Fault tolerant control for uncertain time-delay systems based on sliding mode control

Jun Sheng Wu; Zhengxin Weng; Zuo Hua Tian; Song Jiao Shi

Kybernetika (2008)

  • Volume: 44, Issue: 5, page 617-632
  • ISSN: 0023-5954

Abstract

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Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can be seen as a fault tolerant controller, can retain the stability of the closed loop system in the present of uncertainties, disturbances and actuator fault is designed. A numerical simulation shows the effectiveness of the approach.

How to cite

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Wu, Jun Sheng, et al. "Fault tolerant control for uncertain time-delay systems based on sliding mode control." Kybernetika 44.5 (2008): 617-632. <http://eudml.org/doc/33953>.

@article{Wu2008,
abstract = {Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can be seen as a fault tolerant controller, can retain the stability of the closed loop system in the present of uncertainties, disturbances and actuator fault is designed. A numerical simulation shows the effectiveness of the approach.},
author = {Wu, Jun Sheng, Weng, Zhengxin, Tian, Zuo Hua, Shi, Song Jiao},
journal = {Kybernetika},
keywords = {fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality; fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality},
language = {eng},
number = {5},
pages = {617-632},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fault tolerant control for uncertain time-delay systems based on sliding mode control},
url = {http://eudml.org/doc/33953},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Wu, Jun Sheng
AU - Weng, Zhengxin
AU - Tian, Zuo Hua
AU - Shi, Song Jiao
TI - Fault tolerant control for uncertain time-delay systems based on sliding mode control
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 5
SP - 617
EP - 632
AB - Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can be seen as a fault tolerant controller, can retain the stability of the closed loop system in the present of uncertainties, disturbances and actuator fault is designed. A numerical simulation shows the effectiveness of the approach.
LA - eng
KW - fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality; fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality
UR - http://eudml.org/doc/33953
ER -

References

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  17. Xia Y. J., Robust sliding-mode control for uncertain time-delay systems: An LMI approach, IEEE Trans. Automat. Control 48 (2003), 1086–1092 MR1986284
  18. Xiong Y., Saif M., Robust and nonlinear fault diagnosis using sliding mode observers, In: IEEE Conference on Decision and Control, Orlando 2001, pp. 567–572 
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