{"title":"Fixed-time fault-tolerant formation-containment control for unmanned helicopters via a fully actuated system approach","authors":"Yuan Lu , Ke Zhang , Lihua Shen , Jingping Xia","doi":"10.1016/j.apm.2025.116004","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the fixed-time fault-tolerant formation-containment control problem for unmanned helicopters (UHs) with collision and obstacle avoidance. Firstly, a high-order fully actuated system model of the UH with actuator faults is developed, which includes position and attitude subsystems. Secondly, based on the null space method, the tasks performed by multiple UHs are decomposed into collision avoidance tasks, obstacle avoidance tasks and cooperative flight tasks, and the desired trajectory is obtained by task fusion according to the priority. Then, a fixed-time disturbance observer is constructed to estimate the fault information of each UH, which is convenient for the controller to compensate for the effect of faults. With the aid of the fully actuated system approach, the fault-tolerant formation-containment controller is designed, guaranteeing that tracking errors converge to the prescribed performance range within a fixed time. Finally, the simulation results are provided to demonstrate the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116004"},"PeriodicalIF":4.4000,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25000794","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the fixed-time fault-tolerant formation-containment control problem for unmanned helicopters (UHs) with collision and obstacle avoidance. Firstly, a high-order fully actuated system model of the UH with actuator faults is developed, which includes position and attitude subsystems. Secondly, based on the null space method, the tasks performed by multiple UHs are decomposed into collision avoidance tasks, obstacle avoidance tasks and cooperative flight tasks, and the desired trajectory is obtained by task fusion according to the priority. Then, a fixed-time disturbance observer is constructed to estimate the fault information of each UH, which is convenient for the controller to compensate for the effect of faults. With the aid of the fully actuated system approach, the fault-tolerant formation-containment controller is designed, guaranteeing that tracking errors converge to the prescribed performance range within a fixed time. Finally, the simulation results are provided to demonstrate the effectiveness of the proposed control strategy.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.