Backstepping synthesis of the height control system of an unmanned aerial vehicle


Cite item

Abstract

Synthesis of the height control system for an unmanned aerial vehicle (UAV) with a soft wing, like a paraglider or a powered parachute, is considered in the article. An UAV is described, its scheme is shown, the forces and moments acting on it in the longitudinal plane are examined. A mathematical model of UAV motion is described in a body-axis coordinate system. Direct control is provided by the thrust motor. The thrust motor is mounted on the UAV so that the thrust is directed along the OX axis in the OXY plane. It is proposed to form the height control law on the basis of the thrust moment, which gives the advantage of stabilizing the angular velocity and the pitch angle. To synthesize the control and stabilization systems, the backstepping method is applied. According to this method, the task of developing a control law for the entire system is divided into a sequence of respective subtasks to lower-order subsystems. The algorithm of backstepping consists in making each integrator of the object stable by adding the feedback computed from this algorithm. The resulting control takes into account the nonlinearity of the object and depends on the entire state vector. The main advantages of the regulator obtained are: the system is stable within a broad range of input values; by varying the regulator coefficients, you can easily select the desired characteristics of control quality. The results of numerical simulation of UAV motion with the regulator obtained in the MATLAB environment are presented in the article.

About the authors

S. A. Akhramovich

Moscow Aviation Institute (National Research University)

Author for correspondence.
Email: akhramovichsa@gmail.com

Senior Lecturer of the Department 604 of System Analysis and Control

Russian Federation

A. V. Barinov

Moscow Aviation Institute (National Research University)

Email: alphard.ayer@gmail.com

Postgraduate Student of the Department 604 of System Analysis and Control

Russian Federation

V. V. Malyshev

Moscow Aviation Institute (National Research University)

Email: veniaminmalyshev@mail.ru

Doctor of Science (Engineering), Professor, Head of the Department 604
of System Analysis and Control

Russian Federation

A. V. Starkov

Moscow Aviation Institute (National Research University)

Email: starkov@goldstar.ru

Candidate of Science (Engineering), Assistant Professor of the Department 604 of System Analysis and Control

Russian Federation

References

  1. Usachov V.E., Targamadze R.C. Principles and algorithms of formation a system of mathematical models of a target mission of UAV. Trudy MAI. 2011. No. 49. Available at:http://trudymai.ru/published.php?ID=28282 (In Russ.)
  2. Zaitsev P.V., Formal'skii A.M. Paraglider: mathematical model and control. Doklady Mathematics. 2008. V. 77, Iss. 3. P. 472-475. doi: 10.1134/S1064562408030411
  3. Ivanov P.I. Proyektirovaniye, izgotovleniye i ispytaniya paraplanov: metodicheskoye rukovodstvo dlya razrabotchikov paraplanernykh sistem, konstruktorov i ispytateley [Design-ing, manufacturing and testing of paraplanes: Study guide for developers of paragliding sys-tems, designers and testers]. Feodosiya: KP «Grand-S» Publ., 2001. 256 p.
  4. Byushgens G.S., Studnev R.V. Dinamika samoleta. Prostranstvennoye dvizheniye [Aircraft dynamics. Spatial motion]. Moscow: Mashinostroenie Publ., 1983. 320 p.
  5. Burago S.G., Sadekova G.S. Raschet aerodinamicheskikh kharakteristik letatel’nogo apparata s primeneniyem EVM: uch. posobiye [Computer-aided calculation of aircraft aero-dynamic characteristics: Tutorial]. Moscow: Moscow Aviation Institute Publ., 1987. 60 p.
  6. Beard R.W., McLain T.W. Small unmanned aircraft: theory and practice. Princeton University Press, 2012. 300 p.
  7. Lebedev A.A., Chernobrovkin L.S. Dinamika poleta bespilotnykh letatel’nykh appa-ratov: uch. posobiye dlya vuzov [Unmanned aerial vehicle flight dynamics. Textbook for higher schools]. Moscow: Mashinostroenie Publ., 1973. 615 p.
  8. Akhramovich S.A., Barinov A.V., Malyshev V.V., Starkov A.V. Attitude control system design by quad tiltrotor at pitch and roll in vertical configuration. Vestnik NPO im. S.A. Lavochkina. 2018. No. 1. P. 72-78. (In Russ.)
  9. Khalil H.K. Nonlinear Systems. Prenitce-Hall, 2002. 750 p.
  10. Chebykin D.V. Backstepping — methods of synthesis of nonlinear control. Sb. dokladov mezhdunarodnoy konferentsii studentov, aspirantov i molodykh uchеnykh «Infor-matsionnyye tekhnologii, telekommunikatsii i sistemy upravleniya». Ekaterinburg: Ural Federal University Publ., 2015. P. 248-254. (In Russ.)
  11. Chernykh I.V. SIMULINK: sreda sozdaniya inzhenernykh prilozheniy [SIMULINK: environment for creating engineering application]. Moscow: Dialog-MIFI Publ., 2003. 491 p.
  12. Lebedev G.N., Eliseev V.D., Ivashova N.D. A problem statement and an approach for automatic control of UAV landing maneuver in strong crosswind. Trudy MAI. 2013. No. 70. Available at: http://trudymai.ru/published.php?ID=44508 (In Russ.)
  13. Leonov V.A., Chubarev I.V. Robust-adaptive controller design for spatial motion of high-speed vehicle. Trudy MAI. 2012. No. 50. Available at: http://trudymai.ru/published.php?ID=28699 (In Russ.)
  14. Chubarev I.V., Leonov V.A. Robust-adaptive controller design for the longitudinal motion of high-speed vehicle. Trudy MAI. 2011. No. 44. Available at: http://trudymai.ru/published.php?ID=25047 (In Russ.)

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