N. Abdelkrim, A. Tellili and M. N. Abdelkrim, “Composite Control of a Delayed Singularly Perturbed System by Using Lambert-W Function,” Proceedings of 2010 7th International Multi-Conference on Systems Signals and Devices (SSD), Amman, 27-30 June 2010, pp. 1-4. doi:10.1109/SSD.2010.5585577

has been cited by the following article:

• TITLE: Additive Fault Tolerant Control Applied to Delayed Singularly Perturbed System

  AUTHORS: Nouceyba Abdelkrim, Adel Tellili, Mohamed Naceur Abdelkrim

  KEYWORDS: Additive Fault Tolerant Control; Composite Control; Lambert W Function; Order Reduction; Sensor Fault; Singularly Perturbed System

  JOURNAL NAME: Journal of Software Engineering and Applications, Vol.5 No.4, April 23, 2012

  ABSTRACT: The additive fault tolerant control (FTC) for delayed system is studied in this work. To design the additive control, two steps are necessary; the first one is the estimation of the sensor fault amplitude using a Luenberger observer with delay, and the second one consists to generate the additive fault tolerant control law and to add it to the nominal control of delayed system. The additive control law must be in function of fault term, then, in the absence of fault the expression of additive control equal to zero. The generation of nominal control law consist to determinate the state feedback gain by using the Lambert W method. Around all these control tools, we propose an extension of the additive FTC to delayed singularly perturbed systems (SPS). So, this extension consists to decompose the delayed SPS in two parts: delayed slow subsystem (delayed SS) and fast subsystem (FS) without time delay. Next, we consider that the delayed SPS is affected at its steady-state, and we apply the principal of FTC to the delayed SS and finally we combine them with the feedback gain control of FS by using the principal of composite control.