MPC for the Burgers Equation Based on an LQG Design |
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| Authors: | Sabine Görner Peter Benner |
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| Institution: | Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz |
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| Abstract: | We consider optimal control problems for semilinear parabolic PDEs where process and measurement noise can occur. We discuss the solution of such problems by using a Model Predictive Control (MPC) strategy. For the resulting sub-problems we will use a Linear Quadratic Gaussian (LQG) design. Thus we will discuss the efficient implementation of the LQG approach since it is the major computational part in the MPC scheme for this class of optimal control problems. We will present some numerical results for the Burgers equation. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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