Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
