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Controller Design for Robust Invariance From Noisy Data

delete2023-01-01
delete14
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OA
AI
A
Andrea Bisoffi *
C
Claudio De Persis
P
Pietro Tesi
DOI:10.1109/TAC.2022.3170373delete
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Abstract

Abstract

En 中文
For an unknown linear system, starting from noisy input-state data collected during a finite-length experiment, we directly design a linear feedback controller that guarantees robust invariance of a given polyhedral set of the state in the presence of disturbances. The main result is a necessary and sufficient condition for the existence of such a controller, and amounts to the solution of a linear program. The benefits of large and rich datasets for the solution of the problem are discussed. We numerically illustrate the method on a simplified platoon of two vehicles.
Keywords:
Control design
control system synthesis
data collection
data-driven control
linear feedback control systems
linear programming
linear systems
polyhedron
robustness
robust control
robust invariance
set invariance
state feedback
uncertain systems

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
university of florence
Scholars:
4.2W
Papers: 3.1W
Citations: 42
U
University of Groningen
Scholars:
4.4W
Papers: 4.3W
Citations: 5.9W