Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation
Optimization and Control
2019-12-11 v1 Systems and Control
Dynamical Systems
Abstract
The solution to the nonlinear output regulation problem requires one to solve a first order PDE, known as the Francis-Byrnes-Isidori (FBI) equations. In this paper we propose a method to compute approximate solutions to the FBI equations when the zero dynamics of the plant are hyperbolic and the exosystem is two-dimensional. With our method we are able to produce approximations that converge uniformly to the true solution. Our method relies on the periodic nature of two-dimensional analytic center manifolds.
Keywords
Cite
@article{arxiv.1106.5815,
title = {Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation},
author = {Cesar O. Aguilar and Arthur J. Krener},
journal= {arXiv preprint arXiv:1106.5815},
year = {2019}
}
Comments
21 pages, 12 figures