Application of the zero-order numerical method in the problems of parametric optimization in digital PID-regulators of drones

Authors

DOI:

https://doi.org/10.20535/mmtu-2019.2-051

Keywords:

Numerical methods, Parametric optimization, Ziegler–Nichols method, Digital PID controller, Mathematical modeling

Abstract

The article presents the methodology, which consists in the complex application of the Ziegler–Nichols method and zero order numerical methods. The Ziegler–Nichols method allows us to obtain initial conditions which ensure a rapid approximation to the optimum point with the further application of zero-order numerical methods. The calculations confirmed the high efficiency of the proposed method in the same way as using only the Ziegler-Nichols method. In the example, the performance indicator (criterion), which was used to evaluate the quality of the setup, improved by almost 14 times.

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Issue

Section

Application of mathematics in related sciences