RuPAC2016 - List of Authors (Kosov, A.A.)

Paper	Title	Page
THPSC087	Stabilization of the Equilibrium Position of a Magnetic Control System with Delay	736
	A.Yu. Aleksandrov, A.P. Zhabko, I.A. Zhabko Saint Petersburg State University, Saint Petersburg, Russia A.A. Kosov ISDCT SB RAS, Irkutsk, Russia
	Funding: The research was partially supported by the Saint Petersburg State University (project No. 9.37.157.2014), and by the Russian Foundation for Basic Research (grant Nos. 15-08-06680 and 16-01-00587-a). 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.
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Paper

Title

Page

Stabilization of the Equilibrium Position of a Magnetic Control System with Delay

736

A.Yu. Aleksandrov, A.P. Zhabko, I.A. Zhabko
Saint Petersburg State University, Saint Petersburg, Russia
A.A. Kosov
ISDCT SB RAS, Irkutsk, Russia

Funding: The research was partially supported by the Saint Petersburg State University (project No. 9.37.157.2014), and by the Russian Foundation for Basic Research (grant Nos. 15-08-06680 and 16-01-00587-a).
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.

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