Abstract
Various methods of stability analysis of an airplane with a MIMO control system are considered in the framework of frequency analysis. They assume that the control system is open for selected signal with other loops closed or that system is open for all signals of selected loops and allow solving the stability equation and calculating the eigenvalues of the matrix of transfer functions. It is shown that all methods deal with different forms of the same equation, and thus the equivalence of methods considered for calculating closed-loop stability domains is proved. The application of methods is demonstrated for calculation of stability domains for an airplane equipped with MIMO stability and control augmentation system in lateral motion that uses ailerons 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 control system gains; this introduces uncertainty to the concept of amplitude and phase margins.
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Translated by V. Potapchouck
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Bazhenov, S.G., Kozyaichev, A.N. & Korolev, V.S. Stability Analysis of an Airplane with MIMO Control System Based on Frequency Methods. Autom Remote Control 82, 1271–1280 (2021). https://doi.org/10.1134/S0005117921070109
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DOI: https://doi.org/10.1134/S0005117921070109