Ultracapacitor modelling and control using discrete fractional order state-space models and Fractional Kalman Filters

Author

Dzielinski, Andrzej ; Sierociuk, Dominik

Author_Institution

Inst. of Control & Ind. Electron., Warsaw Univ. of Technol., Warsaw, Poland

fYear

2007

fDate

2-5 July 2007

Firstpage

2916

Lastpage

2922

Abstract

In this paper the modelling of ultracapacitor system using continuous and discrete fractional order systems is presented. The discrete fractional order state-space model is obtained for the ultracapacitor basing on its original continuous time description. In order to make the state of the system accessibile for control purposes the Fractional-order Kalman Filter (FKF) and Extended Fractional-order Kalman Filter (EFKF) are recalled. The obtained model is used for designing and testing of a state feedback controller with EFKF. The results of simulations of the control system are given.

Keywords

Kalman filters; continuous systems; control system synthesis; discrete systems; state feedback; state-space methods; supercapacitors; EFKF; FKF; continuous fractional order systems; discrete fractional order state-space models; discrete fractional order systems; extended fractional-order Kalman filter; fractional-order Kalman filters; state feedback controller design; ultracapacitor control; ultracapacitor modelling; Equations; Kalman filters; Mathematical model; State feedback; Supercapacitors; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068506