On one method of investigating dynamics of nonlinear electromechanical systems
Abstract
In engineering calculations of dynamics of automatic control systems, the problem of determining the region of permissible parameter changes usually arises. For linear systems it is possible to obtain such a region by repeated machine solution of the system equation of motion or with the help of indirect methods (frequency, integral criteria, etc.). For nonlinear systems, this problem is often reduced to the construction of the region of permissible changes in the forms of nonlinear couplings, so indirect methods are either not applicable at all, or have an algorithm that is too complicated for practical application. The method of multiple partial solutions for nonlinear systems is obviously possible only in a few special cases. A number of similar problems are reduced to the task at hand: determining the influence of neglected couplings and the legitimacy of this or that approximation, estimating the accuracy of the approximate solution of the system's equation of motion, etc.
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References
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