To overcome the problem of long convergence time and severe shaking occurred in the path tracking control of a mobile robot adopting traditional sliding mode control approach, a path tracking method is developed for guiding a mobile robot by employing the backstepping sliding model control technique and double power reaching law, a remote control platform for a mobile robot is build based on Kinect. First, pyramid and threshold segmentation algorithms are used to preprocess the original images which containing the desired path are captured by the Kinect. Then, skeleton pixels of the desired path are extracted from segmented images by Zhang fast parallel thinning algorithm and further converted into the physical coordinate frame. Next, the linear regression algorithm is adopted to identify path parameters by fitting transformed physical coordinates. Finally, backstepping sliding mode control and double power reaching law are synthesized to design the proposed path following controller capable of guaranteeing a fast cross-track error minimization and convergence rate. Through simulation experiment, the distance deviation and angle deviation of the proposed can converged in 2.3 seconds and 2.5 seconds respectively, and have better steady-state performance. Based on the real scene, the iRobot Create mobile robot path tracking remote control experiment results show that the path tracking error is only 0.0127 meters. Simulation and experimental results verify that the proposed control method and remote control platform can weaken the shaking and increase the speed of convergence.