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Trajectory tracking control of omnidirectional mobile robot using sliding mode controller

In this paper, a new tracking controller that integrates a kinematic controller (KC) with a new integral sliding mode dynamic controller (NISMC) is designed for an omnidirectional mobile robot (OMR) to track a desired trajectory at a desired velocity. First, a posture tracking error vector is defined, and kinematic controller (KC) is chosen to make the posture tracking error vector go to zero asymptotically. Second, an integral sliding surface vector is defined based on the angular velocity tracking error vector and its integral term. A new integral sliding mode dynamic controller (NISMC) is designed to make the integral sliding surface vector and the angular velocity tracking error vector go to zero asymptotically. The above controllers are obtained based on Lyapunov stability theory. The simulation results are presented to illustrate effectiveness of the proposed tracking controller.