Aerospace Instrument-Making Annotation << Back SYNTHESIS OF GENERALIZED HOMOGENEOUS CONTROL WITH SEPARATE FORMATION OF AMPLITUDE AND PHASE CHARACTERISTICS FOR NONLINEAR AUTOMATIC SYSTEMS Yu.Yu. Shumilov The article proposes a method for the synthesis of nonlinear control for automatic control systems of aircraft, in which self-oscillations arise, the use of which is possible for other dynamic objects. It is based on the homogeneous control justified in the previous works of the author and generalized to the case of a nonzero phase frequency response of the equivalent transfer function, which makes it possible to quite completely solve the problems of suppressing nonlinear oscillations in the in automatic control systems even if it is necessary to phase advance in the operating frequency range. The amplitude characteristic of the control is formed with the help of nonlinear operators, and the phase characteristic – with the help of sequentially connected linear dynamic links. A generalized homogeneous control of the first kind has been formed that does not have eigenfunctions, which makes it possible to cancel the condition for the existence of a phase shift of a multiple between the phase characteristics of the linear parts of the amplitude and phase paths, which is briefly called the multiplicity condition. This reduces the sensitivity of this type of control to interference and deviations from the design parameters of the system. The possibility of the existence of frequency ranges in which the value of the phase shift signifi cantly violates the multiplicity condition is substantiated, and in the operating frequency range the multiplicity condition is satisfied by choosing the linear parts of the control. Keywords: nonlinear system, self-oscillation, phase path, amplitude path, nonliner control. DOI: 10.25791/aviakosmos.4.2021.1213 Pp. 14-21.