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

K. Kunisch and S. Volkwein
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K. Kunisch: Karl-Franzens-Universität Graz
S. Volkwein: Karl-Franzens-Universität Graz

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 2, No 8, 345-371

Abstract: 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.

Keywords: Open-loop optimal control; closed-loop optimal control; Burgers equation; proper orthogonal decomposition (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021732508059

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