TY - GEN
T1 - Placing Poles Allocation Areas of Interval Control System with Desired Root Quality Indices
AU - Gayvoronskiy, Sergey An
AU - Ezangina, Tatiana
AU - Khozhaev, Ivan
PY - 2019/9
Y1 - 2019/9
N2 - 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.
AB - 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.
KW - dominant poles
KW - interval root locus
KW - interval systems
KW - unrestricted poles
UR - http://www.scopus.com/inward/record.url?scp=85074234673&partnerID=8YFLogxK
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U2 - 10.1109/RUSAUTOCON.2019.8867591
DO - 10.1109/RUSAUTOCON.2019.8867591
M3 - Conference contribution
AN - SCOPUS:85074234673
T3 - Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019
BT - Proceedings - 2019 International Russian Automation Conference, RusAutoCon 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2019 International Russian Automation Conference, RusAutoCon 2019
Y2 - 8 September 2019 through 14 September 2019
ER -