Title :
Composite control of a delayed singularly perturbed system by using Lambert-W function
Author :
Abdelkrim, Nouceyba ; Tellili, Adel ; Abdelkrim, Mohamed Naceur
Abstract :
The composite state feedback control designed for singularly perturbed system SPS with small time-delay by using Lambert-W function is proposed in this paper. Based on the delayed slow subsystem (SS) and fast subsystems (FS) decomposition, we design a composite sate-feedback control. So the gain of delayed SS will be designed by using Lambert-W function and the gain of FS will be designed on the basis of classical pole placement method, and the two gains will be regrouped in global gain to design the delayed SPS. A numerical example is presented to illustrate the effectiveness of the proposed design approach.
Keywords :
control system synthesis; delays; singularly perturbed systems; state feedback; Lambert-W function; composite control; delayed singularly perturbed system; delayed slow subsystem; fast subsystem decomposition; pole placement method; state feedback control; time delay; Adaptive control; Control systems; Equations; Lambert-W function; Order reduction; composite control; singularly perturbed system; time-delay system;
Conference_Titel :
Systems Signals and Devices (SSD), 2010 7th International Multi-Conference on
Conference_Location :
Amman
Print_ISBN :
978-1-4244-7532-2
DOI :
10.1109/SSD.2010.5585577