Structural Parametric Identification of Linear Dynamic Objects

Abstract

The problem of structural-parametric identification of linear stationary dynamic objects under conditions of active experiments is considered. The question of the adequacy of dynamic models based on the analysis of the object’s response to a typical test impact is investigated. These studies allow us to formulate an important methodological aspect that is recommended to be taken into account in new developments of active identification algorithms. In this paper it is shown that in real conditions of interference, the classical methodology of constructing the transfer function of an object by means of the analysis of data single experiment, i.e. the response to a test effect can give incorrect results. In this regard, another approach is proposed — to form the base of the experimental data starting from a series of identification experiments, and because of its to investigate the dynamic structure of free and forced movements of the object. The ideological basis of this approach consists of the following solutions: the principle of " probing" the space of states of an object in order to determine its dynamic order; the mechanism of excitation of free movements in the object by means of finite control actions; the integral-operator form of representation of the dynamics of the object, which avoids the need for differentiation of input and output signals; the apparatus of linear regression for parametric identification of the transfer function of the object. One the base the given approach a new method of structural-parametric identification of linear stationary dynamic objects is developed and investigated. The presented results and computer approbation in the MATLAB environment have shown the operability and effectiveness of this identification method.