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Non-iterative pole placement technique: A step further
Authors:O Bachelier  D Mehdi
Institution:LAII-ESIP, Bâtiment de Mécanique, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France
Abstract:This paper comes back to the hard problem of pole placement by static output feedback: let a triplet of matrices {A;B;C}∈Rn×n×Rn×m×Rp×n be given, find a matrix KRm×p such that the spectrum of A+BKC equals a specified set. More precisely, this article focuses on the derivation of non-iterative techniques, based upon the notion of eigenstructure assignment, to solve the problem, especially when Kimura's condition does not hold. Some solutions can sometimes be found.
Keywords:Pole placement  Eigenstructure assignment  Kimura's condition  Output feedback
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