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针对具有脉冲扰动和变时滞的顾前车辆纵向跟随系统,在假设各孤立子系统指数稳定的前提下,分析了该系统的群指数稳定性与控制,首先利用向量Lyapunov函数法和数学归纳法给出确保该系统群指数稳定的充分条件;然后基于得到的稳定性条件,采用滑模变结构控制策略对脉冲变时滞车辆纵向跟随系统进行控制器设计;最后通过一个数值仿真算例验证了所得结论的正确性以及在实际中如何应用,
Aiming at the longitudinal following system of front vehicle with pulse perturbation and variable time delay, the exponential stability of each isolated subsystem is analyzed, and the stability and control of the exponential of the system are analyzed. Firstly, vector Lyapunov function and mathematical induction The sufficient conditions for the exponential stability of the system are given. Then based on the obtained stability conditions, the sliding mode variable structure control strategy is adopted to design the controller of the longitudinal following system of the pulse-delayed vehicle. Finally, a numerical example is given to verify The correctness of the conclusions obtained and how they are applied in practice,