Fault diagnosis based on sliding mode observer for LPV descriptor systems
Résumé
This paper considers the problem of fault detection and reconstruction of actuator
faults for linear parameter varying descriptor systems. A polytopic sliding
mode observer (PSMO) is constructed to achieve simultaneous reconstruction
of LPV polytopic descriptor system states and actuator faults. Sufficient conditions
for the existence and design algorithm of the proposed polytopic sliding
mode observer are provided. In addition, the design of the PSMO is formulated
in terms of linear matrix inequalities that can be suitably solved using convex
optimization techniques. This PSMO can force the output estimation error to
converge to zero in a finite time when the actuators faults are bounded through
the reinjection of the output estimation error via a nonlinear switching term.
The effectiveness of the design technique is illustrated through a simulation of
an anaerobic bioreactor.