Adaptive Observer Design for Quasi-one-sided Lipschitz Nonlinear Systems

Author(s):  
Jun Huang ◽  
Lei Yu ◽  
Minjie Shi
2016 ◽  
Vol 26 (2) ◽  
pp. 245-259 ◽  
Author(s):  
Nabil Oucief ◽  
Mohamed Tadjine ◽  
Salim Labiod

Abstract Fault input channels represent a major challenge for observer design for fault estimation. Most works in this field assume that faults enter in such a way that the transfer functions between these faults and a number of measured outputs are strictly positive real (SPR), that is, the observer matching condition is satisfied. This paper presents a systematic approach to adaptive observer design for joint estimation of the state and faults when the SPR requirement is not verified. The proposed method deals with a class of Lipschitz nonlinear systems subjected to piecewise constant multiplicative faults. The novelty of the proposed approach is that it uses a rank condition similar to the observer matching condition to construct the adaptation law used to obtain fault estimates. The problem of finding the adaptive observer matrices is formulated as a Linear Matrix Inequality (LMI) optimization problem. The proposed scheme is tested on the nonlinear model of a single link flexible joint robot system.


Author(s):  
Badreddine El Haiek ◽  
Hicham El Aiss ◽  
Abdelaziz Hmamed ◽  
Ahmed El Hajjaji

Automatica ◽  
2018 ◽  
Vol 90 ◽  
pp. 239-247 ◽  
Author(s):  
Mondher Farza ◽  
Mohammed M’Saad ◽  
Tomas Ménard ◽  
Ali Ltaief ◽  
Tarak Maatoug

Author(s):  
A. Zemouche ◽  
R. Rajamani ◽  
B. Boulkroune ◽  
H. Rafaralahy ◽  
M. Zasadzinski

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