170 citations · 301 across the 10 of their papers we have counts for
11 papers
Data-driven modeling of the regular and chaotic dynamics of an inverted flag from experiments
Zhenwei Xu, Bálint Kaszás, Mattia Cenedese +3
We use video footage of a water tunnel experiment to construct a two-dimensional reduced-order model of the flapping dynamics of an inverted flag in uniform flow. The model is obta…
Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems
Leonardo Bettini, Mattia Cenedese, George Haller
We develop a model reduction technique for non-smooth dynamical systems using spectral submanifolds. Specifically, we construct low-dimensional, sparse, nonlinear and non-smooth mo…
Data-Assisted Non-Intrusive Model Reduction for Forced Nonlinear Finite Elements Models
Mattia Cenedese, Jacopo Marconi, George Haller +1
Spectral submanifolds (SSMs) have emerged as accurate and predictive model reduction tools for dynamical systems defined either by equations or data sets. While finite-elements (FE…
Robust Nonlinear Reduced-Order Model Predictive Control
John Irvin Alora, Luis A. Pabon, Johannes Köhler +5
Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time. While reduced-order models (ROMs) are frequently…
Data-Driven Spectral Submanifold Reduction for Nonlinear Optimal Control of High-Dimensional Robots
John Irvin Alora, Mattia Cenedese, Edward Schmerling +2
Modeling and control of high-dimensional, nonlinear robotic systems remains a challenging task. While various model- and learning-based approaches have been proposed to address the…
Fast data-driven model reduction for nonlinear dynamical systems
Joar Axås, Mattia Cenedese, George Haller
We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). We use observed data to locate…
Dynamics-based machine learning of transitions in Couette flow
Bálint Kaszás, Mattia Cenedese, George Haller
We derive low-dimensional, data-driven models for transitions among exact coherent states (ECSs) in one of the most studied canonical shear flows, the plane Couette flow. These one…
Data-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds
Mattia Cenedese, Joar Axås, Bastian Bäuerlein +2
We develop a methodology to construct low-dimensional predictive models from data sets representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic…
Data-driven Nonlinear Model Reduction to Spectral Submanifolds in Mechanical Systems
Mattia Cenedese, Joar Axås, Haocheng Yang +2
While data-driven model reduction techniques are well-established for linearizable mechanical systems, general approaches to reducing non-linearizable systems with multiple coexist…
Stability of Forced-Damped Response in Mechanical Systems from a Melnikov Analysis
Mattia Cenedese, George Haller
Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent…
How do Conservative Backbone Curves Perturb into Forced Responses? A Melnikov Function Analysis
Mattia Cenedese, George Haller
Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic response in a close vicinity of certain periodic orbits of their conservative limit. Specific…