An Application of New Polynomial Matrix σ-Inverse in Minimum-Energy Design of Robust Minimum Variance Control for Nonsquare LTI MIMO Systems

In this paper a new method of designing of multivariable minimum variance/perfect control is presented. For this purpose the new introduced inverses of nonsquare polynomial matrices are used. It is indicated that the new inverses outperform the classical ones in terms of their contribution to more robust minimum-energy MV/perfect control. Simulation examples made in Matlab/Simulink environment confirm a big potential of the method proposed in this paper.