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Paper details
Number 2 - June 2015
Volume 25 - 2015
Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor
Francisco-Ronay López-Estrada, Jean-Christophe Ponsart, Didier Theilliol, Carlos-Manuel Astorga-Zaragoza, Jorge-Luis Camas-Anzueto
Abstract
This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer
for descriptor-linear parameter varying (D-LPV) systems. In contrast to where the scheduling functions depend on some
measurable time varying state, the proposed method considers the scheduling function depending on an unmeasurable state
vector. In order to isolate, detect and estimate sensor faults, an augmented system is constructed by considering faults to be
auxiliary state vectors. An unknown input LPV observer is designed to estimate simultaneously system states and faults.
Sufficient conditions to guarantee stability and robustness against the uncertainty provided by the unmeasurable scheduling
functions and the influence of disturbances are synthesized via a linear matrix inequality (LMI) formulation by considering
H∞ and Lyapunov approaches. The performances of the proposed method are illustrated through the application to an anaerobic bioreactor model.
Keywords
fault diagnosis, fault estimation, LPV systems, observer design, descriptor system