Volume 28, Issue 6 pp. 2356-2368
RESEARCH ARTICLE

Delay and state observation for SISO nonlinear systems with input delay

Vincent Léchappé

Corresponding Author

Vincent Léchappé

Griffith University, School of Engineering, Gold Coast, Australia

Correspondence

Vincent Léchappé, Griffith University, School of Engineering, Gold Coast, Australia.

Email: [email protected]

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Jesús De Léon

Jesús De Léon

Facultad de Ingeniería Mecánica y Eléctrica (FIME), Universidad Autónoma de Nuevo León, Monterrey, Mexico

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Emmanuel Moulay

Emmanuel Moulay

XLIM, Université de Poitiers, UMR CNRS 7252, Poitiers, France

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Franck Plestan

Franck Plestan

Ecole Centrale de Nantes-LS2N, UMR CNRS 6004, Nantes, France

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Alain Glumineau

Alain Glumineau

Ecole Centrale de Nantes-LS2N, UMR CNRS 6004, Nantes, France

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First published: 04 January 2018
Citations: 20

Summary

This paper deals with the problem of state and delay estimation for SISO nonlinear systems with an unknown time-varying delay in the input. The main idea is to approximate the delayed input by using Taylor's theorem and to create an extended system with the delay as part of the extended state. Then, the construction of an observer is proposed to estimate both state and delay. The results are illustrated by simulations.

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