Dear Professors, thank you for your feedbacks.

There are some tehniques that take into account the constraints when developping the statefeedback controllers in the PP cases, if so I can understand from your replies that it is possible to use PP and MPC for systems, however, I am asking you again if is it possible to use these techniques separately, what I mean by that:

1-Use the PP technique to ameliorate the systems stability.

2- Then use a MPC to control the ameliorated system.

The misunderstanding that I have is that both techniques aims to have a control law and I don't know if it is possible to combine the first law u=k*x( in the case of PP), and the second control law from MPC technique, is it correct to do such developement?

Thank you again.

Dear Hafsa Hamidane,

Yes we can use the MPC method to assign the poles and conversely we can modify the spectrum of the system (improve the characteristics) then implement the MPC technique.

For more details and iformation about this subject, i suggest you to see links and attached files on topic.

https://www.sciencedirect.com/topics/engineering/pole-placement-method

https://arxiv.org/pdf/1109.2816.pdf

https://www.hindawi.com/journals/jcse/2012/630645/

https://arxiv.org/ftp/arxiv/papers/1801/1801.09238.pdf

ps://www.tesisenred.net/bitstream/handle/10803/32173/TDMJ1de3.pdf?sequence=1&i

Article Constrained predictive pole-placement control with linear models

Best regards

Thank you Professor. Lafifi for your help.

Dear Hafsa Hamidane ,

yes, it can be used. here are some methods:

Article Eigenvalue Pole Placement Using Model Predictive Control

http://folk.ntnu.no/skoge/prost/proceedings/acc08/data/papers/1140.pdf

https://arxiv.org/pdf/1109.2816.pdf

Thank you for your help Mr. Zahoor.