Dual quaternion-based moving target trajectory tracking adaptive sliding mode control for robotic manipulator

This article focuses on the moving target trajectory tracking control problem for robotic manipulator. The dynamics models of the rigid-body moving target and the manipulator end-effector based on the unit dual quaternion are firstly established. Then, the relative motion dynamics equation is deduced according to the arithmetic rules of dual quaternion.

Further, an adaptive sliding mode controller is put forward to guarantee that the error between the pose of the rigidbody moving target and the pose of manipulator end-effector asymptotically converges to zero, where the upper bound on the norm of the uncertainty in the second-order differential error dynamics equation is estimated online by adaptive law. It is ensured via the Lyapunov theory that the asymptotic stability of the closed-loop system. Numerical simulation validates the theoretical consequences.