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Guaranteed state estimation using a bundle of interval observers with adaptive gains applied to the induction machine

Schwartz, Manuel; Krebs, Stefan; Hohmann, Sören

he scope of this paper is the design of an interval observer bundle for the guaranteed state estimation of an uncertain induction machine with linear, time-varying dynamics. These guarantees are of particular interest in the case of safety-critical systems. In many cases, interval observers provide large intervals for which the usability becomes impractical. Hence, based on a reduced-order hybrid interval observer structure, the guaranteed enclosure within intervals of the magnetizing current’s estimates is improved using a bundle of interval observers. One advantage of such an interval observer bundle is the possibility to reinitialize the interval observers at specified timesteps during runtime with smaller initial intervals, based on previously observed system states, resulting in decreasing interval widths. Thus, unstable observer dynamics are considered so as to take advantage of their transient behavior, whereby the overall stability of the interval estimation is maintained. An algorithm is presented to determine the parametrization of reduced-order interval observers. To this, an adaptive observer gain is introduced with which the system states are observed optimally by considering a minimal interval width at variable operating points. ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000131392
Veröffentlicht am 16.04.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 1424-8220
KITopen-ID: 1000131392
Erschienen in Sensors
Verlag MDPI
Band 21
Heft 8
Seiten Art.-Nr.: 2584
Schlagwörter interval observer; bundle of observers; reduced-order hybrid observer; adaptive observer; induction machine
Nachgewiesen in Scopus
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