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Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2024

Tight interval state estimate for discrete‐time descriptor linear systems

Résumé

Summary In this work, two state estimation methods are proposed for a class of discrete‐time descriptor linear systems subject to bounded uncertainties. First, we propose set‐valued estimator algorithm using symmetric boxes to compute rigorous bounds of the system states. The observer gains are calculated using norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed estimator. Second, to obtain tighter state enclosures, zonotopic set computation are developed instead of interval analysis to design a new set‐valued state estimation algorithm. The performances of the proposed state estimation approaches are highlighted on different illustrative examples.
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Dates et versions

hal-04597176 , version 1 (01-06-2024)

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Rihab Lamouchi, Nacim Meslem, Tarek Raïssi. Tight interval state estimate for discrete‐time descriptor linear systems. International Journal of Robust and Nonlinear Control, 2024, 34 (8), pp.5306-5328. ⟨10.1002/rnc.7265⟩. ⟨hal-04597176⟩
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