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

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

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

Fingerprint

Interval Systems
Pole
Poles
Control System
Roots
Control systems
Quality Control
Polytope
Quality control
Polynomials
Root loci
Characteristic polynomial
Argand diagram
Locus
Partition
Controller
Controllers
Interval
Polynomial
Coefficient

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

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

Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices. / Gayvoronskiy, Sergey An; Ezangina, Tatiana; Khozhaev, Ivan.

Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8867591 (Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019).

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

Gayvoronskiy, SA, 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., 2019 International Russian Automation Conference, RusAutoCon 2019, Sochi, Russian Federation, 8.9.19. https://doi.org/10.1109/RUSAUTOCON.2019.8867591
Gayvoronskiy SA, Ezangina T, Khozhaev I. Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices. In Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8867591. (Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019). https://doi.org/10.1109/RUSAUTOCON.2019.8867591
Gayvoronskiy, Sergey An ; Ezangina, Tatiana ; Khozhaev, Ivan. / Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices. Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019).
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