Control system for an object with interval-given parameters: Quality analysis based on leading coefficients of characteristic polynomials

Yury A. Chursin, Dmitry M. Sonkin, Mikhail S. Sukhodoev, Ruslan A. Nurmuhametov, Vsevolod V. Pavlichev

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper presents stability analysis for a class of uncertain nonlinear systems and a method for designing robust control system based on leading coefficients of characteristic polynomials. The problem of determining quality indices of a system, which characteristic polynomials are with interval coefficients, is one of the relevant ones in the robust control theory. This article deals with the interval characteristic polynomial coefficients of a control system. Based on the extended root locus method, we have determined conditions, at which the vertices of a polyhedron of coefficients will be mapped onto root domain. The root analysis carried out by us showed the conditions for achieving the minimum degree of stability of the system under consideration, as well as the maximum degree of oscillation. Thus, the paper describes the design of a method intended for finding the control leading coefficients of polynomials that will allow analyzing the minimum stability degree and the maximum oscillativity degree of control systems for objects with interval-given parameters. A complete solution to a problem of the system control is given. Thus, the stability conditions of the system are described in full.

Original languageEnglish
Pages (from-to)203-207
Number of pages5
JournalInternational Review of Automatic Control
Volume11
Issue number4
DOIs
Publication statusPublished - 2018

Keywords

  • Angle of leaving
  • Characteristic polynomial
  • Interval coefficients
  • Oscillativity degree
  • Parameterized polyhedron vertices
  • Phase equation
  • Root localization
  • Root locus
  • Stability degree

ASJC Scopus subject areas

  • Control and Systems Engineering

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