feedback controller minimizing the size of invariant ellipsoids of a closed-loop system is considered. Based on the method of Lyapunov functions, S-procedure and the alternating optimization method, an iterative algorithm for finding optimal controller parameters is proposed. The efficiency of the obtained algorithm is demonstrated.","PeriodicalId":355781,"journal":{"name":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal Compensation of Bounded External Disturbances and Measurement Noises for Linear Systems*\",\"authors\":\"A. Peregudin, I. Furtat\",\"doi\":\"10.1109/CoDIT49905.2020.9263923\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is dedicated to the problem of compensation of bounded external disturbances in the presence of bounded measurement noises. The synthesis of a linear feedback controller minimizing the size of invariant ellipsoids of a closed-loop system is considered. Based on the method of Lyapunov functions, S-procedure and the alternating optimization method, an iterative algorithm for finding optimal controller parameters is proposed. The efficiency of the obtained algorithm is demonstrated.\",\"PeriodicalId\":355781,\"journal\":{\"name\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CoDIT49905.2020.9263923\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CoDIT49905.2020.9263923","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal Compensation of Bounded External Disturbances and Measurement Noises for Linear Systems*
This paper is dedicated to the problem of compensation of bounded external disturbances in the presence of bounded measurement noises. The synthesis of a linear feedback controller minimizing the size of invariant ellipsoids of a closed-loop system is considered. Based on the method of Lyapunov functions, S-procedure and the alternating optimization method, an iterative algorithm for finding optimal controller parameters is proposed. The efficiency of the obtained algorithm is demonstrated.