Abstract
In this paper, a generalized terminal sliding surface is proposed for second-order systems. It is shown that the proposed scheme guarantees that the system state gets to zero in a finite time, and the proposed generalized terminal sliding surface is a superset of the conventional terminal sliding surfaces. The experimental results are given to show the validity of the main result.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y. Wu, B. Wang, and G. D. Zong, “Finite-time tracking controller design for nonholonomic systems with extended chained form,” IEEE Trans. Circuits Syst. II: Express Briefs, vol. 52, no. 11, pp. 798–802, Nov. 2005.
J. Resendiz, W. Yu, and L. Fridman, “Two-stage neural observer for mechanical systems,” IEEE Trans. Circuits Syst. II: Express Briefs, vol. 55, no. 10, pp. 1076–1080, Oct. 2008.
L. Wang, T. Chai, and L. Zhai, “Neural-network-based terminal sliding-mode control of robotic manipulators including actuator dynamics,” IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3296–3304, Sep. 2009.
L. Hui and J. Li, “Terminal sliding mode control for spacecraft formation flying,” IEEE Trans. Aerospace and Electron. Syst., vol. 45, no. 3, pp. 835–846, Jul. 2009.
S. Janardhanan and B. Bandyopadhyay, “On discretization of continuous-time terminal sliding mode,” IEEE Trans. Automat. Control, vol. 51, no. 9, pp. 1532–1536, Sep. 2006.
G. Garcia, S. Tarbouriech, and J. Bernussou, “Finite-time stabilization of linear time-varying continuous systems,” IEEE Trans. Automat. Control, vol. 54, no. 2, pp. 364–369, Feb. 2009.
V. I. Utkin, “Variable structure systems with sliding modes,” IEEE Trans. Automat. Control, vol. 22, no. 2, pp. 212–222, 1977.
J. Y. Hung, W. Gao, and J. C. Hung, “Variable structure control: a survey,” IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 2–22, 1993.
K. D. Young, V. I. Utkin, and U. Ozguner, “A control engineer’s guide to sliding mode control,” IEEE Trans. Control Systems Technology, vol. 7, no. 3, pp. 328–342, 1999.
Y. Niu, B. Chen, and X. Wang, “sliding mode control for a class of nonlinear ito stochastic systems with state and input delays,” International Journal of Control, Automation, and Systems, vol. 7, no. 3, pp. 365–370, 2009.
M.-C. Pai, “Observer-based adaptive sliding mode control for nonlinear uncertain state-delayed systems,” International Journal of Control, Automation, and Systems, vol. 7, no. 4, pp. 536–544, 2009.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Editor Myotaeg Lim. This work was supported by a Korea University Grant.
Young-Hun Jo received his B.S. degree in Control and Instrumentation Engineering from Korea University in 2009. His research interests include nonlinear control, robot control, and digital control.
Yong-Hwa Lee received his B.S. degree in Control and Instrumentation Engineering from Korea University in 2010. His research interests include nonlinear control, robust control, and sliding mode control.
Kang-Bak Park received his Ph.D. degree in Electrical Engineering from Korea Advanced Institute of Science and Technology (KAIST) in 1997. He is a professor in the Department of Control and Instrumentation Engineering at Korea University. His research interests include nonlinear control, sliding mode control, robot control, and sampled-data system.
Rights and permissions
About this article
Cite this article
Jo, YH., Lee, YH. & Park, KB. Design of generalized terminal sliding mode control for second-order systems. Int. J. Control Autom. Syst. 9, 606–610 (2011). https://doi.org/10.1007/s12555-011-0323-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-011-0323-z