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Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input | IEEE Journals & Magazine | IEEE Xplore

Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input


The framework of the proposed observer design strategy.

Abstract:

In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated...Show More

Abstract:

In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated. First, the observer and the dynamic errors with undetermined parameters for the parabolic PDE systems subject to appropriate boundary conditions are presented. The conditions of the designed observer are involved. Then the analysis of asymptotic stability and H performance conditions for the observer design of uncertain nonlinear parabolic PDE systems are studied and presented in terms of matrix inequalities based on the Lyapunov stability theory. Finally, the effectiveness of the proposed method is validated by a numerical parabolic PDE system.
The framework of the proposed observer design strategy.
Published in: IEEE Access ( Volume: 8)
Page(s): 177956 - 177963
Date of Publication: 28 September 2020
Electronic ISSN: 2169-3536

Funding Agency:


References

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