Internal models in control, bioengineering, and neuroscience

M Bin, J Huang, A Isidori, L Marconi… - Annual Review of …, 2022 - annualreviews.org
Internal models are nowadays customarily used in different domains of science and
engineering to describe how living organisms or artificial computational units embed their …

Repetitive control for Lur'e-type systems: application to mechanical ventilation

J Reinders, M Giaccagli, B Hunnekens… - … on Control Systems …, 2023 - ieeexplore.ieee.org
Repetitive control (RC) has shown to achieve superior rejection of periodic disturbances.
Many nonlinear systems are subject to repeating disturbances. The aim of this article is to …

Incremental stabilization of cascade nonlinear systems and harmonic regulation: a forwarding-based design

M Giaccagli, D Astolfi, V Andrieu… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this work, we address the problem of designing a control law for a system in feedforward
form to be globally incrementally exponentially stable. To do that, we develop an …

[HTML][HTML] Exponential output tracking via a saturated RLC for a class of nonlinear systems under PSD of periodic references

CM Verrelli - Systems & Control Letters, 2024 - Elsevier
This paper considers the same class of zero-relative-degree nonlinear systems for which a
saturated Repetitive Learning Control (RLC) has been recently shown to ensure exponential …

Nonlinear robust periodic output regulation of minimum phase systems

D Astolfi, L Praly, L Marconi - Mathematics of Control, Signals, and …, 2022 - Springer
In linear system theory, it is a well-known fact that a regulator given by the cascade of an
oscillatory dynamics, driven by some regulated variables, and of a stabiliser stabilising the …

Harmonic internal models for structurally robust periodic output regulation

D Astolfi, L Praly, L Marconi - Systems & Control Letters, 2022 - Elsevier
This note deals with the problem of output regulation for nonlinear systems in presence of
periodic exogenous signals. We investigate the asymptotic properties of a controller given …

On the role of dual sylvester and invariance equations in systems and control

D Astolfi, JW Simpson-Porco, G Scarciotti - IFAC-PapersOnLine, 2024 - Elsevier
Sylvester equations, their duals, and their nonlinear generalizations arise in a wide variety of
systems and control problems. Here we provide an overview of classical and recent …

Robust internal models with a star-shaped attractor are linear

M Bin, D Astolfi, L Marconi - Automatica, 2024 - Elsevier
In linear regulation theory, it is well-known that embedding in the control loop a suitable
internal model of the exogenous disturbances and references permits to achieve perfect …

Robust output regulation of a class of uncertain nonlinear minimum phase systems perturbed by unknown external disturbances

Y Gong, F Zhu, Y Wang - European Journal of Control, 2024 - Elsevier
This paper addresses the problem of robust output regulation for uncertain nonlinear
minimum phase systems affected by an unknown external disturbance. We present a novel …

Robust output regulation for uncertain nonlinear minimum phase systems under unknown control direction

Y Gong, F Zhu, Y Wang - Systems & Control Letters, 2024 - Elsevier
This paper investigates the problem of disturbance rejection for SISO uncertain nonlinear
minimum phase systems perturbed by an unmeasurable external disturbance under the …