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EFFICIENT MODEL PREDICTIVE CONTROL FOR PARABOLIC PDEs WITH GOAL ORIENTED ERROR ESTIMATION\ast
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DOI：10.1137/20M1356324.png)
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We show how a posteriori goal oriented error estimation can be used to efficiently solve the subproblems occurring in a model predictive control (MPC) algorithm. In MPC, only an initial part of a computed solution is implemented as a feedback, which motivates grid refinement particularly tailored to this context. To this end, we present a truncated cost functional as an objective for goal oriented adaptivity and prove under stabilizability assumptions that error indicators decay exponentially outside the support of this quantity. This leads to very efficient time and space discretizations for MPC, which we will illustrate by means of various numerical examples.
Keyword:
model predictive control
space-time finite elements
grid adaptivity
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2.6
论文数:
5.1K
被引数:
1.8W
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