Bekhiti, BelkacemDahimene, AbdelhakimHariche, Kamel2021-03-252021-03-252017978-1-5386-0687-2Electronic ISBN:978-1-5386-0686-5https://ieeexplore.ieee.org/document/8192004DOI: 10.1109/ICEE-B.2017.8192004https://dspace.univ-boumerdes.dz/handle/123456789/6697In this paper we have described a new design algorithm for the whole set of latent-structure assignment via the approaches of matrix polynomial placement with output noise rejection for a Quadruple tank process, of course the mathematical dynamic model of the process is obtained by MIMO (Simplified Refined Instrumental Variable) SRIV and/or MIMO (Linear Multi Stage Auto Regressive Moving Average with eXogenous input) LMS-ARMAX identification algorithms and then is handled and used in the control procedure which will provide us instead of placing only a set of desired eigenvalues we are able to assign both latent-vectors and the corresponding latent-values or more generally it is more efficient to assign the latent structure via the approach of Block pole placementenBlock rootsLMS-ARMAXMatrix polynomialsMFDArticle