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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 4, Pages 720–728
DOI: https://doi.org/10.21638/spbu01.2022.413 (Mi vspua65) 		 
MECHANICS

Control damping for elastic vibrations of a distributed system with the sensor - actuator overcharge

V. A. Polyanskiya, N. A. Smirnovab

a Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences, 61, Bolshoy pr. V. O., St Petersburg, 199178, Russian Federation
b Peter the Great St Petersburg Polytechnic University, 29, ul. Polytechnicheskaya, St Petersburg, 195251, Russian Federation
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DOI: https://doi.org/10.21638/spbu01.2022.413
Abstract: This project develops the modal control system for vibration damping of an elastic object with distributed parameters. Non-controllable upper modes excitement sets a limit on control efficiency of individual lowest elastic mode damping. The study tests the control operability in relation to the changing sensor - actuator number while the feedback loops remains the same. Simulation results show spillover effect degradation in case the sensor - actuator overcharge. Control algorithm includes of identification procedure instead of de signing with the object model assistance. The present procedure puts the modal matrices to separate the inherent object modes from the sensor signals and to suppress the modes using the actuators.
Keywords: elastic distributed system, modal control, piezoelectric transducer, identification.
Received: 06.05.2022
Revised: 01.06.2022
Accepted: 09.06.2022
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 4, Pages 482–488
DOI: https://doi.org/10.1134/S1063454122040148
Bibliographic databases:
Document Type: Article
UDC: 531.39
MSC: 70Q05
Language: Russian
Citation: V. A. Polyanskiy, N. A. Smirnova, “Control damping for elastic vibrations of a distributed system with the sensor - actuator overcharge”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:4 (2022), 720–728; Vestn. St. Petersbg. Univ., Math., 9:4 (2022), 482–488
Citation in format AMSBIB
\Bibitem{PolSmi22}
\by V.~A.~Polyanskiy, N.~A.~Smirnova
\paper Control damping for elastic vibrations of a distributed system with the sensor - actuator overcharge
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 4
\pages 720--728
\mathnet{http://mi.mathnet.ru/vspua65}
\crossref{https://doi.org/10.21638/spbu01.2022.413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4373184}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 4
\pages 482--488
\crossref{https://doi.org/10.1134/S1063454122040148}
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