Introduction

Bernard, Pauline

doi:10.1007/978-3-030-11146-5_2

Pauline Bernard⁴

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 479))

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Abstract

This chapter introduces Part I which presents the most usual normal forms and their associated observers: the state-affine forms on the one hand and the triangular forms on the other hand. Some useful concepts such as the observability grammian are defined and the overall content of this part is presented through a global table.

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Notes

1.
The notation \(F(\xi ,u,y)\) is somehow abusive because y is not an input to the dynamics of \(\xi \). We should rather write \(F(\xi ,u,H(\xi ,u))\) as in (1.5), but this latter notation is less straight-forward. We thus decided to keep the former for clarity.
2.
See for instance [2].

References

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Authors and Affiliations

Department of Electrical, Electronic, and Information Engineering “Guglielmo Marconi”, University of Bologna, Bologna, Italy
Pauline Bernard

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Pauline Bernard
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Correspondence to Pauline Bernard .

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Bernard, P. (2019). Introduction. In: Observer Design for Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 479. Springer, Cham. https://doi.org/10.1007/978-3-030-11146-5_2

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DOI: https://doi.org/10.1007/978-3-030-11146-5_2
Published: 02 February 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11145-8
Online ISBN: 978-3-030-11146-5
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