Abstract:
For the linear multivariable plants whose physical parameters are subject to deviations from the rated values, the measurable output-based controllers were designed providing the given degree of stability of the closed-loop system which defines the desired time of control. This approach relies on the “technique of opening the plant-controller system” for the investigated physical parameters and comes to a standard problem of $H_\infty$-optimization. An example was presented.
Citation:
V. N. Chestnov, “Design of robust $H_\infty$-controllers of multivariable systems based on the given stability degree”, Avtomat. i Telemekh., 2007, no. 3, 199–205; Autom. Remote Control, 68:3 (2007), 557–563
\Bibitem{Che07}
\by V.~N.~Chestnov
\paper Design of robust $H_\infty$-controllers of multivariable systems based on the given stability degree
\jour Avtomat. i Telemekh.
\yr 2007
\issue 3
\pages 199--205
\mathnet{http://mi.mathnet.ru/at963}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304820}
\zmath{https://zbmath.org/?q=an:1126.93333}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 3
\pages 557--563
\crossref{https://doi.org/10.1134/S0005117907030150}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947602145}
Linking options:
https://www.mathnet.ru/eng/at963
https://www.mathnet.ru/eng/at/y2007/i3/p199
This publication is cited in the following 15 articles:
V. A. Alexandrov, “Pole placement optimization for SISO control system”, Autom. Remote Control, 82:6 (2021), 1013–1029
Alexandrov V.A. Chestnov V.N. Shatov V D., “Stability Margins For Minimum-Phase Siso Plants: a Case Study”, 2020 European Control Conference (Ecc 2020), IEEE, 2020, 2068–2073
V. N. Chestnov, V. A. Alexandrov, I. G. Rezkov, “Synthesis of Discrete Modal SISO Controllers by Engineering Performance Indices”, Autom Remote Control, 81:6 (2020), 1107
V. N. Chestnov, D. V. Shatov, “Design of Given Oscillation Index Scalar Controllers: Modal and H∞-Approaches”, Autom Remote Control, 81:6 (2020), 1125
V. N. Chestnov, “Synthesis of multivariable systems according to engineering quality criteria based on $H_\infty$-optimization”, Autom. Remote Control, 80:10 (2019), 1861–1877
V. N. Chestnov, D. V. Shatov, “Design of given oscillation index scalar controllers: modal and $H_\infty$-approaches”, Automation and Remote Control, 81:3 (2020), 517–527
V. N. Chestnov, V. A. Aleksandrov, I. G. Rezkov, “Sintez odnomernykh diskretnykh regulyatorov po inzhenernym kriteriyam kachestva na osnove modalnogo upravleniya”, Probl. upravl., 6 (2019), 11–21
Chestnov V.N., Shatov V D., “Design of H-Infinity Discrete-Time Controllers For Multivariable Systems Via Given Engineering Performance Indices”, 2019 23Rd International Conference on System Theory, Control and Computing (Icstcc), International Conference on System Theory Control and Computing, ed. Precup R., IEEE, 2019, 424–429
Chestnov V.N. Alexandrov V.A. Rezkov I.G., “Discrete-Time Control Based on Pole Placement By Engineering Performance Indices For Siso Systems”, 2019 27Th Mediterranean Conference on Control and Automation (Med), Mediterranean Conference on Control and Automation, IEEE, 2019, 362–367
Vladimir N. Chestnov, Dmitrii V. Shatov, 2019 23rd International Conference on System Theory, Control and Computing (ICSTCC), 2019, 424
V.N. Chestnov, V.A. Alexandrov, I.G. Rezkov, 2019 27th Mediterranean Conference on Control and Automation (MED), 2019, 362
O. S. Kozlov, L. M. Skvortsov, “Synthesis of simple robust controllers”, Autom. Remote Control, 76:9 (2015), 1598–1607
V. N. Chestnov, “Synthesis of discrete $H_\infty$-controllers with given stability margin radius and settling time”, Autom. Remote Control, 75:9 (2014), 1593–1607
V. N. Chestnov, “Synthesizing $H_\infty$-controllers for multidimensional systems with given accuracy and degree of stability”, Autom. Remote Control, 72:10 (2011), 2161–2175
Zh. V. Zatsepilova, V. N. Chestnov, “Design of prescribed-precision controllers of multivariable systems by root-mean-square criterion on the basis of $LQ$-optimization procedures”, Autom. Remote Control, 72:11 (2011), 2285–2299