Computational Optimization and Applications

, Volume 43, Issue 2, pp 213–233

A virtual control concept for state constrained optimal control problems

Authors

    • Johann Radon Institute for Computational and Applied Mathematics (RICAM)Austrian Academy of Sciences
  • A. Rösch
    • Johann Radon Institute for Computational and Applied Mathematics (RICAM)Austrian Academy of Sciences
Article

DOI: 10.1007/s10589-007-9130-0

Cite this article as:
Krumbiegel, K. & Rösch, A. Comput Optim Appl (2009) 43: 213. doi:10.1007/s10589-007-9130-0

Abstract

A linear elliptic control problem with pointwise state constraints is considered. These constraints are given in the domain. In contrast to this, the control acts only at the boundary. We propose a general concept using virtual control in this paper. The virtual control is introduced in objective, state equation, and constraints. Moreover, additional control constraints for the virtual control are investigated. An error estimate for the regularization error is derived as main result of the paper. The theory is illustrated by numerical tests.

Keywords

Optimal control Elliptic equation State constraints Boundary control Regularization Virtual control

Copyright information

© Springer Science+Business Media, LLC 2007