Title :
Piecewise smooth solutions to the nonlinear output regulation PDE
Author :
Aguilar, C.O. ; Krener, A.J.
Author_Institution :
Dept. of Appl. Math., Naval Postgrad. Sch., Monterey, CA, USA
fDate :
June 29 2011-July 1 2011
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. Our method relies on the periodic nature of two-dimensional analytic center manifolds.
Keywords :
approximation theory; nonlinear control systems; partial differential equations; piecewise constant techniques; Francis-Byrnes-Isidori equations; nonlinear output regulation PDE; piecewise smooth solutions; two-dimensional analytic center manifolds; two-dimensional exosystem; zero dynamics; Approximation methods; Boundary conditions; Eigenvalues and eigenfunctions; Equations; Gravity; Manifolds; Trajectory;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5990977
