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Journal Articles IEEE Transactions on Automatic Control Year : 2021

Interval impulsive observer for linear systems with aperiodic discrete measurements

Abstract

This paper addresses the modeling and the design of an interval state observer for a linear time-invariant plant in presence of sporadically available measurements corrupted by unknown-but-bounded errors and noise. The interval observer is modelled as an impulsive system where an impulsive correction is made whenever a measurement is available. The nonnegativity of the observation error between two successive measurements is preserved by applying the internal positivity based on the Müller's existence theorem, while at measurement times a linear programming constraint is added. A new methodology for designing the discrete-time observer gain is proposed that guarantees both nonnegativity and stability of the estimation error. The synthesis is performed by solving a set of Bilinear Matrix Inequalities (BMIs). The theoretical result is supported by numerical simulation. Index Terms Interval observers, LTI systems, sparse output measurements, hybrid system.
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Dates and versions

hal-02517009 , version 1 (24-03-2020)

Identifiers

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Djahid Rabehi, Nacim Meslem, Adnen El Amraoui, Nacim Ramdani. Interval impulsive observer for linear systems with aperiodic discrete measurements. IEEE Transactions on Automatic Control, 2021, 66 (11), pp.5407 - 5413. ⟨10.1109/TAC.2020.3046126⟩. ⟨hal-02517009⟩
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