Adaptive Fuzzy Predefined-Time Control for Third-Order Heterogeneous Vehicular Platoon Systems With Dead Zone

This article investigates the problem of fuzzy adaptive predefined-time terminal sliding mode (TSM) control for a third-order heterogeneous vehicular platoon system with an unknown dead zone. For the purpose of approximating unknown nonlinear functions, fuzzy logic systems (FLSs) are utilized. In addition, the impact of the dead zone on the performance of the control may be lessened by building the dead-zone compensation. A tracking error based on the modified constant time headway policy is built to get rid of the assumption of zero initial spacing and decrease the distance between vehicles at the same time. A unique nonsingular TSM control system is then built using the predefined-time stability criterion; with the help of Lyapunov functions, it is possible to demonstrate both the individual and the string stability of the whole heterogeneous vehicle platoon in a predefined time. Finally, a series of simulations are shown to demonstrate the validity of the proposed results.