{"title":"Reduced-order observer based fault estimation and dynamic output feedback fault-tolerant control for switched fuzzy stochastic systems","authors":"Jiuling Zhang, Jian Han, Xiuhua Liu, Xinjiang Wei","doi":"10.1016/j.jfranklin.2024.107452","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, the fault estimation (FE) and fault-tolerant control (FTC) problems are studied for switched fuzzy stochastic systems subjected to multiple faults and nonlinear exogenous disturbance. The reduced-order FE observer and the nonlinear disturbance observer are used to reconstruct the system state, faults and nonlinear disturbance simultaneously. Furthermore, the dynamic output feedback (DOF) controller is designed to compensate the actuator fault and disturbances. The Root-Mean-Square (RMS) gain is applied to reduce the impact of disturbance, and the limitation of zero initial condition is removed, which means that the initial values of the system and faults do not need to be known. At last, two examples are given to verify the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107452"},"PeriodicalIF":3.7000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003224008731","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the fault estimation (FE) and fault-tolerant control (FTC) problems are studied for switched fuzzy stochastic systems subjected to multiple faults and nonlinear exogenous disturbance. The reduced-order FE observer and the nonlinear disturbance observer are used to reconstruct the system state, faults and nonlinear disturbance simultaneously. Furthermore, the dynamic output feedback (DOF) controller is designed to compensate the actuator fault and disturbances. The Root-Mean-Square (RMS) gain is applied to reduce the impact of disturbance, and the limitation of zero initial condition is removed, which means that the initial values of the system and faults do not need to be known. At last, two examples are given to verify the effectiveness of the proposed method.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.