Title
SINDy with Control: A Tutorial
Abstract
Many dynamical systems of interest are nonlinear, with examples in turbulence, epidemiology, neuroscience, and finance, making them difficult to control using linear approaches. Model predictive control (MPC) is a powerful model-based optimization technique that enables the control of such nonlinear systems with constraints. However, modern systems often lack computationally tractable models, motivating the use of system identification techniques to learn accurate and efficient models for real-time control. In this tutorial article, we review emerging data-driven methods for model discovery and how they are used for nonlinear MPC. In particular, we focus on the sparse identification of nonlinear dynamics (SINDy) algorithm and show how it may be used with MPC on an infectious disease control example. We compare the performance against MPC based on a linear dynamic mode decomposition (DMD) model. Code is provided to run the tutorial examples and may be modified to extend this data-driven control framework to arbitrary nonlinear systems.
Year
DOI
Venue
2021
10.1109/CDC45484.2021.9683120
2021 60th IEEE Conference on Decision and Control (CDC)
Keywords
DocType
ISSN
Model predictive control,data-driven models,machine learning,system identification,SINDy,DMD
Conference
0743-1546
ISBN
Citations 
PageRank 
978-1-6654-3660-1
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Urban Fasel100.34
Eurika Kaiser211.03
J. Nathan Kutz322547.13
Bingni W. Brunton420.76
Steven L. Brunton500.34