naa a22 4500 510809626 CHVBK 20180411083436.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1134/S1064230713010061 doi (NATIONALLICENCE)springer-10.1134/S1064230713010061 Control for minimizing vibrations in systems with compliant elements [Elektronische Daten] [L. Gannel, A. Formal'skii] A controlled mechanical system containing a compliant element is investigated. Such an element can be, for example, a compliant platform where the operated object (plant) is installed or an elastic gear that connects an engine with this movable object. The control (force or torque) is bounded in magnitude. Only the first (lowest) resonance frequency is taken into account. The system under examination has two degrees of freedom. The linear mathematical model of this system has a double zero eigenvalue and two complex eigenvalues. A control law for this system is designed that steers the plant from the given initial state to a given terminal state in finite time (assuming that there is no damping). The control is divided into intervals on which it varies linearly depending on time or is constant. The time intervals on which the control varies are equal to the period of the natural vibrations of the system. If there is no damping, this makes it possible to completely avoid vibrations on the time intervals where the control is constant. Pleiades Publishing, Ltd., 2013 Gannel L. Anorad (Rockwell Automation), Tel-Aviv, Israel aut Formal'skii A. Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia aut Journal of Computer and Systems Sciences International SP MAIK Nauka/Interperiodica 52/1(2013-01-01), 117-128 1064-2307 52:1<117 2013 52 11488 https://doi.org/10.1134/S1064230713010061 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1064230713010061 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gannel L. Anorad (Rockwell Automation), Tel-Aviv, Israel aut NATIONALLICENCE 700 1- Formal'skii A. Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Computer and Systems Sciences International SP MAIK Nauka/Interperiodica 52/1(2013-01-01), 117-128 1064-2307 52:1<117 2013 52 11488 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer