MS251 - Optimal Control and Sensitivity Analysis
Keywords: Control, Control Problems, Optimization, Sensitivity Analysis
The solution of optimal control problems (OCP) and sensitivity analysis (SA) has recently received important progress due to its multiple applications and underlying symmetries of its mathematical structure. The minimisation of a time dependent cost function subject to ordinary or partial differential equations [1] may be adapted towards the solution of optimal trajectories in aeronautics and automation, path planning in robotics and elastodynamics, optimal design of mechanisms and structures, or the solution of inverse problems in computational mechanics and biomedicine, among others.
This MS focuses on the formulation and numerical solution of optimal control problems and the analysis of sensitivity in mechanical systems with control parameters. Contributions studying theoretical and geometrical aspects, or practical applications and numerical implementations are all welcome [2,3].
We intend to gather engineers and researchers in applied sciences that investigate the development of numerical strategies for OCP and SA, and that can contribute with novel formulations, applications or numerical algorithms for solving the optimality conditions.
REFERENCES
[1] AManzoni , A Quarteroni , S Salsa. Optimal Control of Partial Differential Equations, Springer, 2021.
[2] P Eichmeir, T Lauß, S Oberpeilsteiner, K Nachbagauer, W Steiner. The adjoint method for time-optimal control problems. Journal of Computational and Nonlinear Dynamics 16 (2), 021003, 2021.
[3] A. Bijalwan, S. Schneider, P. Betsch, J J Muñoz. Monolithic and staggered solution strategies for constrained mechanical systems in optimal control problems. Int. J. Num. Meth. Eng., 2024.
