THESIS DEFENSE OF Irrhyl Mohammedi - JULY 15, 2024

Irrhyl Mohammedi will defend her thesis on July 15th 2024 at 9:30 pm in the Amphi JP. DOM from the IMS laboratory on the subject : “Contribution to the robust interval estimation of multivariable LTI and LPV systems: Application to aerospace systems”.

The work of this thesis aims at developing new approaches based on a new particular class of state estimators, the so-called interval or ensemble filters.
Like the class of interval observers, the objective is to estimate, in a guaranteed way, the upper and lower bounds of the states of a system, at each time instant.
The proposed approach is based on the theory of monotonic systems and on the knowledge of the domain of membership, supposedly bounded, of the uncertainties of the system and disturbances, such as noise and bias of sensors, etc.
The key element of the proposed approach is to use a filter structure, rather than an observer-based structure.
The synthesis of the filter parameters is based on the resolution of a constrained optimization problem of linear and bilinear matrix inequalities (LMI and BMI) allowing to guarantee simultaneously the existence conditions of the filter as well as a performance level, either in an energy context, or in an amplitude context or in a mixed energy/amplitude context.
The proposed synthesis methodology is illustrated on an academic example and is compared with other existing methods in the literature. Finally, the methodology is applied to the case of attitude and acceleration control of a satellite, under realistic simulation conditions.”