Interval Estimation for Discrete-Time Linear Parameter-Varying System with Unknown Inputs

This paper proposes a new interval observer for joint estimation of the state and unknown inputs of a discrete-time linear parameter-varying (LPV) system with an unmeasurable parameter vector. This system is assumed to be subject to unknown inputs and unknown but bounded disturbances and measurement...

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Bibliographic Details
Published inProceedings of the IEEE Conference on Decision & Control pp. 4002 - 4007
Main Authors Chevet, Thomas, Dinh, Thach Ngoc, Marzat, Julien, Raissi, Tarek
Format Conference Proceeding
LanguageEnglish
Published IEEE 14.12.2021
Subjects
Conferences
Discrete-time systems
Estimation
Interval observer
Linear matrix inequalities
Linear parameter-varying system
Noise measurement
Numerical simulation
Observers
Perturbation methods
Unknown input observer
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ISSN2576-2370
DOI10.1109/CDC45484.2021.9683335

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Summary:This paper proposes a new interval observer for joint estimation of the state and unknown inputs of a discrete-time linear parameter-varying (LPV) system with an unmeasurable parameter vector. This system is assumed to be subject to unknown inputs and unknown but bounded disturbances and measurement noise, while the parameter- varying matrices are elementwise bounded. Considering the unknown inputs as auxiliary states, the dynamics are rewritten as discrete-time LPV descriptor dynamics. A new structure of interval observer is then used, providing more degrees of freedom than the classical change of coordinates-based structure. The observer gains are computed by solving linear matrix inequalities derived from cooperativity condition and L ∞ norm. Numerical simulations are run to show the efficiency of the proposed observer.
ISSN:2576-2370
DOI:10.1109/CDC45484.2021.9683335