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

3 The Model<strong>in</strong>g of the System for Track<strong>in</strong>g Algorithms<br />

Test<strong>in</strong>g for a Dynamic Helicopter Model<br />

In order to check the correctness of the developed algorithm the dynamic helicopter<br />

model is used. It is not a complete helicopter model. It shows how distortion<br />

affects the helicopter position and orientation. First order lag element represents<br />

this properties. It is possible when the results shown <strong>in</strong> [8,9,10,11,12,13] and flight<br />

controllers are taken <strong>in</strong>to account. Moreover, the camera head dynamics was def<strong>in</strong>ed<br />

by first order lag. It must be assumed that the camera movements are faster<br />

than the reactions of helicopter on control signal. It must be assumed that the helicopter<br />

movements are faster than tracked object movements. Figure 5 represents<br />

the model of helicopter dynamics. It is assumed that the trajectory control system<br />

ensures flight along set trajectory [25, 26].<br />

Fig. 5. The helicopter dynamic model for particular control loops<br />

Therefore the follow<strong>in</strong>g transfer functions denot<strong>in</strong>g helicopter behavior are<br />

proposed:<br />

<br />

<br />

<br />

- transfer function for distortion <strong>in</strong> axis (4)

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