In this paper, an approach of trajectory tracking is proposed. The approach is based on two controls. Firstly, a quasi sliding mode control is proposed of the angular velocity in aim to converge the angle error to zero in short time with asymptotic stability. Secondly, a global sliding mode control for linear velocity is proposed, in order to bring the position error to zero and ensure the asymptotic stability by using the Lyapunov theory. Finally, the proposed control shows the performance of the algorithm, and the simulation results show good convergence for circular, sinusoidal and specific trajectories.

This paper presents a PID fast terminal sliding mode dynamic inverse control method for wheeled mobile robots. Because of the nonlinear and nonholonomic properties, it is difficult to establish an appropriate model of the mobile robot system for trajectory tracking. The PID Control is based on a fast terminal sliding mode control to ensure asymptotic stabilization of the robot's position and orientation around the desired trajectory, taking into account the kinematics and dynamics of the robot. The idea behind this strategy is to use the terminal sliding mode control approach to assure the finite time convergence of tracking errors to zero. Simulation works demonstrate the efficacy of the proposed system for mobile robots robust tracking trajectory.