Construction of robustly stable interval polynomial

Abstract

The paper presents an original algorithm to determine the intervals of characteristic polynomial coefficients, which ensure its robust stability. 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. Performance of the algorithm was tested by construction of localization regions of the roots of the interval polynomial upon the determined intervals of the controller parameters.

Original language	English
Title of host publication	Mechatronics Engineering and Electrical Engineering - Proceedings of the 2014 International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014
Publisher	CRC Press/Balkema
Pages	369-372
Number of pages	4
ISBN (Print)	9781138027190
Publication status	Published - 2015
Event	International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014 - Sanya, Hainan, China Duration: 17 Oct 2014 → 19 Oct 2014

Other

Other	International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014
Country	China
City	Sanya, Hainan
Period	17.10.14 → 19.10.14

Keywords

Coefficient parameters of quality
Interval characteristic polynomial
Interval-parametric synthesis
Robust controller

ASJC Scopus subject areas

Engineering(all)

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Construction of robustly stable interval polynomial. / Ezangina, Tatiana Alexandrovna; Gayvoronskiy, S. A.; Efimov, S. V.

Mechatronics Engineering and Electrical Engineering - Proceedings of the 2014 International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014. CRC Press/Balkema, 2015. p. 369-372.

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

Ezangina, TA, Gayvoronskiy, SA & Efimov, SV 2015, Construction of robustly stable interval polynomial. in Mechatronics Engineering and Electrical Engineering - Proceedings of the 2014 International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014. CRC Press/Balkema, pp. 369-372, International Conference on Mechatronics Engineering and Electrical Engineering, CMEEE 2014, Sanya, Hainan, China, 17.10.14.

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AB - The paper presents an original algorithm to determine the intervals of characteristic polynomial coefficients, which ensure its robust stability. 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. Performance of the algorithm was tested by construction of localization regions of the roots of the interval polynomial upon the determined intervals of the controller parameters.

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KW - Interval characteristic polynomial

KW - Interval-parametric synthesis

KW - Robust controller

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