Mixed-Integer Optimal Control for PDEs: Relaxation via Differential Inclusions and Applications to Gas Network Optimization
- We show that mixed-integer control problems for evolution type partial differential equations can be regarded as operator differential inclusions. This yields a relaxation result including a characterization of the optimal value for mixed-integer optimal control problems with control constraints. The theory is related to partial outer convexification and sum-up rounding methods. The results are applied to optimal valve switching control for gas pipeline operations. A numerical example illustrates the approach.
Author: | Falk Hante |
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Parent Title (German): | Mathematical Modelling, Optimization, Analytic and Numerical Solutions, Springer Series on Industrial and Applied Mathematics, 2020 |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2018/09/14 |
Date of first Publication: | 2018/09/19 |
Release Date: | 2018/09/19 |
Institutes: | Friedrich-Alexander-Universität Erlangen-Nürnberg |
Subprojects: | A03 |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |