Dynamics of a Ferromagnetic Suspension System

Author

Hebbale, K.V. ; Taylor, D.L.

Author_Institution

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853; Sr. Research Engineer, Power Systems Research Department, GM Research Laboartories, Warren, MI 48090.

fYear

1986

fDate

18-20 June 1986

Firstpage

217

Lastpage

223

Abstract

A theoretical model for the study of nonlinear dynamics of a ferromagnetic suspension system is presented. The system analyzed consists of a single electromagnet, a suspended mass, and a control system to maintain the mass in a levitated position. The system, studied as a paradigm for a rotational magnetic bearing, can be described by a set of three first-order nonlinear ordinary differential equations. First, the well-known, open-loop instability is confirmed and then, it is shown that the closed-loop suspension system with a full-state feedback controller possesses interesting properties. In particular, it is shown that the system cannot be stable without velocity feedback and that the controller introduces an additional equilibrium point in the state space which is unstable.

Keywords

Control systems; Differential equations; Electromagnetic analysis; Electromagnets; Magnetic analysis; Magnetic levitation; Nonlinear dynamical systems; Open loop systems; State feedback; Weight control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1986

Conference_Location

Seattle, WA, USA

Type

conf

Filename

4788939