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Delay and state observation for SISO nonlinear systems with input delay
Author(s) -
Léchappé Vincent,
De Léon Jesús,
Moulay Emmanuel,
Plestan Franck,
Glumineau Alain
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4020
Subject(s) - control theory (sociology) , nonlinear system , observer (physics) , state (computer science) , computer science , state observer , group delay and phase delay , state dependent , mathematics , control (management) , algorithm , telecommunications , artificial intelligence , physics , mathematical economics , quantum mechanics , bandwidth (computing)
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.