Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems

doi:10.1007/s11633-016-0971-9

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	Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems
	Adel Tellili 1,3; Nouceyba Abdelkrim 1,2; Amina Challouf 1,2; Mohamed Naceur Abdelkrim 1,4
发表期刊	International Journal of Automation and Computing
ISSN	1476-8186
	2018
卷号	15 期号:6 页码:736-746
摘要	This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-timescale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using ε-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law ε-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method.
关键词	Singularly perturbed systems time scale decomposition adaptive fault tolerant control actuator fault Lyapunov equations.
DOI	10.1007/s11633-016-0971-9
引用统计	被引频次：6[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42448
专题	学术期刊_Machine Intelligence Research
作者单位	1.Research Unit MACS, University of Gabes, Gabes, Tunisia 2.Higher Institute of Industrial Systems at Gabes, University of Gabes, Gabes, Tunisia 3.Higher Institute of Technological Studies at Djerba, Djerba, Tunisia 4.National School of Engineers of Gabes, University of Gabes, Gabes, Tunisia
推荐引用方式 GB/T 7714	Adel Tellili,Nouceyba Abdelkrim,Amina Challouf,et al. Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems[J]. International Journal of Automation and Computing,2018,15(6):736-746.
APA	Adel Tellili,Nouceyba Abdelkrim,Amina Challouf,&Mohamed Naceur Abdelkrim.(2018).Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems.International Journal of Automation and Computing,15(6),736-746.
MLA	Adel Tellili,et al."Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems".International Journal of Automation and Computing 15.6(2018):736-746.

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