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.
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