Design of a modified repetitive-control system based on a continuous-discrete 2D model

被引：59

作者：

She, Jinhua ^{[1
,2
]}

Zhou, Lan ^{[1
]}

Wu, Min ^{[1
]}

Zhang, Jie ^{[1
]}

He, Yong ^{[1
]}

机构：

[1] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Tokyo Univ Technol, Sch Comp Sci, Tokyo 1920982, Japan

来源：

AUTOMATICA | 2012年 / 48卷 / 05期

基金：

中国国家自然科学基金; 湖南省自然科学基金;

关键词：

Repetitive control; Two-dimensional (2D) system; Linear matrix inequality (LMI); Lyapunov stability theory; LINEAR-SYSTEMS; SERVO SYSTEM; STABILITY;

D O I：

10.1016/j.automatica.2012.02.019

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper concerns the problem of designing a modified repetitive-control system for a class of strictly proper plants. Repetitive control involves two types of actions: control and learning; but the insertion of a low-pass filter in a modified repetitive controller, which is employed to guarantee the stability of the system, mixes the two actions together. In this paper, a continuous-discrete two-dimensional model is first constructed. Next, the continuity of repetitive control and Lyapunov stability theory are applied to the model to establish two linear-matrix-inequality (LMI) based sufficient stability conditions, one for the design of the cutoff angular frequency and one for the design of the feedback gains. The features of these conditions are exploited to develop an iterative algorithm that searches for the best combination of the maximum cutoff angular frequency of the low-pass filter and the feedback gains. A numerical example illustrates the design procedure and demonstrates the validity of the method. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：844 / 850

页数：7

共 23 条

[1]

Alvarez JD, 2007, J PROCESS CONTR, V17, P689, DOI 10.1016/j.jprocont.2007.02.003

[2]

[Anonymous], 1995, OPTIMAL SAMPLED DATA, DOI DOI 10.1007/978-1-4471-3037-6

[3]

Arimoto S, 1998, ITERATIVE LEARNING CONTROL, P3

[4]

BALAS G, 2005, ROBUST CONTROL TOOLB, P134

[5]

Bose N.K., 2003, Multidimensional systems theory and applications

[6] H∞ repetitive control for pickup head flying height in near-field optical disk drives [J].

Chen, JW ;

Liu, TS .

IEEE TRANSACTIONS ON MAGNETICS, 2005, 41 (02) :1067-1069

[7] Implementation of a fast tool servo with repetitive control for diamond turning [J].

Crudele, M ;

Kurfess, TR .

MECHATRONICS, 2003, 13 (03) :243-257

[8] Design of a repetitive controller: an application to the track-following servo system of optical disk drives [J].

Doh, T. -Y. ;

Ryoo, J. R. ;

Chung, M. J. .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (03) :323-330

[9] Repetitive control design for linear systems with time-varying uncertainties [J].

Doh, TY ;

Chung, MJ .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (04) :427-432

[10] Stability and control of differential linear repetitive processes using an LMI setting [J].

Galkowski, K ;

Paszke, W ;

Rogers, E ;

Xu, S ;

Lam, J ;

Owens, DH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 2003, 50 (09) :662-666

← 1 2 3 →