Adaptive observer design for a class of Lipschitz nonlinear systems with multirate outputs and uncertainties: Application to attitude estimation with gyro bias

2021 ◽  
Vol 31 (8) ◽  
pp. 3137-3162
Author(s):  
Tristan Bonargent ◽  
Tomas Ménard ◽  
Olivier Gehan ◽  
Eric Pigeon
Keyword(s):  
Nonlinear Systems ◽  
Attitude Estimation ◽  
Observer Design ◽  
Adaptive Observer ◽  
Lipschitz Nonlinear Systems ◽  
Gyro Bias

scholarly journals Adaptive observer-based fault estimation for a class of Lipschitz nonlinear systems

2016 ◽  
Vol 26 (2) ◽  
pp. 245-259 ◽  
Author(s):  
Nabil Oucief ◽  
Mohamed Tadjine ◽  
Salim Labiod
Keyword(s):  
Nonlinear Systems ◽  
Transfer Functions ◽  
Matching Condition ◽  
Observer Design ◽  
Joint Estimation ◽  
Adaptive Observer ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Lipschitz Nonlinear Systems ◽  
Observer Matching Condition

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.

Robust observer design of one-sided Lipschitz nonlinear systems

2018 ◽  
Author(s):  
Badreddine El Haiek ◽  
Hicham El Aiss ◽  
Abdelaziz Hmamed ◽  
Ahmed El Hajjaji
Keyword(s):  
Nonlinear Systems ◽  
Observer Design ◽  
Robust Observer ◽  
Lipschitz Nonlinear Systems

Adaptive observer design for a class of nonlinear systems. Application to speed sensorless induction motor

Automatica ◽  
2018 ◽  
Vol 90 ◽  
pp. 239-247 ◽  
Author(s):  
Mondher Farza ◽  
Mohammed M’Saad ◽  
Tomas Ménard ◽  
Ali Ltaief ◽  
Tarak Maatoug
Keyword(s):  
Nonlinear Systems ◽  
Induction Motor ◽  
Observer Design ◽  
Adaptive Observer ◽  
Speed Sensorless
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