Observer design based on triangular form generated by injective map

M. Hou; Krishna Busawon; M. Saif

doi:10.1109/9.867046

Observer design based on triangular form generated by injective map

M. Hou, Krishna Busawon, M. Saif

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38 Citations (Scopus)

Abstract

A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an injective map for the triangular form transformation; and developing a design of nonlinear observers based on the triangular form. Results show that a procedure is proposed for constructing an injective map as a generalized coordinate change for triangular form transformation. Based on the triangular form a method is developed for designing nonlinear state observers.

Original language	English
Pages (from-to)	1350-1355
Journal	IEEE Transactions on Automatic Control
Volume	45
Issue number	7
DOIs	https://doi.org/10.1109/9.867046
Publication status	Published - Jul 2000

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abstract = "A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an injective map for the triangular form transformation; and developing a design of nonlinear observers based on the triangular form. Results show that a procedure is proposed for constructing an injective map as a generalized coordinate change for triangular form transformation. Based on the triangular form a method is developed for designing nonlinear state observers.",

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AB - A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an injective map for the triangular form transformation; and developing a design of nonlinear observers based on the triangular form. Results show that a procedure is proposed for constructing an injective map as a generalized coordinate change for triangular form transformation. Based on the triangular form a method is developed for designing nonlinear state observers.

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Observer design based on triangular form generated by injective map

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