Open AccessState observer design method for a class of non‐linear systems
Author(s) -
Arezki Hasni,
Zemouche Ali,
Bedouhene Fazia,
Alessandri Angelo
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2020.0059
Subject(s) - class (philosophy) , observer (physics) , state (computer science) , state observer , computer science , control theory (sociology) , linear system , mathematics , artificial intelligence , algorithm , nonlinear system , control (management) , mathematical analysis , physics , quantum mechanics
In this study, the authors develop a new high‐gain observer design method for non‐linear systems. This new design provides a lower gain compared to both the high‐gain and the enhanced high‐gain observer. The idea is to combine the improved high‐gain methodology with the linear matrix inequality based observer design technique to build a more general observer that allows one to exploit the benefits of both approaches. A numerical example is given to show the effectiveness of the proposed observer with different values of the Lipschitz constant and of the compromise index.