A New Pole Placement Design Algorithm That is Like Root Locus Method and That is General for MIMO Systems

This paper presents a brand-new design approach for a constant gain matrix K, so that the eigenvalues of matrix A-BKC are satisfactory. Unlike existing design approaches in which these eigenvalues are pre-selected before the design computation of K, this new design approach integrates the entire design freedom of these eigenvalues into the design of K. The value of each element of K is determined one at a time, and is determined based on the eigenvalue locus plot of that element. This design algorithm is very desirable because it is applicable to about half of all plant systems (A, B, C) for which the existing arbitrarily pole placement control cannot be realized.