Imaginary-axis crossing points in root loci that depend polynomially on the gain
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Ingeniería de Sistemas y AutomáticaRealizado en/con
Universidad Politécnica de CartagenaFecha de publicación
2021-10-11Editorial
ELSEVIERCita bibliográfica
Juan Ignacio Mulero-Martínez, Imaginary-axis crossing points in root loci that depend polynomially on the gain, Automatica, Volume 134, 2021, 109959, ISSN 0005-1098, https://doi.org/10.1016/j.automatica.2021.109959.Revisión por pares
SIPalabras clave
Crossover frequenciesGain margin
Polynomial root locus
Reflected polynomials
Resumen
This technical note discusses the crossing with the stability boundary for the root loci that polynomially depend on the gain. A simple calculation method based on reflected polynomials is provided. The trend of the roots is also determined, which allows studying the gain margin as well as the minimum gain so that all the roots are within the stable region. Finally, these concepts are illustrated with two case studies.
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