A practical method for the design of sliding mode controllers using linear matrix inequalities

被引：83

作者：

Edwards, C ^{[1
]}

机构：

[1] Univ Leicester, Dept Engn, Control & Instrumentat Grp, Leicester LE1 7RH, Leics, England

来源：

AUTOMATICA | 2004年 / 40卷 / 10期

关键词：

sliding modes; quadratic cost functions; LMIs;

D O I：

10.1016/j.automatica.2004.05.004

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 considers the problem of selecting a sliding surface for a given system in an optimal way such that the performance of the reduced order system is balanced against the control costs required to maintain sliding. This approach is quite different from many of the existing schemes in the literature in which no direct account is taken of the control effort. Two new numerical schemes are presented both involving convex optimization problems. Three simple examples are given to demonstrate the theory. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1761 / 1769

页数：9

共 19 条

[1]

ARZELIER D, 1997, P EUR CONTR C

[2]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[3] H infinity design with pole placement constraints: An LMI approach [J].

Chilali, M ;

Gahinet, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :358-367

[4] A new method for variable structure control system design: A linear matrix inequality approach [J].

Choi, HH .

AUTOMATICA, 1997, 33 (11) :2089-2092

[5] On the existence of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties [J].

Choi, HH .

AUTOMATICA, 1999, 35 (10) :1707-1715

[6]

Edwards C, 1997, INT J ROBUST NONLIN, V7, P337, DOI 10.1002/(SICI)1099-1239(199704)7:4<337::AID-RNC278>3.0.CO

[7]

2-F

[8] Robust output tracking using a sliding-mode controller/observer scheme [J].

Edwards, C ;

Spurgeon, SK .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (05) :967-983

[9]

Edwards C., 1998, Sliding Mode Control: Theory and Applications

[10]

Franklin G. F., 1986, Feedback control of dynamic systems

← 1 2 →