I. INTRODUCTION
Since the presence of randomized algorithms, such as the popular probabilistic roadmap method (PRM) [1] and rapidly-exploring randomized tree method (RRT) [2], path planning study has improved significantly. The derivatives of these algorithms can not only solve the traditional piano mover's problems, but also be competent for path planning of simple robots in changing environments. The work of [3] [4] can successfully plan a path for autonomous cars or mobile robots with low degree of freedom (DOF). More recent works [5] [6] also present efficient path planning algorithms in changing environments. Nevertheless, these algorithms can only plan paths for low-DOF mobile agents. References [7] [8] can effectively solve the problems of manipulators or robots fixed on a certain position. They can find a collision-free path with both stationary obstacles and changing ones in environments. However, problems become much more complicated if these manipulators are mounted on a mobile base.