Fixed-time NN-based adaptive fault-tolerant control for heterogeneous vehicular platoon system with improved exponential spacing policy

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-19 DOI:10.1016/j.cnsns.2024.108454

Haonan Qi , Liang Cao , Hongru Ren , Meng Zhao

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引用次数: 0

Abstract

This paper is concerned with the distributed fixed-time neural network adaptive tracking control issue for heterogeneous vehicular platoon suffered from actuator faults. Due to the string instability of vehicles caused by non-zero initial spacing errors (ISEs), an improved exponential spacing policy is proposed to eliminate the influence of non-zero ISEs by introducing a compensated term, while guaranteeing the traffic flow stability. Subsequently, a fixed-time platoon control scheme is constructed, where the singularity problem caused by the negative exponent terms of controller is addressed by introducing a cosine-based scalar function. Moreover, the influence of actuator faults and uncertainties for vehicular platoon system is decreased with the control scheme, where the instability caused by maximum acceleration is avoided. The internal stability and string stability of the closed-loop system are proven through Lyapunov stability analysis. The simulation example and comparison results testify to the reliability of control scheme.

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基于固定时间 NN 的异构车排系统自适应容错控制与改进的指数间隔策略

本文关注的是异构车辆排的分布式固定时间神经网络自适应跟踪控制问题。由于非零初始间距误差（ISE）会导致车辆串联不稳定，因此提出了一种改进的指数间距策略，通过引入补偿项来消除非零 ISE 的影响，同时保证交通流的稳定性。随后，构建了一种固定时间排布控制方案，通过引入基于余弦的标量函数，解决了控制器负指数项引起的奇异性问题。此外，该控制方案还降低了执行器故障和不确定性对车排系统的影响，避免了最大加速度引起的不稳定性。通过 Lyapunov 稳定性分析，证明了闭环系统的内部稳定性和串稳定性。仿真实例和对比结果证明了控制方案的可靠性。

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.