A recently presented pole-placement algorithm is extended to provide a complete closed-loop modal analysis of a linear dynamic system. The algorithm, which is iterative in nature, constructs the closed-loop feedback gain matrix in steps from the submatrices that it generates. The submatrices can be used not only for the construction of the gain matrix, but also to derive the left and right eigenvectors of the closed-loop system. This derivation is done as a byproduct of the pole-placement effort and is also iterative, following the same general steps as the pole-placement algorithm itself. The availability of the left and right eigenvectors can be further exploited to derive transition matrices and transfer matrices.
|Number of pages
|Proceedings of the IEEE Conference on Decision and Control
|Published - 1986