Complements to full order observer design for linear systems with unknown inputs

Mohamed Darouach (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This note completes the obtained results in IEEE Transactions on Automatic Control (vol AC-39, no 3, March, pp. 606-609, 1994). It presents a full-order observers for linear systems with unknown inputs in the state and in the measurement equations. It gives a more general approach for the observers design than that presented in IEEE Transactions on Automatic Control (vol AC-39, no 3, March, pp. 606-609, 1994) and it shows that all the obtained results are independent of the choice of the generalized inverses considered in the observers design . Continuous and discrete time systems are considered.

Mots clés: Full order observer; Linear systems; Unknown input; Stability; Existence conditions; Strong detectability

Domaines: Automatique / Robotique

Mohamed Darouach. Complements to full order observer design for linear systems with unknown inputs. Applied Mathematics Letters, 2009, 22 (7), pp.1107-1111. ⟨10.1016/j.aml.2008.11.004⟩. ⟨hal-00413700⟩