Fixed-Time Output Stabilization and Fixed-Time Estimation of a Chain of Integrators

Francisco Lopez-Ramirez 1 Denis Efimov 1 Andrey Polyakov 1 Wilfrid Perruquetti 2
1 NON-A-POST - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe
2 Ecole Centrale de Lille
Abstract : A solution to the problem of global fixed-time output stabilization and estimation of a chain of integrators is proposed. A nonlinear scheme comprising a state feedback controller and a dynamic observer are designed in order to guarantee both fixed-time estimation and fixed-time control. Robustness with respect to exogenous disturbances and measurement noises is established and a parameter optimization algorithm is provided. The performance of the obtained control and estimation algorithms are illustrated by numeric experiments.
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Submitted on : Monday, June 18, 2018 - 10:31:45 AM
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Francisco Lopez-Ramirez, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Fixed-Time Output Stabilization and Fixed-Time Estimation of a Chain of Integrators. International Journal of Robust and Nonlinear Control, Wiley, In press. ⟨hal-01817585⟩

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