Hello everyone
I am using a state space to represent the behavior of a MDOF system. i tried before that to convert a transfer function to a state-space (SDOF) but i could't found the desired state space.
I read some thing about loosing information but it's not clear for me till now.
My questions are:
- is it possible to convert a State-space to a transfer function without loosing information?
-if yes how ?
Thank you
representation of a system in laplace or z domain is unique
but the realization in state space can be by many ways
but all this way represent the same system
check your eigenvalues for all your state ...will be a same
https://en.wikipedia.org/wiki/State-space_representation
Hi
I advice you to see these documents. You will find what you need.
I hope that I helped you, let us know if you have another questions or you need more details.
With best regards
http://lpsa.swarthmore.edu/Representations/SysRepTransformations/TF2SS.html
https://www.google.fr/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&cad=rja&uact=8&ved=0ahUKEwiRsrmJ-6bJAhVMVxoKHRF-AJ4QFgg8MAM&url=http%3A%2F%2Fnptel.ac.in%2Fcourses%2F101108047%2Fmodule4%2FLecture%252010.pdf&usg=AFQjCNFnMZvJ47nR3jzzxjL6VGeF2uHBFQ&sig2=DiRMMIW5BQV2IeenOuAxaA&bvm=bv.108194040,d.ZWU
https://www.google.fr/url?sa=t&rct=j&q=&esrc=s&source=web&cd=5&cad=rja&uact=8&ved=0ahUKEwiRsrmJ-6bJAhVMVxoKHRF-AJ4QFghEMAQ&url=http%3A%2F%2Focw.mit.edu%2Fcourses%2Faeronautics-and-astronautics%2F16-30-feedback-control-systems-fall-2010%2Flecture-notes%2FMIT16_30F10_lec06.pdf&usg=AFQjCNHNcEIrpaNZ4Y9bI046oe-FCKNeEA&sig2=ESQm54TGgA3R1SXQCDRvRA&bvm=bv.108194040,d.ZWU
Thank you , Khaled Telli, Ahmed Guerine for your help
I finally found the solution for my problem,
Best
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