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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 73<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 16, are presented <strong>in</strong><br />

figure 17.<br />

Transients , have some transient error, however, steady state error approaches<br />

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>.<br />

The transients , , and for the disturbance which was def<strong>in</strong>ed <strong>in</strong><br />

figure 15 for the system with the lead compensator PD are presented <strong>in</strong> figure 18.<br />

Fig. 18. The responses of the system <strong>in</strong> case of excitation def<strong>in</strong>ed <strong>in</strong> figure 16 for the system<br />

with the lead compensator PD<br />

As figure 18 presents there is a considerable enhancement of the transients<br />

quality and the steady state error rema<strong>in</strong>s equal zero. As the presented examples<br />

<strong>in</strong>dicate, the developed control system provides the correct object track<strong>in</strong>g dur<strong>in</strong>g<br />

disturbances which occur <strong>in</strong> various directions <strong>in</strong> 3D.

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