Thursday, 13:45 - 14:10 h, Room: MA 004


Kai Habermehl
Robust design of active trusses via mixed integer nonlinear semidefinite programming

Coauthor: Stefan Ulbrich


This work is an extension of Ben-Tal and Nemirovski’s approach on robust truss topology design to active trusses. Active trusses may use active components (e.g., piezo-actuators) to react on uncertain loads. The aim is to find a load-carrying structure with minimal worst-case compliance, when actuators may be used to react on uncertain loadings. This problem leads to a min-max-min formulation.
The approach is based on a semidefinite program formulation, which is a well-known optimization approach for robust truss topology design. By introducing actors into the model, it becomes a nonlinear semidefinite program with binary variables. We use a sequential semidefinite programming approach within a branch-and-bound-framework to solve these problems.
Different uncertainty sets are analyzed for the robust optimization approach - mainly polyhedral and ellipsoidal uncertainty sets. These different approaches have their specific advantages and disadvantages. A combined approach seems to be the best way to deal with active elements in robust truss topology design.
Several solution methods (e.g., Cascading techniques, projection approaches) and numerical results will be presented.


Talk 2 of the invited session Thu.2.MA 004
"Multistage robustness" [...]
Cluster 20
"Robust optimization" [...]


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