A balanced truncation-based strategy for optimal control of evolution problems

Abstract:

In this paper, we present a balanced truncation based strategy for the numerical solution of optimal control problems governed by nonlinear evolution partial differential equations. The idea consists in utilizing a balanced truncation model reduction method for the efficient solution of the semi-discretized adjoint system, while the nonlinear state equations are fully solved. Our strategy is analysed as a descent method in function spaces and global convergence results are presented. In combination with a Broyden-Fletcher-Goldfarb-Shanno update also superlinear convergence is verified. Numerical examples are given to illustrate the behaviour of the proposed method for different problems. © 2011 Taylor & Francis.

Año de publicación:

2011

Keywords:

• Model reduction
• balanced truncation
• Optimal Control
• adjoint equation

Fuente:

google

scopus