LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts

Ezzeddin M. Elarbi, Dina Shona Laila, Abdulhamid A. Ghmmam, Nadjim Horri

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Abstract

The stick-fixed longitudinal flight of Boeing® 747-100 is compared at three Mach-altitude conditions: 0.2 at sea-level; 0.5 at 20,000ft; and 0.9 at 40,000ft, as centre of gravity (CG) shifts. Velocity, pitch rate, attitude and altitude with elevator and throttle commands have been simulated for each flight condition. These simulations indicate stable complex eigenvalues with low stability margins. Stick-fixed flight is dominated by insufficiently damped long-period responses with an initial short-period effect. Dynamic stability and performance of the stick-free autopilot is investigated using a linear quadratic regulator (LQR) algorithm in the presence of CG shifts. Steady state convergence is achieved within a few seconds with acceptable flying qualities. The controller has been revised to cope with Mach-altitude constraints and demonstrates autopilot ability to mainain stable cruise flight. The results emphasise the plane is dynamically stable and satisfactorily trimmed at those CG cruise conditions.
Original languageEnglish
Title of host publicationProc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga)
Pages114-124
Number of pages11
ISBN (Electronic)978-605-67535-3-4
Publication statusPublished - 12 Sep 2017
EventInternational Conference on Advanced Technology & Sciences - Riga, Latvia
Duration: 12 Sep 201715 Sep 2017
Conference number: 6
https://www.icatsconf.org/LATVIA2017/latvia2017/announcements

Conference

ConferenceInternational Conference on Advanced Technology & Sciences
Abbreviated titleICAT'Riga
CountryLatvia
CityRiga
Period12/09/1715/09/17
Internet address

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Gravitation
Mach number
Elevators
Sea level
Controllers

Cite this

Elarbi, E. M., Laila, D. S., Ghmmam, A. A., & Horri, N. (2017). LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts. In Proc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga) (pp. 114-124)

LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts. / Elarbi, Ezzeddin M.; Laila, Dina Shona; Ghmmam, Abdulhamid A.; Horri, Nadjim.

Proc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga) . 2017. p. 114-124.

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

Elarbi, EM, Laila, DS, Ghmmam, AA & Horri, N 2017, LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts. in Proc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga) . pp. 114-124, International Conference on Advanced Technology & Sciences, Riga, Latvia, 12/09/17.
Elarbi EM, Laila DS, Ghmmam AA, Horri N. LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts. In Proc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga) . 2017. p. 114-124
Elarbi, Ezzeddin M. ; Laila, Dina Shona ; Ghmmam, Abdulhamid A. ; Horri, Nadjim. / LQR Reference Tracking Control of Boeing 747-100 Longitudinal Dynamics with CG Shifts. Proc. 6th International Conference on Advanced TEchnology & Science (ICAT'Riga) . 2017. pp. 114-124
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