Name
Title | ||
|---|---|---|
Nonlinear robust optimization of uncertainty affine dynamic systems under the L-infinity norm |
Abstract | ||
|---|---|---|
In this paper, we discuss robust optimal control techniques for dynamic systems which are affine in the uncertainty. Here, the uncertainty is assumed to be time-dependent but bounded by an L-infinity norm. We are interested in finding a tight upper bound for the worst case excitation of the inequality state constraints requiring to solve a parameterized lower-level maximization problem. In this paper, we suggest to replace this lower level maximization problem by an equivalent minimization problem using a special version of modified Lyapunov equations. This new reformulation offers advantages for robust optimal control problems where the uncertainty is time-dependent, i.e. infinite dimensional, while the inequality state constraints need to be robustly regarded on the whole time horizon. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/CACSD.2010.5612793 | Computer-Aided Control System Design |
Keywords | DocType | ISBN |
lyapunov matrix equations,minimisation,nonlinear control systems,optimal control,uncertain systems,l-infinity norm,equivalent minimization problem,inequality state constraints,lower-level maximization problem,modified lyapunov equations,nonlinear robust optimization,uncertainty affine dynamic systems | Conference | 978-1-4244-5355-9 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boris Houska | 1 | 214 | 26.14 |
| Moritz Diehl | 2 | 1343 | 134.37 |