Geodesic
Fault tolerant control for uncertain time-delay systems based on sliding mode control
Kybernetika, Tome 44 (2008) no. 5, pp. 617-632.

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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.
Classification : 15A39, 34D20, 34K35, 37L45, 93B40, 93C23, 93D09
Keywords: fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality 
@article{KYB_2008__44_5_a1,
     author = {Wu, Junsheng and Weng, Zhengxin and Tian, Zuohua and Shi, Songjiao},
     title = {Fault tolerant control for uncertain time-delay systems based on sliding mode control},
     journal = {Kybernetika},
     pages = {617--632},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2479308},
     zbl = {1180.93087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a1/}
}
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Wu, Junsheng; Weng, Zhengxin; Tian, Zuohua; Shi, Songjiao. Fault tolerant control for uncertain time-delay systems based on sliding mode control. Kybernetika, Tome 44 (2008) no. 5, pp. 617-632. http://geodesic.mathdoc.fr/item/KYB_2008__44_5_a1/