TY - JOUR
T1 - Weight selection in feedback design with degree constraints
AU - Takyar, Mir Shahrouz
AU - Amini, Ali Nasiri
AU - Georgiou, Tryphon T.
PY - 2008
Y1 - 2008
N2 - We present an approach for feedback design which is based on recent developments in analytic interpolation with a degree constraint. Performance is cast as an interpolation problem with bounded analytic functions. Minimizers of a certain weighted-entropy functional provide interpolants having degree less than the number of constraints. The choice of weight parameterizes all such bounded degree solutions. However, the relationship between the weights and the shape of corresponding transfer functions is not direct. Thus, in this paper we develop a formalism that guides weight selection.
AB - We present an approach for feedback design which is based on recent developments in analytic interpolation with a degree constraint. Performance is cast as an interpolation problem with bounded analytic functions. Minimizers of a certain weighted-entropy functional provide interpolants having degree less than the number of constraints. The choice of weight parameterizes all such bounded degree solutions. However, the relationship between the weights and the shape of corresponding transfer functions is not direct. Thus, in this paper we develop a formalism that guides weight selection.
KW - Control synthesis
KW - Weighted entropy-like functionals
UR - http://www.scopus.com/inward/record.url?scp=54049097921&partnerID=8YFLogxK
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U2 - 10.1109/TAC.2008.929874
DO - 10.1109/TAC.2008.929874
M3 - Article
AN - SCOPUS:54049097921
SN - 0018-9286
VL - 53
SP - 1951
EP - 1955
JO - IRE Transactions on Automatic Control
JF - IRE Transactions on Automatic Control
IS - 8
ER -