This paper deals with the problem of control design of an underwater vehicle/manipulator system composed of a free navigating platform equipped with a robot manipulator. This composite system is driven by actuators and sensors having substantially different bandwidth characteristics due to their nature. Two control laws are proposed. The first is a simplification of the computed torque control law which only requires partial compensation for the slow-subsystem. Feedback compensation is only-needed to overcome the coupling effects from the arm to the basis. The second aims at replacing this partial compensation by a robust nonlinear control that does not depend on the model parameters. The closed-loop performance of this controller is close to that of the model-based compensation. Both control laws are shown to be closed-loop stable in the sense of the perturbation theory. A comparative study between a linear PD controller, a partial model-based compensation, and the nonlinear robust feedback is presented.
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Wit et al. (2000) studied this question.
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