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Fault diagnosis based on sliding mode observer for LPV descriptor systems
Author(s) -
Hamdi Habib,
Rodrigues Mickael,
Mechmeche Chokri,
Benhadj Braiek Naceur
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2022
Subject(s) - control theory (sociology) , actuator , observer (physics) , nonlinear system , bounded function , convex optimization , fault (geology) , linear matrix inequality , mode (computer interface) , engineering , regular polygon , computer science , mathematics , mathematical optimization , control (management) , artificial intelligence , mathematical analysis , physics , geometry , quantum mechanics , seismology , geology , operating system , electrical engineering
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.