On factorization of the nonlinear drift term for SDRE approach

Yew Wen Liang, Li Gang Lin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Scopus citations


This study presents necessary and sufficient conditions for the existence of a constant matrix A that satisfies Ax = f, (A,B) is stabilizable and (A,C) is observable (resp., detectable), where x and f are two constant vectors with x ≠ 0, while B and C are two constant matrices with approximate dimension. The conditions presented are very easy to check and a set of such feasible matrices A are also provided explicitly when the existence conditions are satisfied. In practical applications, this study may cooperate with the state-dependent Riccati equation (SDRE) implementation at those states where the SDRE scheme fails to operate, yet the presented existence conditions hold there.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


  • Drift term
  • Nonlinear control system
  • State dependent Riccati equation


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