Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …
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 …
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
Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …
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 …
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 …
unknown continuous-time linear systems affected by disturbances. By an event, we mean …
Data-based control of feedback linearizable systems
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 …
input–multi-output discrete-time feedback linearizable nonlinear systems, thus providing a …
Gaussian inference for data-driven state-feedback design of nonlinear systems
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 …
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 …
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 …
based interpolation. Under some assumptions on the system dynamics, kernel-based …
[HTML][HTML] Data-driven stabilization of switched and constrained linear systems
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 …
continuous input of an unknown switched linear system, given past noisy input-state …