Fixed-order LPV controller design for rejection of a sinusoidal disturbance with time-varying frequency

Author

Emedi, Zlatko ; Karimi, Alireza

Author_Institution

Lab. d´Autom., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland

fYear

2012

fDate

3-5 Oct. 2012

Firstpage

837

Lastpage

842

Abstract

A new method for the design of fixed-order Linear Parameter Varying (LPV) controllers with polytopic representation for LTI plants is proposed. The stability constraints for the closed-loop system are presented through a set of Linear Matrix Inequalities (LMIs). An additional set of LMIs guarantees H_∞ performance for the weighted closed-loop sensitivity function. The method is successfully applied to the problem of controller design for the rejection of a sinusoidal disturbance with timevarying frequency.

Keywords

H^∞ control; closed loop systems; control system synthesis; linear matrix inequalities; stability; time-varying systems; H_∞ performance; LMI; LTI plants; closed-loop system; fixed-order LPV controller design; fixed-order linear parameter varying controllers; linear matrix inequalities; polytopic representation; sinusoidal disturbance; stability constraints; time-varying frequency; weighted closed-loop sensitivity function; Biological system modeling; Closed loop systems; Frequency control; Stability analysis; Time frequency analysis; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2012 IEEE International Conference on

Conference_Location

Dubrovnik

ISSN

1085-1992

Print_ISBN

978-1-4673-4503-3

Electronic_ISBN

1085-1992

Type

conf

DOI

10.1109/CCA.2012.6402733

Filename

6402733