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

#### Esmat Bekir [1]

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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.

Gain margin, phase margin, control system stability, discrete time system, Chebyshev polynomials
• 1. Ogata K, Modern Control Engineering, Prentice Hall, Englewood Cliffs, NJ, 1970.
 Bibtex @araştırma makalesi { uujes457599, journal = {Usak University Journal of Engineering Sciences}, issn = {}, eissn = {2651-3447}, address = {Uşak Üniversitesi}, year = {2018}, volume = {1}, pages = {47 - 55}, doi = {}, title = {ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM}, key = {cite}, author = {Bekir, Esmat} } APA Bekir, E . (2018). ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM. Usak University Journal of Engineering Sciences, 1 (2), 47-55. Retrieved from http://dergipark.gov.tr/uujes/issue/41590/457599 MLA Bekir, E . "ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM". Usak University Journal of Engineering Sciences 1 (2018): 47-55 Chicago Bekir, E . "ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM". Usak University Journal of Engineering Sciences 1 (2018): 47-55 RIS TY - JOUR T1 - ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM AU - Esmat Bekir Y1 - 2018 PY - 2018 N1 - DO - T2 - Usak University Journal of Engineering Sciences JF - Journal JO - JOR SP - 47 EP - 55 VL - 1 IS - 2 SN - -2651-3447 M3 - UR - Y2 - 2018 ER - EndNote %0 Usak University Journal of Engineering Sciences ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM %A Esmat Bekir %T ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM %D 2018 %J Usak University Journal of Engineering Sciences %P -2651-3447 %V 1 %N 2 %R %U ISNAD Bekir, Esmat . "ANALYTICAL ALGORITHM FOR COMPUTING GAIN AND PHASE MARGINS FOR DISCRETE TIME SYSTEM". Usak University Journal of Engineering Sciences 1 / 2 (Aralık 2018): 47-55.