IEEE - Aerospace and Electronic Systems - August 2022 - 33

Schwung and Lunze
influence of different communication models on the estimate
is compared in detail in [31]. In [32], the uncertainty
about the trajectory of the obstacle results only from an
uncertain speed profile along the planned path. This uncertainty
is modeled by Bezier surfaces. In [33], the uncertainty
about the trajectory is approximated using lines and
arcs. A random change of both the path and the speed profile
is not considered in either paper. The collision avoidance
results in this article are comparable to the results
in [32] and [33] in terms of the deviation of the avoidance
trajectory from the initial trajectory as well as the smoothness
of the replanning. Furthermore, with the method presented
in this article the collision avoidance can be
guaranteed despite the uncertainties about the trajectory of
the obstacle are larger due to possible changes of both
path and speed profile. Since the information between the
UAVs is solely communicated, the avoidance manoeuvre
in case of packet losses is more aggressive compared to
the methods in [32] and [33].
REFERENCES
[1] M. Schwung, D. Vey, and J. Lunze, " Quadrotor tracking
control: Design and experiments, " in Proc. Conf. Control
Technol. Appl., 2019, pp. 768-775.
[2] Y. Zhou, J. Li, L. Lamont, and C.-A. Rabbath, " A Markovbased
packet dropout model for UAV wireless communications, "
J. Commun., vol. 7, no. 6, pp. 418-426, 2012.
[3] S. N. Venkatasubramanian, " Propagation channel model
between unmanned aerial vehicles for emergency communication, "
M.S. thesis, Dept. Radio Sci. Eng., Aalto Univ., Helsinki,
Finland, 2013.
[4] C. Yan, L. Fu, J. Zhang, and J. Wang, " A comprehensive
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CONCLUSION
This article has proposed a method for the cooperative
control oftwo UAVs. The functions ofthe objects are subdivided
into a stand-on object and a give-way object,
which are connected by an unreliable communication network.
While the stand-on object changes its movement in
response to appearing obstacles, the give-way object has
to ensure the collision avoidance by an appropriate change
of its trajectory. It utilizes a control unit, which contains a
prediction unit to include all possible future positions of
the stand-on object in a set. An event generator indicates
whenever communication must be invoked and the trajectory
of the give-way object must be changed. A delay estimator
generates online an estimate of the time delay of the
communicated data using a two-state Markov model.
The function associated with the objects can be
changed according to the situation. An object that has to
change its trajectory due to obstacles is the stand-on
object, while the other object gets automatically the function
of the give-way object.
The estimation method is evaluated and it is proven
that the combination of the delay estimator with the control
unit guarantees collision avoidance even in the presence
of network uncertainties. A maximum separation
between the objects can be satisfied with a given probability.
Furthermore, the communication flow of the method
is illustrated.
A simulation study shows that with the method the
control aims are achieved despite the occurrence of time
delays and packet losses with satisfaction of the objects
dynamic constraints.
AUGUST 2022
[6] B. Zhu, L. Xie, D. Han, X. Meng, and R. Teo, " A survey
on recent progress in control of swarm systems, " Sci.
China Ser. F. Inf. Sci., vol. 60, pp. 1-24, 2017.
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approach using dynamic graphs, " IEEE Trans. Aerosp.
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[8] J. Scherer et al., " An autonomous multi-UAV system for
search and rescue, " in Proc. Workshop Micro Aerial Veh.
Netw., Syst. Appl. Civilian Use, 2015, pp. 33-38.
[9] J.W.Fenwick,P.M.Newman,and J.J.Leonard,
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IEEEInt. Conf. Robot.Automat., 2002, pp. 1810-1817.
[10] N. Nigam and I. Kroo, " Control and design of multiple
unmanned air vehicles for a persistent surveillance task, "
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Conf., 2008, pp. 1-19.
[11] A. Ahmadzadeh, A. Jadbabaie, V. Kumar, and G. J. Pappas,
" Multi-UAV cooperative surveillance with spatiotemporal
specifications, " in Proc. Conf. Decis. Control,
2006, pp. 5293-5298.
[12] A. A. Khujawa, Y. Chen, N. Zhao, M.-S. Alouini, and P.
Dobbins, " A survey of channel modeling for UAV
communications, " IEEE Com. Surv. Tut., vol. 20, no. 4,
pp. 2804-2821, Oct.-Dec. 2018.
[13] E. N. Gilbert, " Capacity of a burst-noise channel, " Bell
Syst. Tech. J., vol. 39, pp. 1253-1265, 1960.
[14] E. O. Elliott, " Estimates oferror rate for codes ofburst-noise
channels, " Bell Syst.Tech.J., vol. 42, pp. 1977-1997, 1963.
[15] N. Goddemeier and C. Wietfeld, " Investigation of air-to-air
channel characteristics and a UAV specific extension to the
Rice model, " in Proc. IEEE Globecom Workshops, 2015,
pp. 1-5.
IEEE A&E SYSTEMS MAGAZINE
33

IEEE - Aerospace and Electronic Systems - August 2022

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