MAGLEV

Model description: 

The model of the MAGLEV system is unstable and nonlinear

$$ m\ddot{x}=mg-\dfrac{K_{c}V^{2}}{x^{2}}, $$

where $x$ is the metal ball position being the system output, $V$ is the system input as the voltage. Other parameters are $m$ as the mass of the metal ball, $K_c$ as constant for magnet circuit, and $g$ is the gravitational acceleration of 9.8 m/s$^2$. A free-body diagram is shown also in the attached image.

Type: 

Form: 

Model order: 

2

Time domain: 

Linearity: 

Attachment: 

Publication details: 

TitleIdentification of a class of unstable processes
Publication TypeConference Paper
AuthorsShahab, M., and Doraiswami R.