Six-dimensional expansion of output feedback design for eigenstructure assignment

Based on a really analytical design method, this paper expands the problem of output feedback design for arbitrary pole assignment and partial eigenvector assignment in the following six independent directions. (1) Assign eigenvectors so that arbitrary pole assignment can be achieved in more general conditions. (2) Assign eigenvectors so that not arbitrarily given poles, but poles at desirable area can be assigned, for even more general conditions. (3) Use the dual version of the basic method so that inputs–outputs and left–right eigenvectors are switched. This version is needed when all assigned poles are complex conjugate and the number of system outputs is odd. (4) Try different combinations of two groups of the assigned poles, the first group can be assigned precisely, while the second group is assigned based on the eigenvectors of the first group and may be assigned without eigenvector assignment freedom (such as in parts (1) and (2) above). (5) Consider two different parts among system outputs, with one part being the output of an output feedback compensator. (6) Assign the first group of left eigenvectors for minimized zero input response, instead of for other existing purposes.