In this paper we propose an algorithm for the bi-level optimal input design involving a parameter-dependent evolution problem. In the inner cycle a control is fixed and the parameter is optimized in order to minimize a cost function that measure the discrepancy from some data. In the outer cycle the found parameter is fixed and the control is now optimized in order to minimize a suitable measure of uncertainty of the parameters. The inner cycle uses a trustregion reduced basis approximation of the model with creation and enrichment of the reduced basis on-the-fly. Numerical examples illustrate the efficiency of the proposed approach.
|Publication status||Published - 7 Sep 2022|
|Event||4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations - Kiel, Germany|
Duration: 5 Sep 2022 → 7 Sep 2022
|Conference||4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations|
|Period||5/09/22 → 7/09/22|