Argument principle based stability conditions of a retarded quasipolynomial with two delays

Authors:
Libor Pekař;Roman Prokop
Affiliations:
Department of Automation and Control, Tomas Bata University in Zlín, Zlín, Czech Republic;Department of Automation and Control, Tomas Bata University in Zlín, Zlín, Czech Republic
Venue:
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
Year:
2010

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Abstract

In the presented paper, we address a problem of the appropriate setting of a parameter in a selected quasipolynomial with two delay elements in order to ensure that all its zeros are located in the open left-half complex plane. The quasipolynomial can represent the dynamics of a system with internal delays and thus it can decide about system stability. In contrast to many other analyses, a non-delay real parameter is being to set. The argument principle (Mikhaylov criterion) is utilized for this purpose. Stability bounds for the parameter are found through proven lemmas, propositions and theorems.