Stability Evaluation Based on the Sustainability Triangle Application for Transfer Functions above 2nd Order
Hanna Ukhina, Valerii Sytnikov, Oleg Streltsov, Pavel Stupen, Dmitrii Yakovlev · Proceedings of the 3rd International Conference on Computer Science and Application Engineering · 2019
This research has been devoted to studying the transfer function of a digital radioelectronic devices system above the second order. The research goal was to simplify the process of system stability assessment as to digital radioelectronic devices above second order system, using the stability triangle and inequations representing the transfer functions coefficients' acceptable values. The study task was to render more easy the digital radioelectronic devices system stability assessment; to investigate the characteristic equation and to determine limiting inequations. Methods used: the Jury stability criterion, the analytical method for stability determining when graphical representation used on the stability triangle basis, the characteristic equation analytical solution, and mathematic modeling. The following results have been obtained: the maximum permissible coefficient values are found, as well as limiting inequations for the transfer function coefficients. Found are the correlation coefficients between the easily determined maximum theoretical values of these coefficients and their practical values, the correction coefficients' functional dependences being obtained.