scholarly journals Homogeneous finite time observer for nonlinear systems with linearizable error dynamics

2007 ◽  
Author(s):  
W. Perruquetti ◽  
T. Floquet
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Error Dynamics

scholarly journals Design of a Nonlinear Finite-Time Converging Observer for a Class of Nonlinear Systems

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Frédéric Sauvage ◽  
Martin Guay ◽  
Denis Dochain
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Partial Derivative ◽  
Finite Time ◽  
Jacobian Matrix ◽  
The State ◽  
Two Systems ◽  
Error Dynamics

This paper proposes a nonlinear finite-time converging observer for a class of nonlinear systems. The estimate is recovered from the present and delayed estimates provided by two independent dynamical systems converging to a function of the state with linear error dynamics. The estimation is carried out using only the Jacobian matrix of both transformations determined by solving two systems of partial derivative equations. The results are illustrated on a bioreactor model.

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