Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey

T Martin, TB Schön, F Allgöwer - Annual Reviews in Control, 2023 - Elsevier
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …

[HTML][HTML] Learning controllers for nonlinear systems from data

C De Persis, P Tesi - Annual Reviews in Control, 2023 - Elsevier
This article provides an overview of a new approach to designing controllers for nonlinear
systems using data-driven control. Data-driven control is an important area of research in …

[HTML][HTML] Neural operators of backstepping controller and observer gain functions for reaction–diffusion PDEs

M Krstic, L Bhan, Y Shi - Automatica, 2024 - Elsevier
Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …

[HTML][HTML] On data-driven stabilization of systems with nonlinearities satisfying quadratic constraints

A Luppi, C De Persis, P Tesi - Systems & Control Letters, 2022 - Elsevier
In this paper, we directly design a state feedback controller that stabilizes a class of
uncertain nonlinear systems solely based on input-state data collected from a finite-length …

Event-triggered control from data

C De Persis, R Postoyan, P Tesi - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We present a data-based approach to design event-triggered state-feedback controllers for
unknown continuous-time linear systems affected by disturbances. By an event, we mean …

Data-based control of feedback linearizable systems

M Alsalti, VG Lopez, J Berberich… - … on Automatic Control, 2023 - ieeexplore.ieee.org
In this article, we present an extension of Willems' Fundamental Lemma to the class of multi-
input–multi-output discrete-time feedback linearizable nonlinear systems, thus providing a …

Gaussian inference for data-driven state-feedback design of nonlinear systems

T Martin, TB Schön, F Allgöwer - IFAC-PapersOnLine, 2023 - Elsevier
Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem
as it usually calls for nonconvex optimization and often requires the knowledge of the true …

Data-driven stabilizer design and closed-loop analysis of general nonlinear systems via Taylor's expansion

M Guo, C De Persis, P Tesi - arXiv preprint arXiv:2209.01071, 2022 - arxiv.org
For data-driven control of nonlinear systems, the basis functions characterizing the dynamics
are usually essential. In existing works, the basis functions are often carefully chosen based …

Learning controllers from data via kernel-based interpolation

Z Hu, C De Persis, P Tesi - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
We propose a data-driven control design method for nonlinear systems that builds on kernel-
based interpolation. Under some assumptions on the system dynamics, kernel-based …

[HTML][HTML] Data-driven stabilization of switched and constrained linear systems

M Bianchi, S Grammatico, J Cortés - Automatica, 2025 - Elsevier
We consider the design of state feedback control laws for both the switching signal and the
continuous input of an unknown switched linear system, given past noisy input-state …