{"title":"在传感器噪声下实现势垒函数自适应是否合理?","authors":"Andrés González;Luis Ovalle;Leonid Fridman","doi":"10.1109/TCST.2025.3549347","DOIUrl":null,"url":null,"abstract":"This article studies the behavior of barrier function adaptation (BFA) in the presence of bounded deterministic noises with the known upper bound, both theoretically and experimentally. It is shown that, in the case of discontinuous noises, the predefined performance of the output can be lost. Nevertheless, if the barrier function width (BFW) is selected in accordance to the upper bound of the perturbation, the prescribed performance of the output can be asserted. In the case of continuous noises, BFW needs to be selected at least twice as big as the bound of the measurement noise, i.e., the knowledge of the upper bound of the perturbations is not needed, and the predefined performance of the output is ensured. In the case of Lipschitz continuous noises, BFW can be selected arbitrary, and the system output will be kept in BFW. An experimental study, considering different classes of noises, is designed and implemented on a brushed dc motor to illustrate the conclusions drawn from the theoretical analysis.","PeriodicalId":13103,"journal":{"name":"IEEE Transactions on Control Systems Technology","volume":"33 5","pages":"1627-1639"},"PeriodicalIF":3.9000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Is it Reasonable to Implement Barrier Function Adaptation Under Sensor Noise?\",\"authors\":\"Andrés González;Luis Ovalle;Leonid Fridman\",\"doi\":\"10.1109/TCST.2025.3549347\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article studies the behavior of barrier function adaptation (BFA) in the presence of bounded deterministic noises with the known upper bound, both theoretically and experimentally. It is shown that, in the case of discontinuous noises, the predefined performance of the output can be lost. Nevertheless, if the barrier function width (BFW) is selected in accordance to the upper bound of the perturbation, the prescribed performance of the output can be asserted. In the case of continuous noises, BFW needs to be selected at least twice as big as the bound of the measurement noise, i.e., the knowledge of the upper bound of the perturbations is not needed, and the predefined performance of the output is ensured. In the case of Lipschitz continuous noises, BFW can be selected arbitrary, and the system output will be kept in BFW. An experimental study, considering different classes of noises, is designed and implemented on a brushed dc motor to illustrate the conclusions drawn from the theoretical analysis.\",\"PeriodicalId\":13103,\"journal\":{\"name\":\"IEEE Transactions on Control Systems Technology\",\"volume\":\"33 5\",\"pages\":\"1627-1639\"},\"PeriodicalIF\":3.9000,\"publicationDate\":\"2025-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Control Systems Technology\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10945729/\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Control Systems Technology","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10945729/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Is it Reasonable to Implement Barrier Function Adaptation Under Sensor Noise?
This article studies the behavior of barrier function adaptation (BFA) in the presence of bounded deterministic noises with the known upper bound, both theoretically and experimentally. It is shown that, in the case of discontinuous noises, the predefined performance of the output can be lost. Nevertheless, if the barrier function width (BFW) is selected in accordance to the upper bound of the perturbation, the prescribed performance of the output can be asserted. In the case of continuous noises, BFW needs to be selected at least twice as big as the bound of the measurement noise, i.e., the knowledge of the upper bound of the perturbations is not needed, and the predefined performance of the output is ensured. In the case of Lipschitz continuous noises, BFW can be selected arbitrary, and the system output will be kept in BFW. An experimental study, considering different classes of noises, is designed and implemented on a brushed dc motor to illustrate the conclusions drawn from the theoretical analysis.
期刊介绍:
The IEEE Transactions on Control Systems Technology publishes high quality technical papers on technological advances in control engineering. The word technology is from the Greek technologia. The modern meaning is a scientific method to achieve a practical purpose. Control Systems Technology includes all aspects of control engineering needed to implement practical control systems, from analysis and design, through simulation and hardware. A primary purpose of the IEEE Transactions on Control Systems Technology is to have an archival publication which will bridge the gap between theory and practice. Papers are published in the IEEE Transactions on Control System Technology which disclose significant new knowledge, exploratory developments, or practical applications in all aspects of technology needed to implement control systems, from analysis and design through simulation, and hardware.