MIMO identification and digital compensator design for quadruple tank process

In 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 placement.