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Algebraic synthesis of a control system by magnetic suspention
Engineering Bulletin # 04, April 2014
УДК: 621.313
For a choice of parameters of a control system the original version of a root method of synthesis is used. The universal scheme of the correcting filter possessing differentiating properties, constructed on integrators is offered. At a known order of object the order of the correcting filter is chosen whereupon the desirable type of the characteristic equation of the closed system (desirable roots) is set. Further filter parameters which provide a desirable arrangement of roots are unambiguously calculated. The method is applied to system of control on current and on tension synthesis. Transfer functions under the provision of an anchor and operating parameters are received, transients are constructed. Comparison of ways of management is made.
Identification of linear dynamic elements using a frequency locus
Engineering Education # 09, September 2013
DOI: 10.7463/0913.0618917
This article deals with the identification method for a linear dynamic element with known transfer function using an experimental frequency locus with random measurement errors. A transfer function of an element was selected as a model. It was proposed to search for the solution to the identification problem in the class of hodographs, defined by the element’s model. Search for unknown coefficients of a transfer function of the element’s model was carried out by minimizing the proposed proximity measure of the experimental element’s locus and the model’s locus. As a result, the specified problem was reduced to a system of linear equations. An illustrative computing experiment for a second-order element showed that an error of the transfer function’s coefficients was comparable with the range of measurement errors of experimental samples of this element’s locus.
77-30569/308995 Сonvergence acceleration of iterative solutions of SLAE by means of neutralization of big characteristic values in the transfer matrix
Engineering Education # 02, February 2012
The authors propose a method of convergence acceleration for iterative solutions of SLAE from electrical network modeling systems. This method was based on the neutralization of the transfer matrix dominant characteristic values. By the example of AC electrical networks’ computation defined with matrices with complex numbers the dependence of iteration number of Gauss-Seidel method on the number of neutralized roots was shown. The calculated data corresponded well to theoretical convergence estimate obtained from the characteristic equation roots. The ability of additional convergence acceleration by means of root neutralization was shown in the successive over-relaxation method.
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