Analysis of response of second-order sliding mode controllers to external inputs in frequency domain

被引:19
作者
Boiko, Igor [1 ]
Castellanos, Ivan [2 ,3 ]
Fridman, Leonid [2 ]
机构
[1] Univ Calgary, Calgary, AB T2N 1N4, Canada
[2] Univ Nacl Autonoma Mexico, Mexico City 04510, DF, Mexico
[3] Autonomous Univ Ciudad Juarez, Ciudad Juarez, Mexico
关键词
high-order sliding mode; frequency methods; input-output analysis;
D O I
10.1002/rnc.1206
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Response of systems with the second-order sliding-mode (SOSM) control algorithms to an external harmonic excitation is analysed in the frequency domain. The analysis is done via application of the concept of the equivalent gain of a nonlinear function. The equivalent gain is used as a model of propagation of averaged values of signals through nonlinear elements of the system. Two SOSM algorithms: twisting and super-twisting are analysed. The results are presented in the format of the conventional amplitude and phase frequency response. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码:502 / 514
页数:13
相关论文
共 12 条
[1]  
[Anonymous], 1992, SLIDING MODES CONTRO
[2]  
Atherton D. P., 1975, NONLINEAR CONTROL EN
[3]   Analysis of sliding modes in the frequency domain [J].
Boiko, I .
INTERNATIONAL JOURNAL OF CONTROL, 2005, 78 (13) :969-981
[4]   Analysis of chattering in continuous sliding-mode controllers [J].
Boiko, I ;
Fridman, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (09) :1442-1446
[5]   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
[6]  
BURLINGTON RS, 1973, HDB MATH TABLES FORM
[7]  
EMELJANOV SV, 1986, SOV J COMPUT SYST S+, V24, P63
[8]  
Gelb A, 1968, Multiple-input describing functions and nonlinear system design
[9]   Robust exact differentiation via sliding mode technique [J].
Levant, A .
AUTOMATICA, 1998, 34 (03) :379-384
[10]   SLIDING ORDER AND SLIDING ACCURACY IN SLIDING MODE CONTROL [J].
LEVANT, A .
INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) :1247-1263