Observation of Nonlinear Differential-Algebraic Systems with Unknown Inputs

Francisco Javier Bejarano (1) , Wilfrid Perruquetti (2, 3, 4) , Thierry Floquet (2, 3, 4) , Gang Zheng (2, 4)

1 ESIME-UPT - Escuela Superior de Ingeniería Mecánica y Eléctrica - Unidad Profesional Ticomán
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Centrale Lille
4 NON-A - Non-Asymptotic estimation for online systems

A method to carried out the state estimation is proposed for a class of nonlinear systems with unknown inputs whose dynamics is governed by differential-algebraic equations (DAE). We achieve, under suitable conditions, to replace the original DAE for a system with differential equations only by using a zeroing manifold algorithm inducing a state space dimension reduction. Observability conditions can be checked using the original system parameters. The state estimation is done using a sliding mode high order differentiator.

Mots clés: Differential-Algebraic systems; observer design; sliding mode high order differentiation

Domaines: Informatique [cs]; Automatique

Francisco Javier Bejarano, Wilfrid Perruquetti, Thierry Floquet, Gang Zheng. Observation of Nonlinear Differential-Algebraic Systems with Unknown Inputs. IEEE Transactions on Automatic Control, 2014, 60 (7), pp.1957-1962. ⟨10.1109/TAC.2014.2363604⟩. ⟨hal-01075275⟩