ABSOLUTE STABILITY ANALYSIS METHOD OF THE PROBING SIGNALS GENERATOR OF PHASE-METRIC SYSTEMS OF GEODYNAMIC CONTROL

Phase-metric method of geo electric signals registration allows eliminating multiplicative noise and, accordingly, to increase the accuracy of geo electric control due to the use of phase methods of formation of probing signals. For the reliability of the phase-metric systems of geodynamic control it is necessary to ensure the stability of the signal generators of these systems at the geo-dynamic variations of the object of control and the effects of noise. When registering small geo-dynamic changes, the level of destabilizing effects sometimes exceeds the level of useful signal by 60 dB and more, which determines the need to use nonlinear model of the signal generator. A new method based on the V.M. Popov frequency criterion and the piecewise linear approximation of the hodograph is developed to study the absolute stability of the high-order generator model with an arbitrary value of perturbing effects. On the basis of the developed method, the stability analysis of probing signal formers with different types and orders of filters is performed. Studies had shown a significant difference between the calculated boundary regulation coefficients of the generator in linear and nonlinear regime.