TY - JOUR
T1 - Diagnosis for a class of non-differentially flat and Liouvillian systems
AU - Martínez-Guerra, R.
AU - González-Galan, R.
AU - Luviano-Juárez, Alberto
AU - Cruz-Victoriaß, J.
PY - 2007/6
Y1 - 2007/6
N2 - In this paper, we tackle the diagnosis problem for non-diferentially flat and Liouvillian systems by using the concept of differential transcendence degree of a differential field extension, as well as, we consider the algebraic observability concept of the variable which models the failure presence for the solvability of the diagnosis problem. The construction of a reduced-order uncertainty observer to estimate the fault variable is the main ingredient in our approach. Finally, we present a simulation example dealing with a ship in smooth landing to illustrate the effectiveness of the suggested approach.
AB - In this paper, we tackle the diagnosis problem for non-diferentially flat and Liouvillian systems by using the concept of differential transcendence degree of a differential field extension, as well as, we consider the algebraic observability concept of the variable which models the failure presence for the solvability of the diagnosis problem. The construction of a reduced-order uncertainty observer to estimate the fault variable is the main ingredient in our approach. Finally, we present a simulation example dealing with a ship in smooth landing to illustrate the effectiveness of the suggested approach.
UR - http://www.scopus.com/inward/record.url?scp=39549088528&partnerID=8YFLogxK
U2 - 10.1093/imamci/dnl014
DO - 10.1093/imamci/dnl014
M3 - Artículo
SN - 0265-0754
VL - 24
SP - 177
EP - 195
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 2
ER -