Behaviors, trajectories and data: A novel perspective on the design of unknown-input observers

We propose a novel perspective, based on Willems' "behavior theory", on the design of an unknown-input observer for a given linear time-invariant discrete-time state-space model, with unknown disturbances affecting both the state and the output equations. The problem is first addresse...

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Bibliographic Details
Main Authors: Disaro, Giorgia, Valcher, Maria Elena
Format: Conference Proceeding
Language:English
Subjects:
behavior theory
Control systems
Data models
data-driven methods
Image representation
Kernel
Linear systems
Mathematical models
Observers
State-space methods
Sufficient conditions
Trajectory
UIOs
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Summary:We propose a novel perspective, based on Willems' "behavior theory", on the design of an unknown-input observer for a given linear time-invariant discrete-time state-space model, with unknown disturbances affecting both the state and the output equations. The problem is first addressed assuming that the original system model is known, and later assuming that it is not, but historical data satisfying a certain assumption are available. In both cases, fundamental concepts in behavior theory, as the projection of a behavior, kernel and image representations, provide quite powerful tools to determine necessary and sufficient conditions for the existence of an unknown-input observer (UIO), as well as algorithms to design one of them, if it exists.
ISSN:2473-5698
DOI:10.1109/ICSTCC62912.2024.10744651