In this article, we present a control method for mobile power assist systems. Most mobile power assist systems have a heavy mobile base for preventing easy tumbling, so the continual movement of the base during operations causes high energy consumption and gives a high risk of human injury. Furthermore, the slow dynamics of the base limits the frequency bandwidth of the whole system. We propose a cooperation control method of the mobile base and manipulator, which removes the unnecessary movement of the base. In our scheme, the mobile base does not move until the tip position of the manipulator deviates from a user-defined preferred operating region. When the tip position reaches the boundary of the preferred operating region, the operator can feel reflecting force caused by the virtual impedance, which pushes the manipulator's tip into the preferred operating region. And if the operator applies larger force than a threshold value of reflecting force, the base starts moving to recover the manipulator's initial configuration. Our scheme is implemented by assigning a virtual mass–damper–spring impedance to the manipulator's tip. The experimental results show the efficacy of the proposed control methods. © 2000 John Wiley & Sons, Inc.