Abstract:
Consideration was given to the design of a unique controller with state feedback stabilizing the finite family of linear dynamic plants of identical orders. It was proposed to use for that the variable-structure controllers giving rise to sliding modes in the closed-loop systems. Constructive existence conditions for a universal variable-structure stabilizer of the given finite family of dynamic plants were formulated.
Citation:
S. V. Emel'yanov, V. V. Fomichev, A. S. Fursov, “Simultaneous stabilization of linear dynamic plants by the variable-structure controller”, Avtomat. i Telemekh., 2012, no. 7, 15–24; Autom. Remote Control, 73:7 (2012), 1126–1133
\Bibitem{EmeFomFur12}
\by S.~V.~Emel'yanov, V.~V.~Fomichev, A.~S.~Fursov
\paper Simultaneous stabilization of linear dynamic plants by the variable-structure controller
\jour Avtomat. i Telemekh.
\yr 2012
\issue 7
\pages 15--24
\mathnet{http://mi.mathnet.ru/at4035}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 7
\pages 1126--1133
\crossref{https://doi.org/10.1134/S0005117912070028}
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Linking options:
https://www.mathnet.ru/eng/at4035
https://www.mathnet.ru/eng/at/y2012/i7/p15
This publication is cited in the following 16 articles:
A. V. Il'in, Yu. M. Mosolova, V. V. Fomichev, A. S. Fursov, “On the Problem of Switched System Stabilization”, MoscowUniv.Comput.Math.Cybern., 48:4 (2024), 303
Dmitry Makarov, Vladimir Sobolev, 2021 14th International Conference Management of large-scale system development (MLSD), 2021, 1
Dastaviz A., Binazadeh T., “Simultaneous Stabilization For a Collection of Uncertain Time-Delay Systems Using Sliding-Mode Output Feedback Control”, Int. J. Control, 93:9 (2020), 2135–2144
Dastaviz A., Binazadeh T., “Simultaneous Stabilization of a Collection of Uncertain Discrete-Time Systems With Time-Varying State-Delay Via Discrete-Time Sliding Mode Control”, J. Vib. Control, 25:16 (2019), 2261–2273
V. E. Khartovskii, “Criteria for modal controllability of completely regular differential-algebraic systems with aftereffect”, Differ. Equ., 54:4 (2018), 509–524
Fursov A.S., Emel'yanov S.V., Kapalin I.V., Sagadinova E.S., “Stabilization of Multiple-Input Switched Linear Systems With Operation Modes of Different Dynamical Orders”, Differ. Equ., 54:11 (2018), 1517–1523
V. E. Khartovskii, “Modal controllability for systems of neutral type in classes of differential-difference controllers”, Autom. Remote Control, 78:11 (2017), 1941–1954
A. S. Fursov, I. V. Kapalin, H. Hongxiang, “Stabilization of multiple-input switched linear systems by a variable-structure controller”, Differ. Equ., 53:11 (2017), 1501–1511
A. V. Metel'skii, V. E. Khartovskii, “Criteria for modal controllability of linear systems of neutral type”, Differ. Equ., 52:11 (2016), 1453–1468
A. S. Fursov, I. V. Kapalin, “Stabilization of switched linear systems by a controller of variable structure”, Differ. Equ., 52:8 (2016), 1072–1084
A. S. Fursov, E. F. Khusainov, “On the stabilization of switchable linear systems”, Differ. Equ., 51:11 (2015), 1518–1528
A. S. Fursov, E. F. Khusainov, “Superstabilization of linear dynamic plants under operator disturbances”, Differ. Equ., 50:7 (2014), 854–865
S. V. Emel'yanov, A. V. Il'in, V. V. Fomichev, A. S. Fursov, “Simultaneous stabilization of plants of various orders”, Differ. Equ., 49:5 (2013), 623–629
S. I. Minyaev, A. S. Fursov, “Topological approach to the simultaneous stabilization of plants with delay”, Differ. Equ., 49:11 (2013), 1423–1431
Stanislav V. Emelyanov, V.V. Fomichev, A.S. Fursov, “The Control Under Uncertainty Conditions: History and Perspective”, IFAC Proceedings Volumes, 46:9 (2013), 7