A numerical synthesis method of continuous control systems having few internal loops is proposed. Every loop may contain the correcting devices both in the direct channel and in the feedback circuit. The basis of the method is a real integral transform allowing writing the synthesis equation in the image domain in such a way that it contains the functions of real argument only. The interpolation approach provides the development of synthesis equations for the unknown coefficients of correcting device transfer functions. The system solution by Newton's method is found.
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