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Journal of Optimization Theory and Applications

, Volume 102, Issue 2, pp 345–371 | Cite as

Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition

  • K. Kunisch
  • S. Volkwein
Article

Abstract

Proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper, POD is utilized to solve open-loop and closed-loop optimal control problems for the Burgers equation. The relative simplicity of the equation allows comparison of POD-based algorithms with numerical results obtained from finite-element discretization of the optimality system. For closed-loop control, suboptimal state feedback strategies are presented.

Open-loop optimal control closed-loop optimal control Burgers equation proper orthogonal decomposition 

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Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • K. Kunisch
    • 1
  • S. Volkwein
    • 2
  1. 1.Institut für MathematikKarl-Franzens-Universität GrazGrazAustria
  2. 2.Institut für MathematikKarl-Franzens-Universität GrazGrazAustria

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