Composite control of a delayed singularly perturbed system by using Lambert-W function

Author

Abdelkrim, Nouceyba ; Tellili, Adel ; Abdelkrim, Mohamed Naceur

fYear

2010

fDate

27-30 June 2010

Firstpage

1

Lastpage

4

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Signals and Devices (SSD), 2010 7th International Multi-Conference on

Conference_Location

Amman

Print_ISBN

978-1-4244-7532-2

Type

conf

DOI

10.1109/SSD.2010.5585577

Filename

5585577