Linear parameter varying systems: A geometric theory and applications

J. Bokor, Gary Balas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

50 Citations (Scopus)

Abstract

Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(ρ);B(ρ);C(ρ) matrices depend on an unknown but at any time instant measurable vector parameter ρ ε P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems a±ne in the parameters will be presented and proposed. Application of these results will be shown and referenced in solving various analysis (controllabilty/observability) problems, controller design and fault detection problems associated to LPV systems.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages12-22
Number of pages11
Volume16
Publication statusPublished - 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: Jul 3 2005Jul 8 2005

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CountryCzech Republic
CityPrague
Period7/3/057/8/05

Fingerprint

Observability
Fault detection
Controllers

Keywords

  • Decoupling
  • Dynamic inversion
  • Geometric control
  • Invariant subspaces
  • Observer design
  • Vector space distributions

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Bokor, J., & Balas, G. (2005). Linear parameter varying systems: A geometric theory and applications. In IFAC Proceedings Volumes (IFAC-PapersOnline) (Vol. 16, pp. 12-22)

Linear parameter varying systems : A geometric theory and applications. / Bokor, J.; Balas, Gary.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 12-22.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bokor, J & Balas, G 2005, Linear parameter varying systems: A geometric theory and applications. in IFAC Proceedings Volumes (IFAC-PapersOnline). vol. 16, pp. 12-22, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, Czech Republic, 7/3/05.
Bokor J, Balas G. Linear parameter varying systems: A geometric theory and applications. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 12-22
Bokor, J. ; Balas, Gary. / Linear parameter varying systems : A geometric theory and applications. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. pp. 12-22
@inproceedings{b36b3f4c3da34fef88099027089e92d6,
title = "Linear parameter varying systems: A geometric theory and applications",
abstract = "Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(ρ);B(ρ);C(ρ) matrices depend on an unknown but at any time instant measurable vector parameter ρ ε P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems a±ne in the parameters will be presented and proposed. Application of these results will be shown and referenced in solving various analysis (controllabilty/observability) problems, controller design and fault detection problems associated to LPV systems.",
keywords = "Decoupling, Dynamic inversion, Geometric control, Invariant subspaces, Observer design, Vector space distributions",
author = "J. Bokor and Gary Balas",
year = "2005",
language = "English",
isbn = "008045108X",
volume = "16",
pages = "12--22",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

}

TY - GEN

T1 - Linear parameter varying systems

T2 - A geometric theory and applications

AU - Bokor, J.

AU - Balas, Gary

PY - 2005

Y1 - 2005

N2 - Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(ρ);B(ρ);C(ρ) matrices depend on an unknown but at any time instant measurable vector parameter ρ ε P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems a±ne in the parameters will be presented and proposed. Application of these results will be shown and referenced in solving various analysis (controllabilty/observability) problems, controller design and fault detection problems associated to LPV systems.

AB - Linear Parameter Varying (LPV) systems appear in a form of LTI state space representations where the elements of the A(ρ);B(ρ);C(ρ) matrices depend on an unknown but at any time instant measurable vector parameter ρ ε P. This paper describes a geometric view of LPV systems. Geometric concepts and tools of invariant subspaces and algorithms for LPV systems a±ne in the parameters will be presented and proposed. Application of these results will be shown and referenced in solving various analysis (controllabilty/observability) problems, controller design and fault detection problems associated to LPV systems.

KW - Decoupling

KW - Dynamic inversion

KW - Geometric control

KW - Invariant subspaces

KW - Observer design

KW - Vector space distributions

UR - http://www.scopus.com/inward/record.url?scp=79960732795&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960732795&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960732795

SN - 008045108X

SN - 9780080451084

VL - 16

SP - 12

EP - 22

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -