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Adaptative high-gain extended Kalman filter and applications

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tel-00559107, version 1 - 24 Jan 2011<br />

Figure 4.22: Compilation of a real-time task.<br />

4.3 real-time Implementation<br />

− that measurements of the current, voltage <strong>and</strong> speed are fed to the hard real-time O.S.,<br />

− <strong>and</strong> that set values for the voltage are delivered to the power supply.<br />

The hard real-time O.S. has therefore 3 inputs <strong>and</strong> 1 output signals.<br />

Figure 4.25 displays both a picture of the testbed. Also shown in the photograph is the<br />

the friction tool n ◦ 1. The undetermined perturbations were produced by means of a h<strong>and</strong><br />

applied braking friction on the (back) motor’s shaft.<br />

The computer was a Dell PC equipped with a P. IV, 3GHz processor <strong>and</strong> a 512 Mb DDR2<br />

SDRAM memory.<br />

4.3.3 Modeling<br />

A model for the series-connected DC machine has been proposed in Section 4.1.1 above.<br />

We now need to adapt this model to the testbed as the presence of the propeller needs to be<br />

taken into account. This model can be written, in a short form,<br />

�<br />

I ˙ 1 = L (V − R.I − Laf Iωr)<br />

ωr ˙ = 1<br />

J (Laf Iωr − Tres)<br />

where Tres is the overall resistive torque. The model from Section 4.1.1 is changed in the two<br />

following ways:<br />

80

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