TY - JOUR
T1 - Observation of Nonlinear Differential-Algebraic Systems with Unknown Inputs
AU - Bejarano, Francisco Javier
AU - Perruquetti, Wilfrid
AU - Floquet, Thierry
AU - Zheng, Gang
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - A method to carry 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.
AB - A method to carry 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.
KW - Differential-Algebraic systems
KW - Observer design
KW - sliding mode high order differentiation
UR - http://www.scopus.com/inward/record.url?scp=84934299866&partnerID=8YFLogxK
U2 - 10.1109/TAC.2014.2363604
DO - 10.1109/TAC.2014.2363604
M3 - Artículo
SN - 0018-9286
VL - 60
SP - 1957
EP - 1962
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 7
M1 - 6924733
ER -