An output feedback precompensator for nonlinear DAE systems with control-dependent state-space

Marie Nathalie Contou-Carrere, Prodromos Daoutidis

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15 Scopus citations


This note considers singular systems of nonlinear differential and algebraic equations (DAEs) whose constrained state space depends on the control inputs. A state-space realization of such systems cannot be derived independently of the controller design. An output feedback precompensator is derived, which results in a modified DAE system whose state-space is invariant under any feedback control law and can be used for output feedback controller synthesis. Its application is illustrated by a nonlinear electrical circuit example.

Original languageEnglish (US)
Pages (from-to)1831-1835
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number11
StatePublished - Nov 2005

Bibliographical note

Funding Information:
Manuscript received April 24, 2003; revised June 2, 2004 and April 26, 2005. Recommended by Associate Editor J. M. A. Scherpen. This work was supported in part by Grants NSF/CTS-0234440 and ACS/PRF-38114-AC9. The authors are with the Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: Digital Object Identifier 10.1109/TAC.2005.858650


  • Differential and algebraic equations (DAEs)
  • Nonlinear control
  • Nonlinear electrical circuit
  • Singular systems


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