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TY - CONF AU - Aleksandrov, A.Yu. AU - Kosov, A.A. AU - Zhabko, A.P. AU - Zhabko, I.A. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - Stabilization of the Equilibrium Position of a Magnetic Control System with Delay J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - Nonlinear oscillatory systems are widely applied for the modeling of charge particles motions in cyclotrons in neighborhoods of equilibrium orbits. They are also used for the analysis and synthesis of magnetic control devices. An actual problem for such systems is stabilization of their operating modes. In this report, analytical and numerical investigations of stability of the equilibrium position for a nonlinear oscillatory system are presented. The system can be treated as a mathematical model of magnetic suspension control system of a gyro rotor. A delay in the feedback control scheme and dissipative forces occurring due to energy losses at the interaction of the magnetic field with currents in the control loops are taken into account. Two approaches to the synthesis of stabilizing controls are proposed. The first one is based on the using of gyroscopic control forces. It is applicable in the case of essentially nonlinear homogeneous dissipative forces. The second approach is efficient for systems with linear dissipative forces. For this case, potential control forces are constructed. With the aid of a computer simulation of dynamics of closed-loop systems, a comparison of these approaches is fulfilled, and their features and conditions of applicability are determined. PB - JACoW CP - Geneva, Switzerland SP - 736 EP - 738 KW - controls KW - feedback KW - simulation KW - electron KW - permanent-magnet DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-THPSC087 UR - http://jacow.org/rupac2016/papers/thpsc087.pdf ER -