{"title":"Fixed-time trajectory tracking for multi-fault nonlinear systems: A passive fault-tolerant control scheme","authors":"Zhumu Fu , Yueyang Wang , Fazhan Tao , Nan Wang","doi":"10.1016/j.cnsns.2025.108709","DOIUrl":null,"url":null,"abstract":"<div><div>Considering the issue that the current fixed-time stability theory has a setting-time upper bound far greater than the actual stability time, an improved fixed-time control scheme with a more compact setting-time upper bound is proposed. This scheme combines passive fault-tolerant control (FTC) and adaptive fuzzy technology to design an adaptive fuzzy fixed-time fault-tolerant controller that addresses the tracking control problem of uncertain nonlinear systems with multiple actuator faults and compensates for irregular nonlinear fluctuations of the system resulting from fault functions. Compared to active FTC, passive FTC has significant advantages in convergence speed and computational complexity due to not require fault detection and controller reconstruction. Additionally, considering multiple actuator faults and aiming for a more compact setting-time upper bound aligns better with the control requirements of practical industrial production. Finally, simulation results validate the effectiveness of the proposed controller.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108709"},"PeriodicalIF":3.4000,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425001200","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Considering the issue that the current fixed-time stability theory has a setting-time upper bound far greater than the actual stability time, an improved fixed-time control scheme with a more compact setting-time upper bound is proposed. This scheme combines passive fault-tolerant control (FTC) and adaptive fuzzy technology to design an adaptive fuzzy fixed-time fault-tolerant controller that addresses the tracking control problem of uncertain nonlinear systems with multiple actuator faults and compensates for irregular nonlinear fluctuations of the system resulting from fault functions. Compared to active FTC, passive FTC has significant advantages in convergence speed and computational complexity due to not require fault detection and controller reconstruction. Additionally, considering multiple actuator faults and aiming for a more compact setting-time upper bound aligns better with the control requirements of practical industrial production. Finally, simulation results validate the effectiveness of the proposed controller.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.