Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:A6L-B
Session:
Number:A6L-B-04
Matched Input Disturbance Rejection for Nonlinear Systems in the Koopman Framework
Bart Kieboom , Matin Jafarian,
pp.202-203
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
We study the problem of output regulation for a class of nonlinear systems experiencing matched input disturbances, with the disturbance signal generated by an autonomous dynamical system. Using the Koopman operator, the nonlinear dynamical system is represented as a bilinear dynamical system. Inspired by the linear output regulation problem, a linear dynamic error feedback controller is designed for the system. With the aid of a Lyapunov-based stability analysis, we characterize a set of initial conditions for which the output is regulated