Title
Immersion-based model predictive control of constrained nonlinear systems: Polyflow approximation
Abstract
In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and computationally expensive or even intractable. In this paper, we propose to circumvent this issue by computing a high-dimensional linear embedding of discrete-time nonlinear systems. The computation relies on an algebraic condition related to the immersibility property of nonlinear systems and can be implemented offline. With the high-dimensional linear model, we then define and solve a convex online MPC problem. We also provide an interpretation of our approach under the Koopman operator framework.
Year
DOI
Venue
2021
10.23919/ECC54610.2021.9655233
2021 EUROPEAN CONTROL CONFERENCE (ECC)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Zheming Wang1308.12
Raphaël M. Jungers201.35