Geodesic
Linear-quadratic control of aircraft group
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2019), pp. 5-10.

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Today, there are a large number of tasks that can not be performed by a single unmanned aerial vehicle. In this case, the use of a group of unmanned aerial vehicles is a good solution. These tasks include the task of mapping the area, work in the field of technogenous (human-caused) or natural disasters, monitoring and processing of agricultural land, the study in real time remote areas. In terms of a megapolis a group of aircraft can be used to create panoramic views, and tracking the dynamics of traffic jams. A group of unmanned aerial vehicles can be used for express cargo transportation, a group of unmanned aerial vehicles can be used in mineral exploration tasks. In this paper we consider the problem of joint movement of several unmanned aerial vehicles based on rigid links. The method of linear-quadratic regulation is applied. The movement of a group of drones is modeled by the method of leader-follower and the method of RD control with linear – quadratic regulation is applied. An algorithm for constructing an optimal control system for a tightly coupled group of quadcopters is developed. To solve the problem it is proposed to use the method of linear-quadratic regulation. The mathematical model of the system of quadcopters with rigid connection is constructed. The graphs show the results of modeling the system of rigid-coupled quadcopters.
Keywords: unmanned aerial vehicle, linear-quadratic regulation, quadcopter (quadrotor), moving coordinate system
Mots-clés : Euler angles, moment of inertia. 
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D. L. Vinokursky; N. V. Kononova; L. A. Lyutikova; S. A. Makhocheva; M. M. Kandrokova. Linear-quadratic control of aircraft group. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2019), pp. 5-10. http://geodesic.mathdoc.fr/item/IZKAB_2019_2_a0/

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