TY - JOUR
T1 - MODAL STRUCTURE UNDER A SPECIFIC FEEDBACK LAW.
AU - Arbel, Ami
AU - Rath, Ofer
PY - 1986
Y1 - 1986
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0022955682&partnerID=8YFLogxK
U2 - 10.1109/cdc.1986.267423
DO - 10.1109/cdc.1986.267423
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AN - SCOPUS:0022955682
SN - 0191-2216
SP - 699
EP - 700
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -