Interval observer design for unknown input estimation of linear time-invariant discrete-time systems

Elinirina Robinson 1 Julien Marzat 2 Tarek Raissi 3
1 DTIS, ONERA, Université Paris Saclay [Palaiseau]
2 ONERA - The French Aerospace Lab [Palaiseau]
3 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : In this paper, the problem of joint state and unknown input estimation for linear time-invariant (LTI) discrete-time systems using interval observer is addressed. This problem has already been studied in the context of continuous-time systems. To the best of our knowledge, unknown input interval-based estimation for discrete-time systems has not been considered in the litterature. Assuming that the measurement noise and disturbances are bounded, lower and upper bounds are first computed for the unmeasured state and then for the unknown inputs. The results obtained with a numerical example highlight the efficiency of the method.
Keywords : Interval estimation discrete-time systems unknown input observer state transformation cooperative systems
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Conference papers
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TDS-MACS | CEDRIC-CNAM | CNAM | UNIV-PARIS-SACLAY | UNIV-HESAM

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Elinirina Robinson, Julien Marzat, Tarek Raissi. Interval observer design for unknown input estimation of linear time-invariant discrete-time systems. 20th IFAC World Congress, Jul 2017, Toulouse, France. pp.4021 - 4026, ⟨10.1016/j.ifacol.2017.08.717⟩. ⟨hal-02470298⟩

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