ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM

Yıl 2018, Cilt: 1 Sayı: 2, 47 - 55, 30.12.2018

Esmat Bekir

Öz

This note describes an algorithm
for computing the gain and phase margins for single input single output
discrete time systems. It converts the complex computations into real
computations. It results into Chebyshev polynomials from which we compute the
desired margins. The algorithm is simple, easy to implement and devoid of
complex computations.

Anahtar Kelimeler

Gain margin, phase margin, control system stability, discrete time system, Chebyshev polynomials

Kaynakça

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• 2. Eriksson L and Koivo H. Tuning of discrete time PID controllers in sensor network based control systems. Proceedings 2005 IEEE International Symposium on Computational Intelligence in Robotic and Automation; CIRA2005; 2005 June 27-30; Finland. Espoo: IEEE; 2005. p. 359-364.
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• 5. Astrom KJ and Murray RM. Feedback systems: an introduction for scientists and engineers. New Jersey: Princeton University Press; 2008.
• 6. Margin. Mathworks [Document on the internet]. Mathworks Documentation; 2018 [cited 2018 September 1]. Available from: https://www.mathworks.com/help /control/ref/margin.html
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