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Unknown Input Kalman Filtering for Linear Discrete-Time Fractional Order Systems With Direct Feedthrough [in press]

Kupper, Martin; Pfeifer, Martin; Krebs, Stefan; Hohmann, Sören


This paper presents an algorithm for a joint estimation of pseudo states and unknown inputs of a fractional order system. The special case where the unknown inputs have direct feedthrough to the outputs is considered. Necessary and sufficient conditions are given under which an unbiased pseudo state and input estimation is possible. The prediction step of the fractional Kalman filter uses an approximation as it can not be calculated exactly in practice. Therefore, the estimation procedure is suboptimal. Nevertheless, the method yields accurate estimates of pseudo states and unknown inputs which is illustrated by means of an academic example.

Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Proceedingsbeitrag
Publikationsdatum 27.06.2019
Sprache Englisch
Identifikator KITopen-ID: 1000095026
HGF-Programm 37.06.01 (POF III, LK 01) Networks and Storage Integration
Erschienen in European Control Conference (ECC), Naples, Italy, 25–28 June 2019
Verlag Institute of Electrical and Electronics Engineers (IEEE)
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