Dynamic pole assignment and schubert calculus

M. S. Ravi, Joachim Rosenthal, Xiaochang Wang

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

The output feedback pole assignment problem is a classical problem in linear theory. In this paper we calculate the number of complex dynamic compensators of order q assigning a given set of poles for a q-nondegenerate m-input, p-output system of McMillan degree n = q(m + p - 1) + mp. As a corollary it follows that when this number is odd, the generic system can be arbitrarily pole assigned by output feedback with a real dynamic compensator of order at most q if and only if q(m + p - 1) + mp ≥ n.

Original languageEnglish
Pages (from-to)813-832
Number of pages20
JournalSIAM Journal on Control and Optimization
Volume34
Issue number3
DOIs
StatePublished - May 1996

Keywords

  • Degree of variety
  • Dynamic compensator
  • Holomorphic curves in Grassmannian
  • Output feedback pole assignment

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