论文标题
具有损失的车间通信通道的排量的平方稳定性条件
Mean square stability conditions for platoons with lossy inter-vehicle communication channels
论文作者
论文摘要
本文研究了由随机数据丢失影响的,具有车间通信通道的异质LTI车辆排的均方稳定性。我们考虑了一个离散的时间排系统,具有遵循拓扑结构和恒定时间 - 航向间距政策的前任。有损通道是通过允许在空间中关联的Bernoulli过程来建模的。我们利用一类补偿策略来减少数据丢失的影响。得出必要和足够的条件,以确保跟踪误差的平均值和方差的收敛性,这不仅取决于控制器设计,还取决于补偿策略和成功传输的概率。通过数值模拟,我们说明了理论结果,描述了不同的排行为。我们还提供有关均方稳定性的见解,是在此随机设置中弦稳定性的必要条件。
This paper studies the mean-square stability of heterogeneous LTI vehicular platoons with inter-vehicle communication channels affected by random data loss. We consider a discrete-time platoon system with predecessor following topology and constant time-headway spacing policy. Lossy channels are modeled by Bernoulli processes allowed to be correlated in space. We make use of a class of compensation strategies to reduce the effect of data loss. Necessary and sufficient conditions are derived to guarantee the convergence of the mean and variance of the tracking errors, which depend not only on the controller design but also on the compensation strategy and the probabilities of successful transmission. Through numerical simulations, we illustrate the theoretical results, describing different platoon behaviors. We also provide insights on the mean-square stability as a necessary condition for string stability in this stochastic setting.