Estimation and rejection of aperiodic disturbance in a modified repetitive-control system

Author

Lan Zhou ; Jinhua She ; Min Wu ; Yong He ; Shaowu Zhou

Author_Institution

Sch. of Inf. & Electr. Eng., Hunan Univ. of Sci. & Technol., Xiangtan, China

Volume

8

Issue

10

fYear

2014

fDate

July 3 2014

Firstpage

882

Lastpage

889

Abstract

This study concerns the problem of aperiodic-disturbance estimation and rejection in a modified repetitive-control system (MRCS). First, the configuration of an improved MRCS with an equivalent-input-disturbance (EID) estimator is constructed. The aperiodic disturbances are estimated by the EID estimator and their effect to the output channel are compensated by directly incorporating the estimates into the repetitive-control law. Next, the small gain theory and the separation theorem are used to derive the stability criterion. Then, the two-dimensional system approach and pole assignment are employed to constitute two independent design algorithms, one for the design of the state-feedback gains of the MRCS and one for the design of the EID estimator. Finally, a numerical example demonstrates the validity of the method.

Keywords

compensation; control system synthesis; multidimensional systems; pole assignment; stability criteria; state feedback; EID estimator; MRCS; aperiodic-disturbance estimation; aperiodic-disturbance rejection; compensation; equivalent-input-disturbance estimator; independent design algorithms; modified repetitive-control system; output channel; pole assignment; repetaperiodic disturbance; repetitive-control law; separation theorem; small gain theory; stability criterion; state-feedback gain design; two-dimensional system approach;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2013.0816

Filename

6839317