Publications

@article{Tellili2018736,

title = {Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems},

author = {A. Tellili and N. Abdelkrim and A. Challouf and M. -N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84992679392\&doi=10.1007%2fs11633-016-0971-9\&partnerID=40\&md5=dc9dd313b1f70132d087233e6320c62a},

doi = {10.1007/s11633-016-0971-9},

issn = {14768186},

year  = {2018},

date = {2018-01-01},

journal = {International Journal of Automation and Computing},

volume = {15},

number = {6},

pages = {736-746},

publisher = {Chinese Academy of Sciences},

abstract = {This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale 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. © 2016, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.},

note = {cited By 7},

keywords = {Actuator fault; Adaptive fault-tolerant control; Lyapunov equation; Singularly perturbed systems; Time-scale decomposition, Actuators; Control theory; Difference equations; Fault tolerance; Linear control systems; Lyapunov functions; Numerical methods; Perturbation techniques; Time measurement, Adaptive control systems},

pubstate = {published},

tppubtype = {article}

}