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The sparse identification of nonlinear dynamics (SINDy) has been established as an effective technique to produce interpretable models of dynamical systems from time-resolved state data via sparse regression. However, to model parameterized…

Dynamical Systems · Mathematics 2024-05-15 Javier A. Lemus , Benjamin Herrmann

Unsteady aerodynamic models are necessary to accurately simulate forces and develop feedback controllers for wings in agile motion; however, these models are often high dimensional or incompatible with modern control techniques. Recently,…

Fluid Dynamics · Physics 2015-06-18 Steven L. Brunton , Scott T. M. Dawson , Clarence W. Rowley

Aeroelastic structures, from insect wings to wind turbine blades, experience transient unsteady aerodynamic loads that are coupled to their motion. Effective real-time control of flexible structures relies on accurate and efficient…

Fluid Dynamics · Physics 2022-07-14 Michelle Hickner , Urban Fasel , Aditya G. Nair , Bingni W. Brunton , Steven L. Brunton

Data-driven methods of model identification are able to discern governing dynamics of a system from data. Such methods are well suited to help us learn about systems with unpredictable evolution or systems with ambiguous governing dynamics…

Data Analysis, Statistics and Probability · Physics 2025-01-23 Gina Vasey , Daniel Messenger , David Bortz , Andrew Christlieb , Brian O'Shea

This work is concerned with uncertainty quantification in reduced-order dynamical system identification. Reduced-order models for system dynamics are ubiquitous in design and control applications and recent efforts focus on their…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Prem Ratan Mohan Ram , Ulrich Römer , Richard Semaan

Estimation of unsteady flow fields around flight vehicles may improve flow interactions and lead to enhanced vehicle performance. Although flow-field representations can be very high-dimensional, their dynamics can have low-order…

Fluid Dynamics · Physics 2023-03-23 John Graff , Albert Medina , Francis Lagor

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis of low-order models is well reflected in the recent successes of data-driven approaches such as Dynamic…

Dynamical Systems · Mathematics 2020-12-09 Peter Benner , Pawan Goyal , Jan Heiland , Igor Pontes Duff

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.…

Fluid Dynamics · Physics 2021-04-28 Nicola Fonzi , Steven L. Brunton , Urban Fasel

This paper proposes a data-driven framework to solve time-varying optimization problems associated with unknown linear dynamical systems. Making online control decisions to regulate a dynamical system to the solution of an optimization…

Optimization and Control · Mathematics 2021-09-08 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Identifying the intrinsic coordinates or modes of the dynamical systems is essential to understand, analyze, and characterize the underlying dynamical behaviors of complex systems. For nonlinear dynamical systems, this presents a critical…

Chaotic Dynamics · Physics 2025-01-27 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

We present a data-driven approach to efficiently approximate nonlinear transient dynamics in solid-state systems. Our proposed machine-learning model combines a dimensionality reduction stage with a nonlinear vector autoregression scheme.…

Computational Physics · Physics 2024-02-22 Stefan Meinecke , Felix Köster , Dominik Christiansen , Kathy Lüdge , Andreas Knorr , Malte Selig

Turbulence remains one of the last unresolved problems of classical physics and a major bottleneck to accurate flow prediction in climate, aerospace, and energy systems. Industrial simulations therefore rely on averaged representations of…

Fluid Dynamics · Physics 2026-05-18 Zhuoran Liu , Haochen Wang , Zhuolin Zhao , Heng Xiao

This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares

We present a novel data-driven distributionally robust Model Predictive Control formulation for unknown discrete-time linear time-invariant systems affected by unknown and possibly unbounded additive uncertainties. We use off-line collected…

Optimization and Control · Mathematics 2022-09-20 Francesco Micheli , Tyler Summers , John Lygeros

Discovering the governing equations of a dynamical system from observed trajectories provides deeper insight into its structure than mere prediction of future states. We present a data-driven approach to model discovery based on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Martin Brückmann , Babette Dellen , Uwe Jaekel

Turbulent flow over permeable interface is omnipresent featuring complex flow topology. In this work, a data driven, end to end machine learning model has been developed to model the turbulent flow in porous media. For the same, we have…

Fluid Dynamics · Physics 2023-11-28 Xu Chu , Sandeep Pandey

We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu