Interval state observer design for fractional systems

Author

Hamdi, S.E. ; Amairi, M. ; Aoun, M. ; Abdelkrim, Mohamed Naceur

Author_Institution

Res. Unit Modeling, Anal. & Control of Syst. (MACS), Univ. of Gabes, Gabes, Tunisia

fYear

2013

fDate

18-21 March 2013

Firstpage

1

Lastpage

6

Abstract

This paper presents a design method for interval state observer for fractional systems in a bounded-error context. A causal observer based on prediction-correction approach is proposed. The prediction part consists on a validated solving of an Initial Value Problem (IVP) for a Fractional Differential Equation (FDE) and the correction part uses set inversion algorithm. A numerical example is presented to show the effectiveness of the proposed design method.

Keywords

differential equations; initial value problems; observers; set theory; FDE; IVP; bounded-error context; causal observer; fractional differential equation; fractional systems; initial value problem; interval state observer design; prediction-correction approach; set inversion algorithm; Backpropagation; Design methodology; Differential equations; Educational institutions; Laplace equations; Observers; Vectors; bounded error; fractional system; initial value problem; interval analysis; observer;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals & Devices (SSD), 2013 10th International Multi-Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4673-6459-1

Electronic_ISBN

978-1-4673-6458-4

Type

conf

DOI

10.1109/SSD.2013.6564115

Filename

6564115