# 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.

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## Publication details:

 Title Identification of a class of unstable processes Publication Type Conference Paper Authors Shahab, M., and Doraiswami R.