Eigenvector selection in the linear regulator problem: Combining modal and optimal control

An algorithm is given-for computing a feedback matrix which assigns closed loop eigenvalues and gives relatively low closed loop eigenvalue sensitivity and/or relative low average cost ∞0∫ x'Qx + u'Ru. The algorithm, based on a recent characterization of all possible sets of closed loop ei...

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Bibliographic Details
Published in1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes pp. 214 - 215
Main Authors Moore, B. C., Klein, G.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.1976
Subjects
Costs
Diversity reception
Eigenvalues and eigenfunctions
Feedback loop
Optimal control
Regulators
State feedback
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DOI10.1109/CDC.1976.267734

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Summary:An algorithm is given-for computing a feedback matrix which assigns closed loop eigenvalues and gives relatively low closed loop eigenvalue sensitivity and/or relative low average cost ∞0∫ x'Qx + u'Ru. The algorithm, based on a recent characterization of all possible sets of closed loop eigenvectors corresponding to the set of closed loop eigenvalues, is considerably more efficient than those which use a direct search on the elements of the feedback matrix.
DOI:10.1109/CDC.1976.267734