Linear multivariable state-feedback starting from the MPF model; as recurrent algorithm to the control for canonical forms

This article presents an alternative method for finding the state feedback matrix for MIMO systems from the model matrix polynomial fraction MPF. The proposed algorithm is recurrent state-feedback method for multivariable canonical forms. This algorithm tends to be more efficient at level structurally, but not computationally, because advances in simulation with the model MPF not yet have a clear prospect by using symbolic mathematics. This works shown a simple and easy handling that this model provides to engineers and researches. To facilitate and validate the algorithm, some functions have been developed with Matlab®, which are available in Matlab Mathworks Center.