LPV technique for the rejection of sinusoidal disturbance with time-varying frequency

Author

Du, H. ; Zhang, L. ; Lu, Z. ; Shi, X.

Author_Institution

State Key Lab. of Vibration, Shock & Noise, Shanghai Jiao Tong Univ., China

Volume

150

Issue

2

fYear

2003

fDate

3/1/2003 12:00:00 AM

Firstpage

132

Lastpage

138

Abstract

This design of a linear parameter-varying (LPV) controller for the rejection of sinusoidal disturbance with time-varying frequency, but measurable online for implementation purposes, is described. The approach proposed is based on modelling the sinusoidal disturbance with a measurable time-varying frequency as an LPV model and adding this model to the controlled linear time-invariant system to formulate an augmented LPV system. Then a stabilising H_∞-like LPV controller is constructed for the augmented LPV system based on the Lyapunov approach with a single quadratic Lyapunov function. The effectiveness of the LPV controller is assessed by means of several simulation trials on a two-mass-spring-damper system. Numerical results are used to demonstrate the validity of the analytical results and the ability of the algorithms to reject sinusoidal disturbance with time-varying frequency.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; linear matrix inequalities; linear systems; stability; time-varying systems; H_∞ control; linear matrix inequalities; linear parameter-varying systems; linear time-invariant system; single quadratic Lyapunov function; sinusoidal disturbance rejection; time-varying frequency; two-mass-spring-damper system;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:20030101

Filename

1193589