Research Activities

Research Interest:

• State estimation and observer design for nonlinear systems

• Time-delay systems

• Finite-time estimation/Stability

Research Experience:

• Ph.D. Research Project (Dec 2018 - Dec 2022)

Mouloud Mammeri University of Tizi Ouzou (UMMTO), Algeria 

Title: On Estimation and Observer Design for Nonlinear Systems: Theory and Application.

The work conducted in this thesis contributes to the state of the art on observer design for nonlinear systems. The main objective is to design a high-gain like observer for a class of nonlinear systems with delayed output measurements. To overcome some limitations of the standard-high gain observer and enhance its time response, two high-gain like observer approaches have been proposed: the HG/LMI observer and the prescribed-time high-gain observer. In addition, an application of the proposed approaches to estimate the water levels in Coupled Tanks plant is proposed. Numerical simulations are provided to show the effectiveness of the proposed observers.

Keywords: Nonlinear systems, high-gain observer, delayed output measurements, linear matrix inequalities,

prescribed-time stability.

• Visiting Student to EMANG Estimation Modeling and Analysis Group (Oct 2019 - Oct 2021)

King Abdullah University of Science and Technology (KAUST), KSA                                                 

During my internship, my research was mainly focused on designing high-gain-like observers for nonlinear systems in the presence of a delay in the measured output. The theoretical results were applied to estimate the water levels in the Coupled-Tanks plant. Additionally, I have worked on other side projects about modulating function-based methods for state estimation,  related to courses I have attended et mentored by Prof. Laleg-Kirati.

Advisor: Taous-Meriem Laleg-Kirati, Associate professor, KAUST

• MSc Research Project (Jan 2018 - July 2018)

Mouloud Mammeri University of Tizi Ouzou (UMMTO), Algeria 

Title: Study of a reaction-diffusion system modeling the spread of an infectious disease.

This thesis is devoted to the study of a system of quasilinear reaction-diffusion equations modeling the spread of an infectious disease within a population. We showed the local existence of a positive solution and we have established necessary a prior estimates in order to show its global existence.  Then, we studied the asymptotic behavior, in time, of the solution.

Key words: reaction-diffusion system, PDE, positivity, uniqueness, asymptotic stability, semigroup, dynamical system.

Review Activities :

• Automatica 

• IEEE Systems Journal

• International Journal of Robust and Nonlinear Control

• Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

• Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering

• IEEE Conference on Decision and Control CDC 2021, 2022

• International Symposium on Mathematical Theory of Networks and Systems

Teaching Experience:

• Temporary Lecturer (Jan 2023 - April 2023)

Department of Mathematics, Mouloud Mammeri University of Tizi Ouzou (UMMTO)

• Substitute Teacher in Mathematical Analysis (Nov 2018 - June 2019)

Department of Mathematics and Computing, Tamda Campus, Mouloud Mammeri University of Tizi Ouzou (UMMTO)