We propose a software-based projected image stabilization method for a projector mounted on a movable unit (e.g., a wheeled robot). The proposed method is divided into pre-measurement and stabilization processes. In the pre-measurement process, synchronized Inertial Measurement Unit (IMU) data and projector poses are measured and synchronized. In the stabilization process, the pre-measured IMU data are compared to IMU data obtained when a projector moves. After the projector pose is estimated, the parameters used to warp projected images to the correct position in the correct form are generated. The proposed method is compared to non-control and gyroscope-based methods. The experimental results indicate that the proposed method produces better results.