Synthesis of Electromechanical Automatic Control Systems using an Analytical Approximation of Nonlinear Component Characteristics
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Abstract
Purpose: There has been considered a solution of the problem of electromechanical automatic control systems synthesis by analytical approximation of nonlinear component characteristics. The mathematical apparatus applied for the problem solving is represented by a conversion of a direct variation analytical method – the extended Galerkin technique. Results: There have been obtained recurrent analytical “input/output” relations defining Galerkin integrals for analytically
approximated nonlinear characteristics in case of exponential processes at their inputs. Application of the relations has provided complete algebraization of a solution of the problem
of continuous automatic control systems synthesis using the given type of the approximation of nonlinear characteristics. Practical relevance: The generalized Galerkin technique has been extended to a new class of control objects with analytically approximated nonlinear characteristics. There have been demonstrated the benefits of the technique of nonlinearities approximation for both electromechanical and electric power devices excluding the necessity to define switch points of nonlinear characteristics during the algorithm operation.
