Control parameters for processes of amplitude stabilization in the vicinity of orbital-stable limit cycles

摘要

The problem of regulation oscillatory modes with set characteristics in a controlled subsystem by means of the amplitude of oscillations of the control generator is considered. The control generator is connected with the system control object in a nonlinear feedback mode. The structure of control functions, which depends on the variables of the controlled subsystem is studied for the control generator. With such control, the output of the generator to a self-oscillating mode is accompanied by excitation of self-oscillations in a controlled part. In the article found the ratio between the amplitudes of the control generator and controlled subsystem. The proposed approach makes it possible to control not only the geometry of limit cycles, but also the size of the domain limited to these cycles. The scheme of synthesis of controlled motion can be used in the trajectory problems of robotics, at the construction of generators of oscillations and frequency converters. The main results of the article are illustrated with numerical modeling of the processes of limit cycles formation.