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.

中文翻译：

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具有改进指数间距策略的异构车辆列队系统基于固定时间的自适应容错控制


本文关注的是异构车辆列队遭受致动器故障的分布式固定时间神经网络自适应跟踪控制问题。针对非零初始间距误差 （ISE） 导致车辆字符串不稳定的问题，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，构建了固定时间列队控制方案，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，该控制方案减少了执行器故障和不确定性对车辆列队系统的影响，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弦稳定性。仿真算例和对比结果证明了控制方案的可靠性。