13.08.2018 Views

[Studies in Computational Intelligence 481] Artur Babiarz, Robert Bieda, Karol Jędrasiak, Aleksander Nawrat (auth.), Aleksander Nawrat, Zygmunt Kuś (eds.) - Vision Based Systemsfor UAV Applications (2013, Sprin

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

68 Z. <strong>Kuś</strong> and A. <strong>Nawrat</strong><br />

Fig. 11. Transients and def<strong>in</strong><strong>in</strong>g the object track<strong>in</strong>g <strong>in</strong> the response to the disturbance<br />

which impact the helicopter only <strong>in</strong> the horizontal plane<br />

Transients , , and <strong>in</strong> the response to the camera position<br />

changes <strong>in</strong> the (x, y) plane, which were presented <strong>in</strong> figure 10, are presented <strong>in</strong><br />

figure 11.<br />

The change of the camera position is equal to the change of the helicopter position<br />

which is the result of w<strong>in</strong>d blow<strong>in</strong>g <strong>in</strong> a horizontal plane. As figure 11<br />

presents the change of the , position caused the change of the required<br />

angles , of the camera rotation towards the tracked object. The camera<br />

head turns <strong>in</strong> order to set the camera rotation angles to set values ( and<br />

. Transients and have some m<strong>in</strong>or overshoots, however, steady<br />

state error approaches zero.<br />

We can improve the control quality by means of add<strong>in</strong>g lead compensator PD<br />

<strong>in</strong> close loop <strong>in</strong> the position where the signals and can be found<br />

(cf. fig. 9).<br />

The transfer functions of these lead compensators PD, which will also be used<br />

<strong>in</strong> the follow<strong>in</strong>g examples, are as presented below:

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!