Description of the stability of a hydrodynamic system using the frequency method of synthesis of multidimensional systems on the example of the «Verkhneberezovskaya ploshchad deposit»

Kaliberda Igor' Vladimirovich

The mathematical model of the mineral water deposit "Verkhneberezovskaya square" is considered. A hodograph is described in the form of logarithmic amplitude and phase frequency surfaces, which can be used in the interpretation of the Nyquist stability criterion by graphs. A frequency method for the synthesis of multidimensional systems is considered, when the input effects to a distributed controller are realized in the form of a discrete function over space. The condition under which the object belongs to the class of spatially invariant is shown. It is concluded that the frequency method of synthesis of regulators is a convenient tool for describing the stability of hydrodynamic systems.

Keywords:method of synthesis of regulators, control system with distributed parameters, hydrolithospheric processes