“…Both problems get even more complex when the environment changes over time (e.g., there are moving targets or obstacles). In such cases, rather than solving the inverse problems analytically, various heuristic approaches are being used [5,7], such as roadmaps [2,17], cell decomposition [20], potential fields [18], or other dynamical systems approaches [16]. Hayashi [15] presents a method in which the joint angles are represented by a continuous function of time and the joint index, generating smooth movement plans.…”