Observer design for a class of irreversible port Hamiltonian systems

Saida Zenfari; Mohamed Laabissi; Mohammed Elarbi  Achhab

doi:10.11121/ijocta.2023.1072

Authors

Saida Zenfari Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco https://orcid.org/0000-0003-2715-0159
Mohamed Laabissi Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco https://orcid.org/0000-0001-8287-1034
Mohammed Elarbi Achhab Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco https://orcid.org/0000-0003-4361-4347

DOI:

https://doi.org/10.11121/ijocta.2023.1072

Keywords:

Irreversible port Hamiltonian systems, observer design, passivity, state estimation, gas piston system

Abstract

In this paper we address the state estimation problem of a particular class of irreversible port Hamiltonian systems (IPHS), which are assumed to be partially observed. Our main contribution consists to design an observer such that the augmented system (plant + observer) is strictly passive. Under some additional assumptions, a Lyapunov function is constructed to ensure the stability of the coupled system. Finally, the proposed methodology is applied to the gas piston system model. Some simulation results are also presented.

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Author Biographies

Saida Zenfari, Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco

obtained her bachelor's degree in applied mathematics from Chouaib Doukkali University, Morocco, in 2015. She received her Ph.D. in Applied mathematics from Chouaib Doukkali university in 2021. Her current research interests include linear and nonlinear control, port Hamiltonian systems, and passivity-based control.

Mohamed Laabissi, Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco

received the ”Doctorat de troisime cycle” degree in Mathematical Analysis from the Cadi Ayyad University of Marrakech, Morocco in 1995. He also received The ”Doctorat d’ Etat” degree in applied mathematics from the University Chouaib Doukkali of El Jadida, Morocco in 2001. He is currently a professor in the Department of mathematics at the University Chouaib Doukkali. His research interests are in infinite dimensional systems theory, positive systems, stabilization of semilinear systems, Analysis and control of tubular chemical reactors nonlinear models

Mohammed Elarbi Achhab, Department of Mathematics, Faculty of Sciences, University Chouaib Doukkali El Jadida, Morocco

received the Doctorat de troisieme cycle degree in Applied Mathematics from the University Mohamed V of Rabat, Morocco in 1985 and the Ph.D.degree in engineering sciences (applied mathematics) from the University of Louvain, Belgium in 1993. From 1985 to 1989, he was an Assistant Professor at the Department of Mathematics of the University of EL Jadida, Morocco. From 1990 to 1993, he was with the Department of Mechanical Engineering at the University of Louvain, Belgium. He has been a professor and a full professor of applied mathematics at the University Chouaib Doukkali of EL Jadida, Morocco, since 1993 and 1999, respectively. His current research interests include control theory, nonlinear systems, infinite dimensional systems, and applications to mechanical and chemical engineering problems

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