Analysis of chattering in continuous sliding-mode controllers

被引：270
作者：
Boiko, I [1 ]
Fridman, L
机构：
[1] SNC Lavalin, Calgary, AB T2P 3G5, Canada
[2] Univ Nacl Autonoma Mexico, Fac Ingn, Mexico City 04510, DF, Mexico
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 09期
关键词：
chattering; relay control; sliding-mode (SM); variable structure systems;
D O I：
10.1109/TAC.2005.854655
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An analysis of two most popular continuous sliding-mode algorithms: The power-fractional sliding-mode algorithm and a second-order sliding-mode algorithm known as the super-twisting is carried out in the frequency domain with the use of the describing function method. It is shown that in the presence of an actuator, the transient process converges to a periodic motion. Parameters of this periodic motion are analyzed. A few examples are considered to illustrate the obtained results.
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收藏
页码：1442 / 1446
页数：5
相关论文
共 16 条
[1]   An invariance principle for discontinuous dynamic systems with application to a Coulomb friction oscillator [J].
Alvarez, J ;
Orlov, I ;
Acho, L .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2000, 122 (04) :687-690
[2]  
Atherton D. P., 1975, NONLINEAR CONTROL EN
[3]   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
[4]  
Bartolini G, 1999, LECT NOTES CONTR INF, V247, P329
[5]  
Boiko I, 2003, ASIAN J CONTROL, V5, P445, DOI 10.1111/j.1934-6093.2003.tb00162.x
[6]   Analysis of second-order sliding-mode algorithms in the frequency domain [J].
Boiko, I ;
Fridman, L ;
Castellanos, ML .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (06) :946-950
[7]  
BURLINGTON RS, 1973, HDB MATH TABLES FORM
[8]   Singularly perturbed analysis of chattering in relay control systems [J].
Fridman, LM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) :2079-2084
[9]   An averaging approach to chattering [J].
Fridman, LM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (08) :1260-1265
[10]  
Gelb A, 1968, Multiple-input describing functions and nonlinear system design
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