Path planning together with the tuning and determination of controller parameters are major concerns in omnidirectional mobile robots. Defining appropriate controller parameters in acceleration and deceleration to reach far and near target points without slippage is one of critical issues since some troubles due to unregulated velocities may greatly affect the ability of robot for the specified path planning and attaining the mentioned targets. A robot accurate kinematic and dynamic modeling and simulation accompanied by velocity and acceleration filtering are mainly discussed in this paper. Major changes and improvements in motion analysis, simulation and accuracy for the newly presented model and its efficiency are discussed in comparison with the previous simple kinematic modeling. Employing the new approach for robot dynamic modeling, particularly acceleration filtering, results in to the more precise robot control and achieving appropriate results.