Parametrical synthesis of linear controllers in aperiodical systems on basis of decomposition approach

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2 Citations (Scopus)

Abstract

This article deals with the issue of parametric synthesis of a linear controller that provides aperiodical character of transition processes. The proposed solution addresses a decomposition approach towards the parametric synthesis of linear controllers in aperiodical interval control systems. The approach relies on the division of a characteristic polynomial of a system into the dominating polynomial, provided a dominating real pole, and a free polynomial that defines the rest system poles allocation. In order to allocate the free polynomial roots at a maximum possible distance from an imaginary axis, the sufficient conditions providing a quasi-maximum degree of stability have been set. The decomposition approach in combination with these conditions has allowed developing the methodology on parametric synthesis for linear controllers providing the quasi-maximum degree of the polynomial roots domination. The methodology implementation has been carried out in practice and introduced in this paper with a numerical example.

Original languageEnglish
Pages (from-to)192-199
Number of pages8
JournalInternational Review of Automatic Control
Volume12
Issue number4
DOIs
Publication statusPublished - 2019

Keywords

  • Control system
  • Degree of stability
  • Dominating roots
  • Interval characteristic polynomial
  • Linear controller
  • Parametric synthesis

ASJC Scopus subject areas

  • Control and Systems Engineering

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