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

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-bas...

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Bibliographic Details
Main Authors: Robinson, Elinirina I., Marzat, Julien, Raïssi, Tarek
Format: Conference Proceeding
Language:English
Subjects:
cooperative systems
discrete-time systems
Interval estimation
state transformation
unknown input observer
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Summary: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.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2017.08.717