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Underwater Robots - Gianluca Antonelli.pdf

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144 7. Dynamic Control of UVMSs<br />

is obtained by adding to the vehicle thrusters afeedforward compensation<br />

term that is an estimate of τ m :<br />

τ v = τ control + ˆτ m ( R I B , q , ζ , ˙ ζ ) (7.2)<br />

where τ control ∈ IR 6 is the control actionoutput by the sole vehicle controller.<br />

In [206] thereare experimentalresults conducted with the vehicle OTTER<br />

that isabout 2 . 5m long, 0 . 95 mwide, and 0 . 45 mtall and weights about<br />

145kginair. The arm used has a7. 1cmdiameter and is 1m long. The control<br />

benefits from avariety of commercial sensors: an acoustic short-baseline<br />

for the horizontal position, apressure transducer for the depth, adual-axis<br />

inclinometer for the roll and pitch angles, aflux-gate compass for the yaw,<br />

and solid-state gyros for the angular velocities. The control loop has been<br />

implemented at afrequency of100 Hz, i.e., the frequency of all the sensors<br />

expect the baseline acoustic that worked at 2 . 5Hz.<br />

˜η ee1 [m]<br />

˜η ee1 [m]<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 5 10 15 20<br />

time [s]<br />

Decoupling Control Only<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

No Vehicle Control<br />

0<br />

0 5 10 15 20<br />

time [s]<br />

˜η ee1 [m]<br />

˜η ee1 [m]<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 5 10 15 20<br />

time [s]<br />

Feedback with Decoupling Control<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

Feedback Control Only<br />

0<br />

0 5 10 15 20<br />

time [s]<br />

Fig. 7.2. Feedforward Decoupling control. End-effector errors of aperiodic motion.<br />

Top-left: without vehiclecontrol; top-right: with the sole decoupling action; bottomleft:<br />

with the sole vehicle feedback control; bottom-right: the proposed approach<br />

(courtesy of T. McLain, Brigham Young University)

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