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Robust and well‐conditioned eigenstructure assignment via sylvester's equation
Author(s) -
Iii R. K. Cavin,
Bhattacharyya S. P.
Publication year - 1983
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660040302
Subject(s) - orthonormal basis , sylvester equation , eigenvalues and eigenvectors , matrix (chemical analysis) , mathematics , inversion (geology) , pure mathematics , physics , biology , paleontology , materials science , quantum mechanics , structural basin , composite material
An algorithmic solution is given for the problem of calculating a pole assignment matrix F that makes the eigenvector matrix of A + BF well‐conditioned with respect to inversion, or equivalently, maximally orthonormal. This causes A + BF to have low eigenvalue sensitivity. The algorithm relies on a solution of Sylvester's equation and does not involve co‐ordinate transformations or canonical forms. These results are steps in the direction of transforming pole assignment theory into an effective design tool for control systems.