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arXiv · 1106.5815

Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation

Cesar O. Aguilar·Arthur J. Krener
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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.

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Cesar O. Aguilar, Arthur J. Krener. 2011-06-28. Patchy Solution of a Francis-Byrnes-Isidori Partial Differential Equation. https://doi.org/10.1002/rnc.2776

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