An unknown input interval observer for LPV systems under L2-gain and L∞-gain criteria

• Autores: Nicolas Ellero, David Gucik-Derigny, David Henry
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 103, 2019, págs. 294-301
• Idioma: inglés
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• Resumen

  • This paper investigates the design of an unknown input interval observer, for linear parameter varying systems. The proposed method provides a solution to the decoupling conditions under L2-gain and L∞-gain performance level. It is shown that the design of the unknown input interval observer parameters can be formulated as a SDP problem. The major advantages with regard to other solutions is that first, it does not require the explicit knowledge of a (time-varying) state transformation, for the estimation error dynamics to satisfy the Meztler property. Rather, it is shown how such a property can be formulated as a part of the SDP optimization process; Second, decoupling and L2/L∞ constraints are formulated on the thickness of the interval length in spite of half the interval length. The proposed methodology is illustrated on a numerical academic example.