Singularly perturbed analysis of chattering in relay control systems

被引:133
作者
Fridman, LM [1 ]
机构
[1] Univ Nacl Autonoma Mexico, DEP FI, Mexico City 04510, DF, Mexico
关键词
singularly perturbed systems; sliding-mode control; variable structure systems;
D O I
10.1109/TAC.2002.805672
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
For sliding-mode control systems with fast actuators, sufficient conditions for the exponential decreasing of the amplitude of chattering and unlimited growth of frequency are found. The connection between the stability of actuators and the stability of the plant on the one hand and the stability of the sliding-mode system as the whole on the other hand is investigated. The algorithm for correction of sliding-mode equations is suggested for taking into account the presence of fast actuators.
引用
收藏
页码:2079 / 2084
页数:6
相关论文
共 14 条
[1]
Chattering avoidance by second-order sliding mode control [J].
Bartolini, G ;
Ferrara, A ;
Usai, E .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (02) :241-246
[2]
BONDAREV AG, 1985, AUTOMAT REM CONTR+, V46, P679
[3]
Filippov A.F., 1988, MATH ITS APPL SOVIET, V18
[4]
Fridman L, 2002, CONTROL ENGN SER, V11, P53
[5]
An averaging approach to chattering [J].
Fridman, LM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (08) :1260-1265
[6]
FRIDMAN LM, 1990, DIFF EQUAT+, V26, P1307
[7]
Fast switches in relay feedback systems [J].
Johansson, KH ;
Rantzer, A ;
Åström, KJ .
AUTOMATICA, 1999, 35 (04) :539-552
[8]
Kokotovic P., 1999, SINGULAR PERTURBATIO
[9]
Robust exact differentiation via sliding mode technique [J].
Levant, A .
AUTOMATICA, 1998, 34 (03) :379-384
[10]
Tracking in a class of nonminimum-phase systems with nonlinear internal dynamics via sliding mode control using method of system center [J].
Shkolnikov, IA ;
Shtessel, YB .
AUTOMATICA, 2002, 38 (05) :837-842