Improving the accuracy of lateral movement control of the medium-haul aircraft using the Kalman observer of alternating wind disturbance

System analysis, control and data processing


Аuthors

Rybnikov S. I.1*, Nguyen T. S.2**

1. ,
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: kaf301@mai.ru
**e-mail: thanhson0410@gmail.com

Abstract

Currently, many accidents are associated with bad weather. This is because the aircraft and crew control system does not accurately predict the impact of external factors of a complex meteorological conditions on the flight process. Therefore, the requirement to develop a system for an accurate assessment of the environmental impact on an airplane is very important. Factors of meteorological conditions include: wind, humidity, air density, temperature. Synthesis of the automatic lateral movement control system in the mode of turn in unfavorable weather conditions (presence of a side wind) is a complex task. This work considers the development of a system for assessing the influence of the side wind on the movement of the aircraft.

The purpose of this article is to improve the quality of the lateral movement control process of the medium-haul airplane by minimizing the static error of deviation from the specified track with the introduction of the signal f or estimating the angle of the side wind and the slip angle in the control law. The input signals (angle of the course, roll, angular velocities) are measured by the BINS.

To obtain an estimate of the slip angle, the angle of the side wind and the drift angle from the given path, a Kalman filter is used, constructed using a linear stationary mathematical model of lateral motion of the aircraft [1]. As a result of the work, Kalman’s discrete filter was created, which allows to provide accuracy of obtaining estimates of the angle of slip, wind angle and angle of drift, which are subsequently introduced into the control law.

The simulation results confirmed the hypothesized hypothesis that the introduction of additional estimated parameters for the motion of the medium-haul aircraft improved the characteristics of transients when working off the deviation from a given track line in the presence of a side wind. In particular, when one-sided and two-sided gusts are acting at a speed of up to 10 m / s, the error of position of the plane concerning the set trajectory of system compensation of indignation decreases approximately by 3 times. In this case, the smaller the step of the discrete Kalman Filter, the more accurate the perturbation estimate it performs.

Keywords:

Kalman filter, observation, crosswind, estimation, compensation, slip angle

References

  1. Letov A.M. Dinamika poleta i upravlenie (Flight Dynamics and Control), Moscow, Nauka, 1969, 360 p.

  2. Yefremov A.V., Zakharchenko V.F., Ovcharenko V.N. et al. Dinamika poleta (Dynamics of flight), Moscow, Mashinostroenie, 2011, 776 p.

  3. Sobolev V.I. Sintez kalmanovskikh fil’trov (Synthesis of Kalman filters), Moscow, Izd-vo MAI, 1994, 72 p.

  4. Sinitsyn I.I. Fil’try Kalmana i Pugacheva (Filters Kalman and Pugachev), Moscow, Logos, 2006, 640 p.

  5. Dinamika letatel’nykh apparatov v atmosfere. Terminy, opredeleniya i oboznacheniya. GOST 20058-80 (Dynamics of aircraft in the atmosphere. Terms, definitions and notation. GOST 20058-80), Moscow, Izd-vo standartov, 1981, 119 p.

  6. Kalman R.E., B’yusi R.S. Tekhnicheskaya mekhanika, 1961, no. 1, pp. 123 – 141.

  7. 7 Medvedev B.C. Metody optimal’nogo otsenivaniya, fil’tratsii i upravleniya. Lineinye sistemy (Methods of optimal estimation, filtration and control. Linear systems), Moscow, Izd-vo MGTU im. N.E. Baumana, 1996, 167 p.

  8. Boltyanskii V.G. Optimal’noe upravlenie diskretnymi sistemami (Optimal control of discrete systems), Moscow, Nauka, 1973, 448 p.

  9. Lebedev G.N., Efimov A.V., Mikhailin D.A. Vestnik Moskovskogo aviatsionnogo institute, 2012, vol. 19, no. 1, pp. 12 – 16.

  10. Lebedev G.N., Rumakina A.V., Mikhailin D.A. Trudy MAI, 2016, no. 91, available at: http://trudymai.ru/eng/published.php?ID=75637

  11. Kishko D.V. Trudy MAI, 2014, no. 78, available at: http://trudymai.ru/eng/published.php?ID=53755

  12. Rybnikov S.I., Nguen T. Sh. Trudy MAI, 2014, no. 95, available at: http://trudymai.ru/eng/published.php?ID=84572

  13. Lebedev G.N., Eliseev V.D., Ivashova N.D. Trudy MAI, 2013, no. 70, available at: http://trudymai.ru/eng/published.php?ID=44508

  14. Mikhailin D.A., Allilueva N.V., Rudenko E.M. Trudy MAI, 2018, no. 98, available at: http://trudymai.ru/eng/published.php?ID=90386&eng=Y

  15. Mohinder S. Grewal, Angus P. Andrews. Kalman Filtering: Theory and Practice Using MATLAB, Wiley, 2015, 640 c.

  16. Maksimov Yu.A., Fillipovskaya E.A. Algoritmy resheniya zadach nelineinogo programmirovaniya (Algorithms for solving nonlinear programming problems), Moscow, MIFI, 1982, 52 p.

  17. McGee T.G., Spry S., Hedrick J.K. Optimal path planning in a constant wind with a bounded turning rate, AIAA Conference on Guidance, Navigation and Control, Kissimmee, 2006, pp. 789 – 790.

  18. McFarland M.B., Zachery R.A., Taylor B.K. Motion planning for reduced observability of autonomous aerial vehicles, IEEE International Conference on Control Applications, 22-27 August 1999, Hawaii, vol. 5, no. 3, pp. 231 – 235.

  19. Wan E.A. and R. van der Merwe. The Square-Root Unscented Kalman Filter for state and parameter-estimation, Proc. Of IEEE Symposium 2000 (AS-SPXX), Lake Louise, Alberta, Canada, 2000, pp. 580.

  20. Nelyubov A.I. Letnye kharakteristiki i boevoe manevrirovanie letatel’nykh apparatov. Matematicheskie metody rascheta boevykh manevrov, vzleta i posadki samoletov s povorotom vektora tyagi dvigatelei (Flight characteristics and combat maneuvering of aircraft. Mathematical methods for calculating combat maneuvers, takeoff and landing of aircraft with the rotation of the thrust vector of engines), Moscow, VVIA im. Zhukovskogo, 1986, 37 p.

  21. Shkadov L.M., Bukhanova P.C., Illarionov V.F. Mekhanika optimal’nogo prostranstvennogo dvizheniya letatel’nykh apparatov v atmosphere (Mechanics of optimal spatial motion of aircraft in the atmosphere), Moscow, Mashinostroenie, 1972, 240 p.


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