EQUATIONS OF PERIODIC PROSESSES WHICH COUNT SPECIFICS OF DYNAMICS OF ITS EVOLVING IN CONTROL SYSTEMS OF AERIAL VEHICLES WITH THE DIGITAL COMPUTER ONBOARD

Abstract

In the article by means of the combined use of the mathematical apparatus of the Laplace transform and its discrete analogue (D – transform) on the basis of the method of harmonic linearization, we obtain the equations that describe spontaneous periodic processes occurring in nonlinear continuous discrete systems (CDS) of automatic control. The obtained equations of periodic processes take into account the specifics of the dynamic properties of nonlinear CDS and take a different form depending on the features of the structural scheme of the system under study (from the type of nonlinear element, the quantity and location of the pulsed elements relative to the nonlinear element). They allow us to investigate the simplest spontaneous periodic processes, as well as periodic processes specific to the CDS, the frequency of which is not related to the integral relation with the frequency of the switching of the pulse element of the system. This makes it possible to more fully take into account the kind of possible periodic modes in the system and improve the accuracy of their parameters.

Keywords

• harmonic linearization
• pulsed element
• nonlinear element
• uninterrupted discrete system of automatic management