Quadratic L2 gain performance LPV realization of parametric transfer functions

Author

Wei, Xie

Author_Institution

Coll. of Autom. Sci. & Technol., South China Univ. of Technol., Guangzhou, China

fYear

2012

fDate

25-27 July 2012

Firstpage

42

Lastpage

46

Abstract

The paper deals with the quadratic L2 gain performance LPV realization of parametric transfer functions. It is shown that any parametric transfer function, which has L2 gain performance with a bound for all constant parameters values, admits a state space realization guaranteeing quadratic L2 gain performance with the bound under arbitrary parameter variations. A reasonably general procedure is provided to find such a realization with linear matrix inequality optimal technique.

Keywords

linear matrix inequalities; linear systems; optimal control; state-space methods; transfer functions; arbitrary parameter variations; constant parameter values; linear matrix inequality optimal technique; linear parameter-varying systems; parametric transfer functions; quadratic L2 gain performance LPV realization; state space realization; Interpolation; Linear matrix inequalities; Stability analysis; State feedback; Symmetric matrices; Transfer functions; Gain Scheduled Control; L2 Gain Performance; Linear Parameter Varying;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6389898