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Stability Analysis of an Airplane with MIMO Control System Based on Frequency Methods

Stability Analysis of an Airplane with MIMO Control System Based on Frequency Methods Various methods of stability analysis of an airplane with a MIMO control system areconsidered in the framework of frequency analysis. They assume that the control system is openfor selected signal with other loops closed or that system is open for all signals of selected loopsand allow solving the stability equation and calculating the eigenvalues of the matrix of transferfunctions. It is shown that all methods deal with different forms of the same equation, and thusthe equivalence of methods considered for calculating closed-loop stability domains is proved. Theapplication of methods is demonstrated for calculation of stability domains for an airplaneequipped with MIMO stability and control augmentation system in lateral motion that usesailerons and rudder as control surfaces. It is shown that in the case of a MIMO system,an open-loop transfer function that defines closed-loop stability is a nonlinear function of controlsystem gains; this introduces uncertainty to the concept of amplitude and phase margins. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automation and Remote Control Springer Journals

Stability Analysis of an Airplane with MIMO Control System Based on Frequency Methods

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References (9)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0005-1179
eISSN
1608-3032
DOI
10.1134/s0005117921070109
Publisher site
See Article on Publisher Site

Abstract

Various methods of stability analysis of an airplane with a MIMO control system areconsidered in the framework of frequency analysis. They assume that the control system is openfor selected signal with other loops closed or that system is open for all signals of selected loopsand allow solving the stability equation and calculating the eigenvalues of the matrix of transferfunctions. It is shown that all methods deal with different forms of the same equation, and thusthe equivalence of methods considered for calculating closed-loop stability domains is proved. Theapplication of methods is demonstrated for calculation of stability domains for an airplaneequipped with MIMO stability and control augmentation system in lateral motion that usesailerons and rudder as control surfaces. It is shown that in the case of a MIMO system,an open-loop transfer function that defines closed-loop stability is a nonlinear function of controlsystem gains; this introduces uncertainty to the concept of amplitude and phase margins.

Journal

Automation and Remote ControlSpringer Journals

Published: Jul 1, 2021

Keywords: MIMO system; open-loop transfer function; matrix of transfer functions; stability margin; airliner; stability and control augmentation system

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