Command filtered and observer-based adaptive neural event-triggered control for fractional-order nonlinear systems with actuator fault

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-17 DOI:10.1016/j.cnsns.2025.108939

Xingxing You , Yifei Pu , Yanli Zou , Zixin Tang , Tao Zhao , Songyi Dian

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引用次数: 0

Abstract

This paper investigates the tracking control problem for the uncertain fractional-order nonlinear systems (FONSs) with unmeasured states and unknown control gain subject to external disturbances and actuator fault, under restricted communication resources. First, the radial basis function neural networks (RBF NNs) are deployed to identify the unknown smooth nonlinear function. Subsequently, a neural network-based state observer is constructed based on this identification to estimate the unknown states of the original FONS. Then, an adaptive neural event-triggered fault-tolerant controller (ANETFTC) is developed by adopting the backstepping method, fractional-order command filter (FOCF) and Lyapunov stability theory. In the event of external disturbances and actuator fault, the designed ANETFTC not only ensures the tracking performance of uncertain FONS so that the tracking error can converge to a neighborhood near the origin but also the observer designed based on this controller can better approximate the original system states. Simulation analysis further verifies the effectiveness and availability of control strategy.

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带有执行器故障的分数阶非线性系统的命令滤波和基于观测器的自适应神经事件触发控制

研究了在通信资源有限的情况下，具有不可测状态和未知控制增益的不确定分数阶非线性系统的跟踪控制问题。首先，利用径向基函数神经网络（RBF神经网络）识别未知光滑非线性函数；然后，在此基础上构造基于神经网络的状态观测器来估计原始FONS的未知状态。然后，采用反步法、分数阶命令滤波（FOCF）和Lyapunov稳定性理论，设计了自适应神经事件触发容错控制器（ANETFTC）。在外部干扰和执行器故障的情况下，设计的ANETFTC不仅保证了不确定FONS的跟踪性能，使跟踪误差收敛到原点附近的邻域，而且基于该控制器设计的观测器能更好地逼近原始系统状态。仿真分析进一步验证了控制策略的有效性和可用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

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.