2-car train system on inclined plane

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Michael Kruger

I have to model a system that is very similar to that shown in the attached image. Without the inclination I know my state variables are Delta, v_1 and v_2 (I know it can also be others), and I know I want to model the inclination angle Theta as a disturbance. What should the state equations look like?

https://www.dropbox.com/s/j9se6p8tdwlt2z1/new_system.png
 
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