Formulas for Data-Driven Control: Stabilization, Optimality, and Robustness
Claudio De Persis, Pietro Tesi
Florence Research (University of Florence) (2020)
10.1109/tac.2019.2959924
Abstract
In a paper by Willems et al., it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems that paves the way to solve important control problems using data-dependent linear matrix inequalities only. The result is remarkable in that no explicit system's matrices identification is required. The examples of control problems we solve include the state and output feedback stabilization, and the linear quadratic regulation problem. We also discuss robustness to noise-corrupted measurements and show how the approach can be used to stabilize unstable equilibria of nonlinear systems.
Topics
Field: Engineering · Subfield: Control and Systems Engineering
Keywords
Robustness (evolution),Control theory (sociology),Linear system,Nonlinear system,Parametrization (atmospheric modeling),Robust control,Linear-quadratic-Gaussian control,Quadratic equation,Computer science,Output feedback
Citations by Year
| 2026 | 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 |
|---|---|---|---|---|---|---|---|
| 135 | 232 | 189 | 177 | 117 | 99 | 47 | 3 |
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