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.

210 M. Mellado and K. Skrzypczyk<br />

a pose of each agent is determ<strong>in</strong>ed by a triple , , , ,Θ , , where the elements<br />

denote coord<strong>in</strong>ates of the center and head<strong>in</strong>g of the agent def<strong>in</strong>ed <strong>in</strong> the<br />

workspace coord<strong>in</strong>ate frame.<br />

2.3 Sens<strong>in</strong>g Abilities<br />

Each robotic agent is provided with perception devices that allow it to detect objects<br />

<strong>in</strong> its vic<strong>in</strong>ity. Therefore, let us def<strong>in</strong>e a set of objects detected by the <br />

agent as a set of <strong>in</strong>dices:<br />

, , (3)<br />

The perception of the agent is limited by the range of its sensors. The range of the<br />

sensors is denoted by , , which means that only those objects can be detected by<br />

the agents satisfy<strong>in</strong>g the follow<strong>in</strong>g:<br />

, , , , , ,<br />

(4)<br />

Each agent is able to assess its detection quality. It is def<strong>in</strong>ed by certa<strong>in</strong>ty factor<br />

which varies <strong>in</strong> range from 0 to 1. The design of detection model and certa<strong>in</strong>ty<br />

evaluation is not the subject of this paper. For the purpose of the study we assume<br />

that detection certa<strong>in</strong>ty of the agent is <strong>in</strong>fluenced by two factors. The first one is<br />

related to its perception abilities which (it this study) decreases with the distance<br />

<br />

, between the agent and object. The second factor <strong>in</strong>fluenc<strong>in</strong>g the certa<strong>in</strong>ty<br />

is a random process related to the sens<strong>in</strong>g devices <strong>in</strong>accuracy, noise etc. The<br />

<strong>in</strong>fluence level of particular factors is weighted by coefficients and the sum<br />

of which is equal to one. Us<strong>in</strong>g those coefficients we can simulate the sens<strong>in</strong>g<br />

reliability of the given agent. In the study presented the detection certa<strong>in</strong>ty of the<br />

object by the agent is modeled as:<br />

̂, , , 12 , (5)<br />

where 1 and 0,1 is a random number that characterize the <strong>in</strong>fluence<br />

of <strong>in</strong>accuracy and uncerta<strong>in</strong>ty. The component ,<br />

<br />

is related to perception<br />

abilities of the agent and is def<strong>in</strong>ed as:<br />

, <br />

1 <br />

1<br />

1 ,<br />

, (6)<br />

Balanc<strong>in</strong>g the <strong>in</strong>fluence of the random and detection part of the model we can<br />

simulate reliability of particular agents.<br />

2.4 Communication<br />

Agents are provided with communication devices that allow the exchange of<br />

<strong>in</strong>formation and coord<strong>in</strong>ation of mutual actions. It is also assumed that the

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

Saved successfully!

Ooh no, something went wrong!