Optimal Stabilization Control of Connected Vehicle Systems

This paper studies the optimal stabilization control of the connected vehicle systems (CVSs). The CVS is expected to maintain a desired formation: each vehicle runs with a desired speed, and the distances between a vehicle and its neighbors are kept at desired values. The CVS dynamic is described by the discrete time difference equations. Each vehicle is able to measure its own speed, its nearest predecessor's speed and the distance between the vehicle and its nearest predecessor. Applying vehicle-to-vehicle (V2V) communication, the vehicle transmits its measured data to its nearest follower. Due to the uncertainties of the communication, it is stochastic that the data is effectively received. Under the above-mentioned setup, an optimal stabilization control framework is proposed for the CVSs under the local stochastic communication. Based on the system stability analysis and the optimization theory, the optimal stabilization control scheme is effectively designed. Finally, the simulations illustrate that the CVS is well maintained a desired formation under the proposed control scheme.