{"title":"Prescribed-Time Fault-Tolerant Control of Linear Time-Varying Systems by Linear Time-Varying Feedback","authors":"Jiacheng Dong, Bin Zhou","doi":"10.1002/rnc.7861","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>In this paper, the prescribed-time fault-tolerant control for multiple input multiple output (MIMO) linear time-varying (LTV) systems is investigated. Both lexicographically fixed and non-lexicographically fixed LTV systems have been considered. By leveraging the special structure of the controllable canonical form and employing the properties of the parametric Lyapunov equation, a global prescribed-time fault-tolerant controller is designed. With the aid of a suitable Lyapunov-like function, it is demonstrated that the state can converge to zero within the prescribed time. The convergence time is independent of the initial condition. In addition, the designed controller is continuous, bounded, and even maintains a linear and concise form. Ultimately, the effectiveness of the controller is verified through the simulation of the elliptical orbital rendezvous system.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 9","pages":"3509-3522"},"PeriodicalIF":3.2000,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7861","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 prescribed-time fault-tolerant control for multiple input multiple output (MIMO) linear time-varying (LTV) systems is investigated. Both lexicographically fixed and non-lexicographically fixed LTV systems have been considered. By leveraging the special structure of the controllable canonical form and employing the properties of the parametric Lyapunov equation, a global prescribed-time fault-tolerant controller is designed. With the aid of a suitable Lyapunov-like function, it is demonstrated that the state can converge to zero within the prescribed time. The convergence time is independent of the initial condition. In addition, the designed controller is continuous, bounded, and even maintains a linear and concise form. Ultimately, the effectiveness of the controller is verified through the simulation of the elliptical orbital rendezvous system.
期刊介绍：
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
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