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Actuator fault diagnosis for flat systems: A constraint satisfaction approach

100%
Seydou R., Raissi T., Zolghadri A., Efimov D.
International Journal of Applied Mathematics and Computer Science
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2013
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tom 23
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nr 1
171-181
EN
This paper describes a robust set-membership-based Fault Detection and Isolation (FDI) technique for a particular class of nonlinear systems, the so-called flat systems. The proposed strategy consists in checking if the expected input value belongs to an estimated feasible set computed using the system model and the derivatives of the measured output vector. The output derivatives are computed using a numerical differentiator. The set-membership estimator design for the input vector takes into account the measurement noise thereby making the consistency test robust. The performances of the proposed strategy are illustrated through a three-tank system simulation affected by actuator faults.
2
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Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization

75%
Aranda-Bricaire E., Moog C. H., Pomet J.-B.
Banach Center Publications
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1995
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tom 32
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nr 1
19-33
EN
We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.
3
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A differential geometric setting for dynamic equivalence and dynamic linearization

75%
Pomet J.-B.
Banach Center Publications
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1995
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tom 32
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nr 1
319-339
EN
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
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