Identification of Nonlinear Objects of Management on the Basis of Critical Phenomena Theory

Abstract

The variety and heterogeneity of the specific features of industrial objects needs the solution of some actual problems of iden-tification: qualitative and quantitative systematization of its elements, formation of optimum adaptive systems of management with an identificator, elaboration of methods of identification for the condi-tions when measurement of variables and data excerption and a prion information on signals, hindrances and parameters are limited. The study gives the theoretical basis and practical solution of the problem of identification in nonlinear objects of management according to the three main principles of physics: the principles of symmetry, the variation principle and laws of conservation. The research of identification is based on the critical phenomena (catastrophe theory, Hopf’s bifurcation, renormalization groups theory).