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Underwater Robots - Gianluca Antonelli.pdf

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7.2 Feedforward Decoupling Control<br />

7.2 Feedforward Decoupling Control 143<br />

In 1996 T. McLain, S.Rock and S. Lee, in [205, 206], present acontrol<br />

law for UVMSs with some interesting experimental results conducted at the<br />

Monterey Bay Aquarium Research Institute (MBARI). A1-link manipulator<br />

is mounted on the vehicle OTTER (see Figure 7.1) controlled in all the 6-<br />

DOFs by mean of 8thrusters. Acoordinated control is then implemented to<br />

improve the tracking error of the end effector.<br />

Fig. 7.1. OTTER vehicle developed in the Aerospace Robotics Laboratory at<br />

Stanford University (courtesy of T. McLain, Brigham Young University)<br />

In order to explain the control implemented let rewrite the equations of<br />

motion for the sole vehicle in matrix form as<br />

M v ˙ν + C v ( ν ) ν + D RB( ν ) ν + g RB( R I B )=τ v − τ m ( R I B , q , ζ , ˙ ζ )(7.1)<br />

where τ m ( R I B , q , ζ , ˙ ζ ) ∈ IR 6 represents the coupling effect caused bythe presence<br />

of the manipulator. The control ofthe vehicle and ofthe arm isachieved,<br />

independently, by classical control technique. The coordination action

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