General Scheme for Solving the Problem of Synthesis of Nonlinear Non - Stationary Automatic Control Systems in the Time Domain

Abstract

The paper considers a general scheme of solving the problem of synthesis of continuous non-stationary automatic control systems (ACS). The generalized Galerkin method extended to a new class of systems is used as the mathematical apparatus for solving the problem. The peculiarity of availability in the considered systems of time dependence of parameters of the unchangeable part of the system by means of certain algorithms of synthesis of the ACS regulator has been taken into account. The peculiarity of the proposed algorithm for the synthesis of the regulator for the nonlinear non-stationary automatic control systems is either a preliminary estimate of the stability of the parameters of the invariable part of the system within the desirable values or accounting for the law of changes of the parameters of the invariable part of the system in the case when the quality indicators leave the desirable limits of values. As an example of application of the proposed approach for assessing the effect of non-stationarity, synthesis of the correcting device of the training-laboratory complex “potentiometric low-power tracking system” is proposed for implementation within the framework of practice-oriented training of students of the department of control in technical systems. In the example under consideration the experimental characteristics are given for estimation of influence on the control system of non-stationarity, caused by operational heating of electronic components of the laboratory complex in the course of work.