I. Introduction
Connected autonomous vehicles (CAV), equipped with advanced communication and automation capability, have the potential to improve traffic capacity, reduce crash risks, and improve driving comfort [1], [2], [3]. As one of the most elementary driving tasks, CAV car-following control usually suffers from two kinds of disturbances. One is exogenous disturbances from preceding traffic oscillations. Speed disturbances might be amplified in a vehicle platoon, resulting in low fuel efficiency, increased crash likelihood, and severe traffic congestion [4], [5], [6]. The other is endogenous disturbances originating from wind gust, ground friction, rolling resistance, and uncertainty of vehicular parameters [7]. These factors make CAV control sluggish, unstable, or even error-prone because precise vehicular movement control (e.g., achieving expected acceleration) is affected.