Feedback Linearization of Maglev

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badro bouseba
badro bouseba on 29 Jun 2019
Answered: Adam Pilat on 15 Jan 2022
Hello everyone. I have a problem in Matlab Simulink with my nonlinear system of magnetic levitation.
system.png
The nonlinear equations are the following :
represent.png
equart.png
with :
l.png
and I want to control this system using Feedback Linearization. I have done all the mathematical stuff but when i simulate the system , this error occurs :
Derivative of state xxx in block xxxx Integrator at time xxxx is not finite. The simulation will be stopped. There may be a singularity in the solution ....
This is the transformation matrix :
tras.png
tras.png
and finally :
key.png
Reference : 2013 3rd IEEE International Conference on Computer, Control & Communication (IC4), NUST-PNEC, Karachi
Muhammad Ahsan - Nouman Masood Fawad Wali : Control of magnetic levitation system using nonlinear robust design tools
Those are my m and slx files :
I have been trying to solve the problem for a month but without results . Please help me in this case
Thank you

Answers (2)

ACHKHE
ACHKHE on 19 Dec 2021
Edited: ACHKHE on 19 Dec 2021
hi,Try to change the solver
or minimize the duration of simulation
or use a saturator with your input 'u'
those are the possible solutions for your problem
Good luck

Adam Pilat
Adam Pilat on 15 Jan 2022
https://home.agh.edu.pl/~ap/publications/PhD/PilatAdam_SterowanieUkladamiMagnetycznejLewitacji.pdf

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