Approximation methods for output regulation of nonlinear systems

Abstract

The goal of this work is to develop an iterative method for obtaining approximate feedback laws for solving problems of geometric output regulation for a nonlinear system governed by Burgers' equation. We also present a method for solving the linearized output regulation problem which provides initial data for our iterative scheme. We provide an example which demonstrates the convergence of our iterative scheme to the exact value of the control found using a Hopf-Cole transformation.