Sliding mode control with double power reaching law

被引:0
作者
Li H.-J. [1 ]
Cai Y.-L. [1 ]
机构
[1] School of Electronic & Information Engineering, Xi'an Jiaotong University, Xi'an
来源
Kongzhi yu Juece/Control and Decision | 2016年 / 31卷 / 03期
关键词
Double power reaching law; Fixed-time convergence; Sliding mode control; Steady-state error bound;
D O I
10.13195/j.kzyjc.2014.1908
中图分类号
学科分类号
摘要
A double power reaching law-based sliding mode control approach is proposed for the low convergence speed and chattering phenomenon in the scheme with conventional reaching laws. This double power reaching law has the characteristic of global fixed-time convergence, which means the upper bound of convergence time is independent of the initial value of the sliding mode. It is proved that, for a class of uncertain systems, the sliding mode and its derivative can converge to the proposed steady-state error bounds in finite time, respectively. A typical simulation is given to validate the theoretical results presented in the paper. © 2016, Editorial Office of Control and Decision. All right reserved.
引用
收藏
页码:498 / 502
页数:4
相关论文
共 15 条
[1]  
Slotine J.J.E., Li W., Applied Nonlinear Control, pp. 290-301, (1991)
[2]  
Levant A., Universal single-input-single-output(SISO) sliding-mode controllers with finite-time convergence, IEEE Trans on Automatic Control, 46, 9, pp. 1447-1451, (2001)
[3]  
Laghrouche S., Plestan F., Glumineau A., Higher order sliding mode control based on integral sliding mode, Automatica, 43, 3, pp. 531-537, (2007)
[4]  
Defoort M., Floquet T., Kokosy A., Et al., A novel higher order sliding mode control scheme, Systems & Control Letters, 58, 2, pp. 102-108, (2009)
[5]  
Siraramirez H., On the dynamic sliding mode control of nonlinear systems, Int J of Control, 57, 5, pp. 1039-1061, (1993)
[6]  
Gao W.B., Theory and Design Method for Variable Sliding Mode Control, pp. 220-221, (1996)
[7]  
Yu S.H., Yu X.H., Shirinzadeh B., Et al., Continuous finitetime control for robotic manipulators with terminal sliding mode, Automatica, 41, 11, pp. 1957-1964, (2005)
[8]  
Mei H., Wang Y., Fast convergent sliding mode variable structure control of robot, Information and Control, 38, 5, pp. 552-557, (2009)
[9]  
Li P., Ma J.J., Zheng Z.Q., Sliding mode control approach based on nonlinear integrator, Control Theory & Applications, 28, 5, pp. 619-624, (2011)
[10]  
Zhang H.X., Fan J.S., Meng F., Et al., A new double power reaching law for sliding mode control, Control and Decision, 28, 2, pp. 289-293, (2013)