Fault diagnosis for a class of descriptor linear parameter‐varying systems | Zendy

AstorgaZaragoza C. M. | Zendy; Theilliol D. | Zendy; Ponsart J. C. | Zendy; Rodrigues M. | Zendy

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Fault diagnosis for a class of descriptor linear parameter‐varying systems

Author(s) -

AstorgaZaragoza C. M.,

Theilliol D.,

Ponsart J. C.,

Rodrigues M.

Publication year - 2012

Publication title -

international journal of adaptive control and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.73

H-Index - 66

eISSN - 1099-1115

pISSN - 0890-6327

DOI - 10.1002/acs.1259

Subject(s) - observer (physics) , control theory (sociology) , fault (geology) , linear matrix inequality , lyapunov function , mathematics , stability (learning theory) , estimation theory , class (philosophy) , linear system , fault detection and isolation , computer science , matrix (chemical analysis) , work (physics) , mathematical optimization , nonlinear system , algorithm , engineering , artificial intelligence , control (management) , machine learning , mathematical analysis , physics , materials science , quantum mechanics , seismology , actuator , composite material , geology , mechanical engineering

SUMMARY In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a linear matrix inequalities formulation. The fault estimation scheme is evaluated through numerical simulations. Copyright © 2011 John Wiley & Sons, Ltd.

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