Design of observers for descriptor systems affected by unknown inputs

BESMA GADDOUNA Centre de Recherche en Automatique de Nancy—CNRS URA 821, Institut National Poly technique de Lorraine, 2, avenue de la Forêt de Haye, Vandoeuvre-les-Nancy Cedex, F 54 516, France Phone: Tel. +33 83 59 59 59 Fax: Tel. +33 83 59 59 59 E-mail: e-mail: [email protected]

STÉPHANE GIULIANI Centre de Recherche en Automatique de Nancy—CNRS URA 821, Institut National Poly technique de Lorraine, 2, avenue de la Forêt de Haye, Vandoeuvre-les-Nancy Cedex, F 54 516, France Phone: Tel. +33 83 59 59 59 Fax: Tel. +33 83 59 59 59 E-mail: e-mail: [email protected]

JOSÉ RAGOT Centre de Recherche en Automatique de Nancy—CNRS URA 821, Institut National Poly technique de Lorraine, 2, avenue de la Forêt de Haye, Vandoeuvre-les-Nancy Cedex, F 54 516, France Phone: Tel. +33 83 59 59 59 Fax: Tel. +33 83 59 59 59 E-mail: e-mail: [email protected]

Abstract

A simple and direct procedure for designing unknown input observers for continuous descriptor systems is presented. The design of a state observer is investigated and an extension to estimate a linear function of the state and input is proposed. The chosen approach is based on the transformation of the system state space representation into particular design coordinates via a generalized matrix inversion technique. Assuming that the measurement matrix is full line rank involves many calculation simplifications. Special emphasis on the computational aspect of the observer matrices is provided. An illustrative example is also included.

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Design of observers for descriptor systems affected by unknown inputs

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Design of observers for descriptor systems affected by unknown inputs

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