Jun.-Prof. Dr. Sina Ober-Blöbaum

I recently moved to the Control Group of the Department of Engineering Science, University of Oxford

Computational Dynamics and Optimal Control
Department of Mathematics
University of Paderborn

Warburger Str. 100
D-33098 Paderborn
Germany

 

Office:     TP21.1.24
Phone:    (+49) 5251 - 60-2657
Fax:        (+49) 5251 - 60-4216
Email:     sinaob[at]math.uni-paderborn.de

Research interests

Structure-preserving integration 

Simulations of dynamical systems are intended to reproduce the dynamic behavior in a realistic way. Using structure-preserving integration schemes for the simulation of mechanical systems certain properties of the real system are conserved in the numerical solution. Examples are the conservation of energy or momentum induced by symmetries in the system (e. g. conservation of the angular momentum in case of rotational symmetry). A special class of structure-preserving integrators are variational integrators that are derived based on discrete variational mechanics. Using the concept of discrete variational mechanics variational multirate integrators as well as adaptive step size strategies are developed for an efficient treatment of systems with different time scales. Moreover, the integrators are extended for the application to new system classes such as electric circuits. 

 

 

Optimal control methods 

Optimal control aims to prescribe the motion of a dynamical system in such a way that a certain optimality criterion is achieved. The research focus lies in the development of efficient numerical schemes for the solution of optimal control problems that are based on structure-preserving integration. In particular, optimal control methods are designed for the treatment of multi-body systems as well as for complex systems with certain substructures for which hierarchical approaches are developed. Further aspects of research interest are the development of numerical methods using inherent properties of the dynamical system such as symmetries or invariant objects, multiobjective optimization approaches for optimal control problems and the optimal control of hybrid systems. Besides the investigation of theoretical aspects regarding accuracy and convergence of the numerical schemes, their performance is validated by means of problems from different fields of applications, e.g. mechatronic systems, biomechanics and astrodynamics. 

 

 

Projects

 

DFG project: Collaborative Research Center 614 "Self-optimizing concepts and structures in mechanical engineering", project A1: "Model-Oriented Self-Optimization"

 

Spitzencluster it's OWL - Intelligente Technische Systeme OstWestfalenLippe, Querschnittsprojekt "Selbstoptimierung"

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