Robust controller design for linear fractional-order systems with nonlinear time-varying model uncertainties

Author

Doye, Ibrahima N. ; Zasadzinski, Michel ; Radhy, Nour-eddine ; Bouaziz, Abdelhaq

Author_Institution

Centre de Rech. en Autom. de Nancy, Nancy Univ., Cosnes et Romain, France

fYear

2009

fDate

24-26 June 2009

Firstpage

821

Lastpage

826

Abstract

In this article, a robust linear controller design in time domain is presented for linear fractional-order systems with nonlinear model uncertainties. The Gronwall-Bellman lemma is employed to investigate the robust stability conditions which are based on the upper norm-bounds of the uncertainties. The parameters of a dynamic controller are selected to satisfy the requirements of robust stability under plant uncertainties.

Keywords

control system synthesis; linear systems; nonlinear control systems; stability; time-varying systems; uncertain systems; Gronwall-Bellman lemma; linear fractional-order system; nonlinear time-varying model uncertainty; robust linear controller design; robust stability; Automatic control; Biological system modeling; Displays; Nonlinear control systems; Robust control; Robust stability; Time varying systems; Uncertain systems; Uncertainty; Viscosity; Bellman-Gronwall lemma; Linear fractional-order systems; parameter uncertainties; robust stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2009. MED '09. 17th Mediterranean Conference on

Conference_Location

Thessaloniki

Print_ISBN

978-1-4244-4684-1

Electronic_ISBN

978-1-4244-4685-8

Type

conf

DOI

10.1109/MED.2009.5164645

Filename

5164645