Analysis of second-order sliding-mode algorithms in the frequency domain

被引：100

作者：

Boiko, I ^{[1
]}

Fridman, L

Castellanos, ML

机构：

[1] SNC Lavalin, Calgary, AB T2P 3G5, Canada

[2] Univ Nacl Autonoma Mexico, Div Posgrado, Fac Ingn, Mexico City 70256, DF, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 06期

关键词：

chattering; relay control; sliding-mode (SM); variable structure systems;

D O I：

10.1109/TAC.2004.829615

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A frequency domain analysis of the second-order sliding-mode algorithms, particularly of the twisting algorithm is carried out in the frequency domain with the use of the describing function method and Tsypkin's approach. It is shown that in the presence of an actuator, the transient process may converge to a periodic motion. Parameters of this periodic motion are analyzed. A comparison of the periodic solutions in the systems with higher order sliding-mode controllers and the oscillations that occur in classical sliding-mode systems with actuators is done.

引用

页码：946 / 950

页数：5

共 14 条

[1]

[Anonymous], 1992, SLIDING MODES CONTRO

[2]

Anosov DV., 1959, AUTOMAT REM CONTR, V20, P135

[3]

Atherton D. P., 1975, NONLINEAR CONTROL EN

[4] Chattering avoidance by second-order sliding mode control [J].