Delay and state observation for SISO nonlinear systems with input delay

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Author(s)
Lechappe, Vincent
De L�, Jes
Moulay, Emmanuel
Plestan, Franck
Glumineau, Alain
Griffith University Author(s)
Year published
2018
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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.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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Journal Title
International Journal of Robust and Nonlinear Control
Volume
28
Copyright Statement
© 2018 Blackwell Verlag GmbH. This is the peer reviewed version of the following article: Delay and state observation for SISO nonlinear systems with input delay, International Journal of Robust and Nonlinear Control, Vol 28, pages 2356-2368 2018, which has been published in final form at 10.1002/rnc.4020. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving (http://olabout.wiley.com/WileyCDA/Section/id-828039.html)
Subject
Electrical and Electronic Engineering not elsewhere classified
Applied Mathematics
Electrical and Electronic Engineering
Mechanical Engineering