Solving mathematical programs with complementarity constraints arising in nonsmooth optimal control

A Nurkanović, A Pozharskiy, M Diehl - Vietnam Journal of Mathematics, 2024 - Springer
This paper examines solution methods for mathematical programs with complementarity
constraints (MPCC) obtained from the time-discretization of optimal control problems (OCPs) …

Finite elements with switch detection for direct optimal control of nonsmooth systems

A Nurkanović, M Sperl, S Albrecht, M Diehl - Numerische Mathematik, 2024 - Springer
Abstract This paper introduces Finite Elements with Switch Detection (FESD), a numerical
discretization method for nonsmooth differential equations. We consider the Filippov …

Fesd-j: Finite elements with switch detection for numerical optimal control of rigid bodies with impacts and coulomb friction

A Nurkanović, J Frey, A Pozharskiy, M Diehl - Nonlinear Analysis: Hybrid …, 2024 - Elsevier
Abstract The Finite Elements with Switch Detection (FESD) is a high-accuracy method for the
numerical simulation and solution of optimal control problems subject to discontinuous …

Mixed-integer linearity in nonlinear optimization: a trust region approach

A De Marchi - arXiv preprint arXiv:2310.17285, 2023 - arxiv.org
Bringing together nonlinear optimization with mixed-integer linear constraints enables
versatile modeling, but poses significant computational challenges. We investigate a method …

[PDF][PDF] Numerical methods for optimal control of nonsmooth dynamical systems

A Nurkanović - 2023 - researchgate.net
This thesis regards algorithmic, theoretical, and software aspects of numerically solving
Optimal Control Problems (OCPs) subject to nonsmooth dynamical systems. When solving …

Numerical Methods for Bilevel Optimal Control of Constrained Biomechanical Multibody Systems with Applications in Diagnosis of Cerebral Palsy

M Sauter - 2024 - archiv.ub.uni-heidelberg.de
This thesis aims at developing mathematical models and numerical methods for establishing
a classification and diagnosis scheme for the pathological gait of Cerebral Palsy (CP) …

Pathfollowing for parametric mathematical programs with complementarity constraints

V Kungurtsev, J Jäschke - Optimization and Engineering, 2023 - Springer
In this paper we study procedures for pathfollowing parametric mathematical programs with
complementarity constraints. We present two algorithms, one based on the penalty …