This paper investigates the synchronization of a power-driven moving agent network via pinning control. The power-driven moving agent network exhibits a directed and time-varying topology in which each agent equipped with a chaotic oscillator is abstracted as a random walker moving in a planar space, and interactions between the agents are established by emitting and receiving waves. Under the constraint of fast switching, the synchronization of the controlled network can be achieved by acting linear feedback on a small fraction of randomly selected nodes. Theoretical results show that, the pinning controllability is determined by the pinning power density which is independent of the network size and the number of pinned nodes. Several numerical simulations validate the effectiveness of the analytical results above-acquired.