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[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

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Object Track<strong>in</strong>g for Rapid Camera Movements <strong>in</strong> 3D Space 71<br />

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

changes <strong>in</strong> the (y, z) plane, which were presented <strong>in</strong> figure 13, are presented <strong>in</strong><br />

figure 14.<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 vertical plane. As figure 11 presents<br />

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

and of the camera rotation towards the tracked object. The camera head turns<br />

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

). Transients and have some transient error, however, steady state error<br />

approaches zero. In this very example we can achieve the improvement of control<br />

quality likewise by means of lead compensator PD <strong>in</strong> close loop <strong>in</strong> the position<br />

where the signals and can be found (cf. fig 9). The same lead compensators<br />

PD which were used previously were used here<strong>in</strong>. The transients<br />

, , and for the disturbance which was def<strong>in</strong>ed <strong>in</strong> figure 13 for the<br />

system with the lead compensator PD are presented <strong>in</strong> figure 15.<br />

Fig. 15. The responses of the system <strong>in</strong> case of excitation def<strong>in</strong>ed <strong>in</strong> figure 13 for the system<br />

with the lead compensator PD<br />

As figure 15 presents there is a considerable enhancement of the transients<br />

quality and the steady state error rema<strong>in</strong>s equal zero. Figure 16 represents the<br />

situation after distortion when the helicopter changes its position both <strong>in</strong> the

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