A. A. Margun, K. A. Zimenko, D. N. Bazylev, A. A. Bobtsov, A. S. Kremlev, D. D. Ibraev, M. Čech

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The paper deals with the problem of control system synthesis for multi rotational UAV equipped with robotics arm. Control algorithm is proposed based on the method of feedback linearization and synthesis of proportional-differential controller with the real time computation of the inertia tensor and center of mass changes and compensation of the reactive torque generated by the dynamics of the manipulator. Quadrocopter with attached articulated manipulator is selected as a model of the control object. Systems of equations describing the behavior of considered dynamical system are obtained according to the Newton and Euler-Lagrange laws. Expressions are offered, defining the inertia tensor and the position of the system center of mass depending on the current position of the manipulator, and the torque acting on the quadrocopter from the manipulator. Feedback linearization with arm influence compensation on quadrocopter is applied for the resulting nonlinear coupled system. As a result, robot dynamics equations have been converted to a linear stationary system. Converted system control is achieved by a proportional-differential controller. Examined system simulation is done with control method described in the paper and the classical method based on a proportional-differential controller. Simulation results confirm the effectiveness of the proposed approach and demonstrate that the proposed approach provides higher accuracy of the tracking error, than control method by means of proportional-differential regulator.

Keywords: quadrocopter, manipulator, UAV, control system

Acknowledgements. The work is partially financially supported by the Government of the Russian Federation (grant 074-U01) and the RF Ministry of Education and Science, agreement 14.Z50.31.003

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