A note on interval observer design for unknown input estimation

This paper addresses the problem of interval observer design for unknown input estimation in linear time-invariant systems. Although the problem of unknown input estimation has been widely studied in the literature, the design of joint state and unknown input observers has not been considered within...

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Bibliographic Details
Published in:International journal of control 2016-01, Vol.89 (1), p.25-37
Main Authors: Gucik-Derigny, D., Raïssi, T., Zolghadri, A.
Format: Article
Language:English
Subjects:
Automatic Control Engineering
Computer Science
Computer simulation
Design engineering
Disturbances
interval estimation
Intervals
Mathematical models
Noise
Noise measurement
state transformation
unknown input observer
Upper bounds
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Summary:This paper addresses the problem of interval observer design for unknown input estimation in linear time-invariant systems. Although the problem of unknown input estimation has been widely studied in the literature, the design of joint state and unknown input observers has not been considered within a set-membership context. While conventional interval observers could be used to propagate with some additional conservatism, unknown inputs by considering them as disturbances, the proposed approach allows their estimation. Under the assumption that the measurement noise and the disturbances are bounded, lower and upper bounds for the unmeasured state and unknown inputs are computed. Numerical simulations are presented to show the efficiency of the proposed approach.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2015.1057230