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

被引：62

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：

湖南省自然科学基金; 中国国家自然科学基金;

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

[11] LMI based stability analysis and controller design for a class of 2D continuous-discrete linear systems [J].

Galkowski, K ;

Paszke, W ;

Sulikowski, B ;

Rogers, E ;

Owens, DH .

PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 :29-34

[12] REPETITIVE CONTROL-SYSTEM - A NEW TYPE SERVO SYSTEM FOR PERIODIC EXOGENOUS SIGNALS [J].

HARA, S ;

YAMAMOTO, Y ;

OMATA, T ;

NAKANO, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (07) :659-668

[13]

Hara S., 1986, Journal of the Society of Instrument and Control Engineers, V25, P1111

[14] On control laws for discrete linear repetitive processes with dynamic boundary conditions [J].

Hladowski, Lukasz ;

Rogers, Eric ;

Galkowski, Krzysztof ;

Sule, Virendra R. .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2008, 19 (3-4) :477-488

[15] Experimentally supported 2D systems based iterative learning control law design for error convergence and performance [J].

Hladowski, Lukasz ;

Galkowski, Krzysztof ;

Cai, Zhonglun ;

Rogers, Eric ;

Freeman, Chris T. ;

Lewin, Paul L. .

CONTROL ENGINEERING PRACTICE, 2010, 18 (04) :339-348

[16] ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].

KHARGONEKAR, PP ;

PETERSEN, IR ;

ZHOU, KM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361

[17]

Merkin D.R., 1997, INTRO THEORY STABILI

[18] A Versatile Control Scheme for a Dynamic Voltage Restorer for Power-Quality Improvement [J].

Roncero-Sanchez, Pedro ;

Acha, Enrique ;

Ortega-Calderon, Jose Enrique ;

Feliu, Vicente ;

Garcia-Cerrada, Aurelio .

IEEE TRANSACTIONS ON POWER DELIVERY, 2009, 24 (01) :277-284

[19] Simultaneous optimisation of the low-pass filter and state-feedback controller in a robust repetitive-control system [J].

She, J. -H. ;

Wu, M. ;

Lan, Y. -H. ;

He, Y. .

IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (08) :1366-1376

[20] Improving disturbance-rejection performance based on an equivalent-input-disturbance approach [J].

She, Jin-Hua ;

Fang, Mingxing ;

Ohyama, Yasuhiro ;

Hashimoto, Hiroshi ;

Wu, Min .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2008, 55 (01) :380-389

← 1 2 3 →