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Robust and well-conditioned eigenstructure assignment via sylvester's equation
Authors:R. K. Cavin Iii  S. P. Bhattacharyya
Abstract: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.
Keywords:Pole assignment  Conditioning Eigenstructure  Maximally orthogonal closed-loop eigenvector matrices
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