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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
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : 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.
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Francisco Javier Bejarano, Wilfrid Perruquetti, Thierry Floquet, Gang Zheng. Observation of Nonlinear Differential-Algebraic Systems with Unknown Inputs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2014, 60 (7), pp.1957-1962. ⟨10.1109/TAC.2014.2363604⟩. ⟨hal-01075275⟩

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