Estimation problems for a class of impulsive systems

Lotfi Belkoura 1, 2 Thierry Floquet 1, 2 Kaouther Ibn Taarit 3, 1, 4 Wilfrid Perruquetti 1, 2 Yuri Orlov 5
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper deals with on-line identification of continuous-time systems subject to impulsive terms. Using a distribution framework, a scheme is proposed in order to annihilate singular terms in differential equations representing a class of impulsive systems. As a result, an on-line estimation of unknown parameters is provided, regardless of the switching times nor of the impulse rules. Numerical simulations of physical processes with noisy data are illustrating our methodology and results.
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Lotfi Belkoura, Thierry Floquet, Kaouther Ibn Taarit, Wilfrid Perruquetti, Yuri Orlov. Estimation problems for a class of impulsive systems. International Journal of Robust and Nonlinear Control, Wiley, 2011, 21 (10), pp.1066-1079. ⟨inria-00504941⟩

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