Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters

Research output: Contribution to journalConference article


The paper is dedicated to extending a root locus theory to systems with interval parameters, which are described with a characteristic polynomial with interval coefficients. On a basis of angular equation of a root locus a set of interval inequalities, including departure angles of root locus edge branches, determining oscillability degree of a control system, was derived. Solving the system of inequalities for low-order control systems resulted in a set of vertices of a characteristic polynomial coefficients polytope, projections of which on a complex plane determine an oscillability of such systems. Examples of application are provided.

Original languageEnglish
Article number012013
JournalIOP Conference Series: Materials Science and Engineering
Issue number1
Publication statusPublished - 9 Dec 2019
Event2019 8th International Conference on Mechatronics and Control Engineering, ICMCE 2019 - Paris, France
Duration: 23 Jul 201925 Jul 2019


ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

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