Geometric Theory and Control of Linear Parameter Varying Systems

Author

Bokor, József

Author_Institution

Comput. & Autom. Res. Inst., Hungarian Acad. of Sci., Budapest

fYear

2007

fDate

Yearly 17 2007-May 18 2007

Firstpage

163

Lastpage

170

Abstract

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

Keywords

control system synthesis; controllability; fault diagnosis; geometry; invariance; linear systems; matrix algebra; observability; state-space methods; time-varying systems; vectors; LTI state space representation; controllability; controller design; fault detection; geometric theory; invariant subspace; linear parameter varying system; matrix algebra; observability; vector parameter; Control system analysis; Control systems; Functional analysis; Nonlinear systems; Observability; Optimal control; Performance analysis; State-space methods; Time measurement; Vectors; Geometric control; decoupling; dynamic inversion; invariant subspaces; observer design; vector space distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Applied Computational Intelligence and Informatics, 2007. SACI '07. 4th International Symposium on

Conference_Location

Timisoara

Print_ISBN

1-4244-1234-X

Type

conf

DOI

10.1109/SACI.2007.375503

Filename

4262505