Optimal sliding control of mobile manipulators

The paper adresses optimal control problem of mobile manipulators. Dynamic equations of those mechanisms are assuemd herein to be uncertain. Moreover, unbounded disturbances act on the mobile manipulator whose end-effector tracks a desired (reference) trajectory given in a task (Certesian) space. A compytionally efficient class of two-stage cascaded (hierarchchical) control algotithms based on both the transpose Jacobian matrix and transpose actuation matrix, has been proposed. The offered control laws involve to kinds of non-singular terminal sliding mode (TSM) manifolds, which were also introduced in the paper. The proposed class of cooperating sub-controllers is shown to be finite time stable be fulfilment of practically reasonable assumptions. The performance of the proposed control strategies is illustated on an exemplary mobile manipulator whose end-effector tracks desired trajectory.