The Lepschy stability test and its application to fractional-order systems

• Autorzy: Casagrande Daniele , Krajewski Wiesław , Viaro Umberto

Identyfikatory

DOI

10.24425/acs.2021.136884

• Języki publikacji: EN

Abstrakty

EN

It is shown how a stability test, alternative to the classical Routh test, can profitably be applied to check the presence of polynomial roots inside half-planes or even sectors of the complex plane. This result is obtained by exploiting the peculiar symmetries of the root locus in which the basic recursion of the test can be embedded. As is expected, the suggested approach proves useful for testing the stability of fractional-order systems. A pair of examples show how the method operates. It is believed that the suggested geometric approach can also be of some didactic value in introducing basic control-system tools to engineering students.

Słowa kluczowe

EN

fractional-order systems; D-stability; recursive algorithms; complex polynomials; root locus; symmetries; control-theory didactics

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 1
• Strony: 145--163
• Opis fizyczny: Bibliogr. 42 poz., rys., wykr,

Twórcy

autor

Casagrande Daniele

• Polytechnic Department of Engineering and Architecture, University of Udine, via delle Scienze 206, 33100 Udine, Italy

autor

Krajewski Wiesław

• Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland

autor

Viaro Umberto

• Polytechnic Department of Engineering and Architecture, University of Udine, via delle Scienze 206, 33100 Udine, Italy

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).