Moment fuzzy control methods for selecting the shortest path

This paper presents moment fuzzy control methods to select the shortest path in a car-like mobile robot model. When the wheel´s direction is same with the forward direction that is the direction from car´s front center to the destination, the shortest path´s rule is gotten. The purpose of moment fuzzy control methods is to select an optimal wheel´s angle such that the shortest path´s rule will be satisfied. A moment fuzzy theorem is also proposed to ensure that the wheel´s direction will approach the shortest path´s direction in a stable way. Finally, different destinations are assigned for the robot car to reach along the shortest path in our simulations. These simulations illustrate the excellent performance of the moment fuzzy methods for a car-like mobile robot model to take the shortest path to approach the destination.