A Temporal Potential Function Approach For Path Planning in Dynamic Environments

A Dynamic environment is one in which either the obstacles or the goal or both are in motion. In most of the current research, robots attempting to navigate in dynamic environments use reactive systems. Although reactive systems have the advantage of fast execution and low overheads, the tradeoff is in performance in terms of the path optimality. Often, the robot ends up tracking the goal, thus following the path taken by the goal, and deviates from this strategy only to avoid a collision with an obstacle it may encounter. In a path planner, the path from the start to the goal is calculated before the robot sets off. This path has to be recalculated if the goal or the obstacles change positions. In the case of a dynamic environment this happens often. One method to compensate for this is to take the velocity of the goal and obstacles into account when planning the path. So instead of following the goal, the robot can estimate where the best position to reach the goal is and plan a path to that location. In this paper, we propose a method for path planning in dynamic environments that uses a potential function which indicates the probability that a robot will collide with an obstacle, assuming that the robot executes a random walk from that location and that time onwards. The robot plans a path by extrapolating the object's motion using current velocities and by calculating the potential values up to a look-ahead limit that is determined by calculating the minimum path length using connectivity evaluation and then determining the utility of expanding the look-ahead limit beyond the minimum path length. This paper will discuss how the potential values are calculated and how a suitable look-ahead limit is decided. Finally the performance of the proposed method is demonstrated in a simulated environment.