Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The paper is dedicated to the problem of placing roots of interval system characteristic polynomial the coefficients of which are included in a parametric polytope, according to desired control quality. To provide applicable values of stability degree and oscillability degree, a pair of dominant poles is placed in desired areas of a complex plane. Other poles of the system, which are unrestricted poles, are placed in a desired allocation area, the border of which is defined to observe the poles dominance principle. In order to place poles according to desired control quality, a set of parametric polytope's vertices, which determine poles allocation, is found on the basis of angular properties of interval root locus. The parameters of a controller providing desired allocation of dominant and unrestricted poles are found with the help of D-partition basing on the previously obtained vertex polynomials.

Original languageEnglish
Title of host publicationProceedings - 2019 International Russian Automation Conference, RusAutoCon 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728102658
DOIs
Publication statusPublished - Sep 2019
Event2019 International Russian Automation Conference, RusAutoCon 2019 - Sochi, Russian Federation
Duration: 8 Sep 201914 Sep 2019

Publication series

NameProceedings - 2019 International Russian Automation Conference, RusAutoCon 2019

Conference

Conference2019 International Russian Automation Conference, RusAutoCon 2019
CountryRussian Federation
CitySochi
Period8.9.1914.9.19

Keywords

  • dominant poles
  • interval root locus
  • interval systems
  • unrestricted poles

ASJC Scopus subject areas

  • Software
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering
  • Safety, Risk, Reliability and Quality
  • Control and Optimization
  • Signal Processing

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  • Cite this

    Gayvoronskiy, S. A., Ezangina, T., & Khozhaev, I. (2019). Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices. In Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019 [8867591] (Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/RUSAUTOCON.2019.8867591