Closed-Loop Koopman Operator Approximation

arXiv:2303.15318v3 Announce Type: replace-cross
Abstract: This paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as an infinite-dimensional linear system by viewing it in terms of an infinite set of lifting functions. A finite-dimensional approximation of the Koopman operator can be identified from data by choosing a finite subset of lifting functions and solving a regression problem in the lifted space. Existing …

abstract approximation arxiv cs.lg cs.sy eess.sy feedback functions identify linear loop math.ds paper set terms type