Decoupled integral variable structure control for MIMO systems

被引:17
作者
Wu, Tai-Zu [1 ]
Wang, Jinn-Der
Juang, Yau-Tarng
机构
[1] Natl Cent Univ, Dept Elect Engn, Chungli 32054, Taiwan
[2] St Johns & St Marys Inst Technol, Dept Elect Engn, Taipei, Taiwan
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2007年 / 344卷 / 07期
关键词
sliding mode; integral sliding surface; MIMO systems;
D O I
10.1016/j.jfranklin.2007.04.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 [计算机科学与技术];
摘要
This note presents an approach to design a multi-input/multi-output (MIMO) integral variable structure system. A closed-form formula based on the coprime matrix fraction description is developed to solve integral sliding surfaces for a class of linear MIMO systems and the control functions are determined. The proposed method not only avoids transforming the original plant into a companion form, but also enables the designed system to exhibit the desired dynamic properties. (C) 2007 Published by Elsevier Ltd. on behalf of The Franklin Institute.
引用
收藏
页码:1006 / 1020
页数:15
相关论文
共 16 条
[1]
Sliding mode control design based on Ackermann's formula [J].
Ackermann, J ;
Utkin, V .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (02) :234-237
[2]
Chen C.-T., 1984, LINEAR SYSTEM THEORY
[3]
Design of MIMO integral variable structure controllers [J].
Cheng, CC ;
Liu, IM .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (07) :1119-1134
[4]
INTEGRAL VARIABLE STRUCTURE CONTROL APPROACH FOR ROBOT MANIPULATORS [J].
CHERN, TL ;
WU, YC .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1992, 139 (02) :161-166
[5]
DESIGN OF INTEGRAL VARIABLE STRUCTURE CONTROLLER AND APPLICATION TO ELECTROHYDRAULIC VELOCITY SERVOSYSTEMS [J].
CHERN, TL ;
WU, YC .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1991, 138 (05) :439-444
[6]
2 APPROACHES TO HYPERPLANE DESIGN IN MULTIVARIABLE VARIABLE STRUCTURE CONTROL-SYSTEMS [J].
DORLING, CM ;
ZINOBER, ASI .
INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (01) :65-82
[7]
ANALYSIS AND DESIGN OF VARIABLE STRUCTURE SYSTEMS USING A GEOMETRIC APPROACH [J].
ELGHEZAWI, OME ;
ZINOBER, ASI ;
BILLINGS, SA .
INTERNATIONAL JOURNAL OF CONTROL, 1983, 38 (03) :657-671
[8]
A NEW APPROACH FOR CALCULATING DOUBLY COPRIME MATRIX-FRACTION DESCRIPTIONS [J].
FANG, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :138-141
[9]
Design of sliding surfaces in variable structure control via a direct pole assignment scheme [J].
Huang, YJ ;
Way, HK .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (08) :963-969
[10]
A CONNECTION BETWEEN STATE-SPACE AND DOUBLY COPRIME FRACTIONAL REPRESENTATIONS [J].
NETT, CN ;
JACOBSON, CA ;
BALAS, MJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (09) :831-832