A method for the quasi-optimal synthesis of a multi-mode synchronization system based on the maximum condition of the generalized power function has been developed. The effectiveness of its operation in capture mode is demonstrated on the basis of mathematical modeling. The results showed high resistance to disturbances and a decrease in the synchronization error of the multimode system in the steady state.

Keywords: phase locked loop, combined maximum principle, multi-mode control

A method for the intellectualization of measurement procedures has been developed. It is based on the step-by-step optimization procedure, which provides a reduction of the stochastic estimation problem to a number of deterministic problems. The task of the first stage of optimization is the synthesis of an adaptive mathematical model of the measuring process based on the combined principle of maximum, which, unlike the known methods, will ensure the constructiveness of its use in the next stages of optimization. The task of the subsequent stages of optimization is to solve the estimation problem based on the regularization method A.N. Tikhonov. Equations of an iterative measurement procedure are obtained that differ from the state transition vector functions known in structure. It belongs to the category of intelligent measuring procedures, since it makes a targeted choice of the closest to the true value of the assessment of the measured parameter in the conditions of structural uncertainty of the model of the studied object and parametric uncertainty of the observation model.

Keywords: two-stage synthesis, intellectualization, the combined principle of maximum, regularization