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Constructive design of unknown input nonlinear observers by dissipativity and LMIs

Authors:Moreno Jaime A., Univ. Nac. Aut. de Mexico (UNAM), Mexico
Rocha-Cozatl Edmundo, Univ. Nac. Aut. de Mexico (UNAM), Mexico
Zeitz Michael, University of Stuttgart, ISR, Germany
Topic:2.3 Non-Linear Control Systems
Session:Nonlinear Observers I
Keywords: Unknown input observers, passivity, dissipativity, passive design, passivityby output injection, LMI.

Abstract

The existence of Unknown Input Observers (UIO) for nonlinear systems has beencharacterized recently by the first authors of this note as an abstract incrementaldissipativity property of the system. In this paper, it is shown that for a largeclass of systems this condition can be made computable by the use ofLMI techniques, leading to a constructive design method of nonlinear UIOs.