### Polynomial approach to control system design for a magnetic levitation system

**F. Gazdos, P. Dostal, R. Pelikan**

#### Abstract

The contribution deals with the problem of designing a control system for a magnetic levitation apparatus. The proposed procedure uses a polynomial approach for control system design with control structure having two feedback controllers. In the paper, necessary conditions for control system stability, reference tracking and load disturbance attenuation are derived together with a methodology for optimal setting of the controllersâ€™ parameters. Although the system is unstable and nonlinear in nature, it is shown that it is not problematic to control it by means of linear controllers with parameters set in a robust way.

#### Keywords

Algebraic approaches, Polynomial methods, Model-based control, Magnetic levitation system, CE 152, Robust control

Full paper 2009-12-23

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