Construction of interval polynomial ensure the specified degree of robust stability

Abstract

The paper presents an original algorithm to determine the intervals of characteristic polynomial coefficients, which ensure that the polynomial roots are located leftward to the vertical line, which specifies the robust stability degree. This algorithm is built in conditions that provide linking indexes of stability and oscillation with interval coefficients of the characteristic polynomial. The paper reviews application of the algorithm for determination of the interval settings in a robust PID-controller. The efficiency of the algorithm was tested by construction of localization regions of roots of the synthesized interval polynomial.

Original language	English
Title of host publication	CACS 2014 - 2014 International Automatic Control Conference, Conference Digest
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	292-295
Number of pages	4
ISBN (Print)	9781479945849
DOIs	https://doi.org/10.1109/CACS.2014.7097204
Publication status	Published - 28 Apr 2014
Event	2014 International Automatic Control Conference, CACS 2014 - Kaohsiung, Taiwan, Province of China Duration: 26 Nov 2014 → 28 Nov 2014

Other

Other	2014 International Automatic Control Conference, CACS 2014
Country	Taiwan, Province of China
City	Kaohsiung
Period	26.11.14 → 28.11.14

Keywords

coefficient parameters of quality
degree of robust stability
interval characteristic polynomial
interval-parametric synthesis
robust controller

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/CACS.2014.7097204

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Ezangina, T. A., Gayvoronskiy, S., & Efimov, S. (2014). Construction of interval polynomial ensure the specified degree of robust stability. In CACS 2014 - 2014 International Automatic Control Conference, Conference Digest (pp. 292-295). [7097204] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CACS.2014.7097204

Construction of interval polynomial ensure the specified degree of robust stability. / Ezangina, Tatiana Alexandrovna; Gayvoronskiy, Sergey; Efimov, Semen.

CACS 2014 - 2014 International Automatic Control Conference, Conference Digest. Institute of Electrical and Electronics Engineers Inc., 2014. p. 292-295 7097204.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ezangina, TA, Gayvoronskiy, S & Efimov, S 2014, Construction of interval polynomial ensure the specified degree of robust stability. in CACS 2014 - 2014 International Automatic Control Conference, Conference Digest., 7097204, Institute of Electrical and Electronics Engineers Inc., pp. 292-295, 2014 International Automatic Control Conference, CACS 2014, Kaohsiung, Taiwan, Province of China, 26.11.14. https://doi.org/10.1109/CACS.2014.7097204

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