Abstract—Autonomous driving technologies are taken into account for numerous applications such as spraying agricultural chemicals, mowing golf course grass, unmanned military operations and commercial applications such as self-driving cars. This paper presents a kinematic and dynamic controller design of autonomous mobile robot for a car like vehicle to self-drive using GPS. In this paper, a simple kinematic bicycle model is introduced and Model Predictive Controller (MPC) is derived for controlling the mobile robot. Computational simulation results show that the robot can successfully navigate and drive toward a final destination reacting to the changes in the environment. Finally this study presents experimental results to show the effectiveness of the proposed controller.