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

Marie Nathalie Contou-Carrere; Prodromos Daoutidis

doi:10.1109/TAC.2005.858650

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

Marie Nathalie Contou-Carrere, Prodromos Daoutidis

Chemical Engineering and Materials Science

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1831-1835
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	50
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2005.858650
State	Published - 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: [email protected]). Digital Object Identifier 10.1109/TAC.2005.858650

Keywords

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

Publisher link

10.1109/TAC.2005.858650

Find It

Find It at U of M Libraries

Cite this

@article{92e78a80f25f4585bd0b9738ea1637f0,

title = "An output feedback precompensator for nonlinear DAE systems with control-dependent state-space",

abstract = "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.",

keywords = "Differential and algebraic equations (DAEs), Nonlinear control, Nonlinear electrical circuit, Singular systems",

author = "Contou-Carrere, {Marie Nathalie} and Prodromos Daoutidis",

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: [email protected]). Digital Object Identifier 10.1109/TAC.2005.858650",

year = "2005",

month = nov,

doi = "10.1109/TAC.2005.858650",

language = "English (US)",

volume = "50",

pages = "1831--1835",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "11",

}

TY - JOUR

T1 - An output feedback precompensator for nonlinear DAE systems with control-dependent state-space

AU - Contou-Carrere, Marie Nathalie

AU - Daoutidis, Prodromos

N1 - 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: [email protected]). Digital Object Identifier 10.1109/TAC.2005.858650

PY - 2005/11

Y1 - 2005/11

N2 - 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.

AB - 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.

KW - Differential and algebraic equations (DAEs)

KW - Nonlinear control

KW - Nonlinear electrical circuit

KW - Singular systems

UR - http://www.scopus.com/inward/record.url?scp=28644450296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28644450296&partnerID=8YFLogxK

U2 - 10.1109/TAC.2005.858650

DO - 10.1109/TAC.2005.858650

M3 - Article

AN - SCOPUS:28644450296

SN - 0018-9286

VL - 50

SP - 1831

EP - 1835

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 11

ER -

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

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this