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Journal Articles European Journal of Control Year : 2024

Set-valued state estimators for a class of uncertain discrete-time nonlinear systems

Abstract

Set-membership state estimation problem for a certain class of discrete-time nonlinear systems is tackled in this work. First, this problem is formulated as a reachability analysis problem. Then, to avoid the wrapping effect, explicit expression of the general solution of this class of systems is used to design new set-valued state estimation schemes. Moreover, for practical considerations, two periodically re-initialized algorithms based on both interval analysis and zonotope computation are introduced. The merit of the proposed approach is illustrated on a numerical example and its performance is compared to that of other methods borrowed from the literature.
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Dates and versions

hal-04597178 , version 1 (01-06-2024)

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Nacim Meslem, Youdao Ma, Zhenhua Wang, Tarek Raïssi. Set-valued state estimators for a class of uncertain discrete-time nonlinear systems. European Journal of Control, 2024, 78 (July), pp.101004. ⟨10.1016/j.ejcon.2024.101004⟩. ⟨hal-04597178⟩
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