@inproceedings{8759, abstract = {{In a wide range of applications, it is desirable to optimally control a system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a single optimal solution, the set of optimal compromises, the so-called Pareto set, has to be approximated. When it is not possible to compute the entire control trajectory in advance, for instance due to uncertainties or unforeseeable events, model predictive control methods can be applied to control the system during operation in real time. In this article, we present an algorithm for the solution of multiobjective model predictive control problems. In an offline scenario, it can be used to compute the entire set of optimal compromises whereas in a real time scenario, one optimal compromise is computed according to an operator's preference. The results are illustrated using the example of an industrial laundry. A logistics model of the laundry is developed and then utilized in the optimization routine. Results are presented for an offline as well as an online scenario.}}, author = {{Peitz, Sebastian and Gräler, Manuel and Henke, Christian and Molo, Mirko Hessel-von and Dellnitz, Michael and Trächtler, Ansgar}}, booktitle = {{Procedia Technology}}, issn = {{2212-0173}}, pages = {{483--490}}, title = {{{Multiobjective Model Predictive Control of an Industrial Laundry}}}, doi = {{10.1016/j.protcy.2016.08.061}}, year = {{2016}}, } @inbook{16579, author = {{Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}}, booktitle = {{Mathematics in Industry}}, isbn = {{9783319234120}}, issn = {{1612-3956}}, title = {{{Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control}}}, doi = {{10.1007/978-3-319-23413-7_87}}, year = {{2016}}, } @article{16580, author = {{Ziessler, Adrian and Molo, Mirko Hessel-Von and Dellnitz, Michael}}, issn = {{2158-2491}}, journal = {{Journal of Computational Dynamics}}, pages = {{5--5}}, title = {{{On the computation of attractors for delay differential equations}}}, doi = {{10.3934/jcd.2016005}}, year = {{2016}}, } @inproceedings{8758, abstract = {{In this contribution we compare two different approaches to the implementation of a Model Predictive Controller in an electric vehicle with respect to the quality of the solution and real-time applicability. The goal is to develop an intelligent cruise control in order to extend the vehicle range, i.e. to minimize energy consumption, by computing the optimal torque profile for a given track. On the one hand, a path-based linear model with strong simplifications regarding the vehicle dynamics is used. On the other hand, a nonlinear model is employed in which the dynamics of the mechanical and electrical subsystem are modeled.}}, author = {{Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Hessel von Molo, Mirko and Ober-Blöbaum, Sina and Dellnitz, Michael}}, booktitle = {{Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering}}, issn = {{2212-0173}}, pages = {{465--472}}, title = {{{A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles}}}, doi = {{10.1016/j.protcy.2016.08.059}}, volume = {{26}}, year = {{2016}}, } @article{1774, abstract = {{In this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100.}}, author = {{Peitz, Sebastian and Dellnitz, Michael}}, issn = {{1617-7061}}, journal = {{PAMM}}, number = {{1}}, pages = {{613--614}}, publisher = {{WILEY-VCH Verlag}}, title = {{{Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}}}, doi = {{10.1002/pamm.201510296}}, volume = {{15}}, year = {{2015}}, } @inproceedings{8760, abstract = {{n this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100.}}, author = {{Peitz, Sebastian and Dellnitz, Michael}}, booktitle = {{PAMM}}, issn = {{1617-7061}}, pages = {{613--614}}, title = {{{Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}}}, doi = {{10.1002/pamm.201510296}}, year = {{2015}}, } @article{16582, author = {{Demoures, F. and Gay-Balmaz, F. and Leyendecker, S. and Ober-Blöbaum, S. and Ratiu, T. S. and Weinand, Y.}}, issn = {{0029-599X}}, journal = {{Numerische Mathematik}}, pages = {{73--123}}, title = {{{Discrete variational Lie group formulation of geometrically exact beam dynamics}}}, doi = {{10.1007/s00211-014-0659-4}}, year = {{2015}}, } @inproceedings{16622, author = {{Keuck, L. and Frohleke, N. and Bocker, J. and Ziessler, A.}}, booktitle = {{2015 17th European Conference on Power Electronics and Applications (EPE'15 ECCE-Europe)}}, isbn = {{9789075815221}}, title = {{{PFC-control for improved inductor utilization}}}, doi = {{10.1109/epe.2015.7309373}}, year = {{2015}}, } @article{16642, author = {{Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{639--640}}, title = {{{Multiobjective optimal control of fluid mixing}}}, doi = {{10.1002/pamm.201510309}}, year = {{2015}}, } @article{16660, author = {{Ringkamp, Maik and Ober-Blöbaum, Sina and Leyendecker, Sigrid}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{27--30}}, title = {{{Relaxing mixed integer optimal control problems using a time transformation}}}, doi = {{10.1002/pamm.201510008}}, year = {{2015}}, } @article{17039, author = {{Flasskamp, Kathrin and Hage-Packhäuser, Sebastian and Ober-Blöbaum, Sina}}, journal = {{Journal of Computational Dynamics}}, number = {{1}}, pages = {{25--50}}, title = {{{Symmetry exploiting control of hybrid mechanical systems}}}, doi = {{10.3934/jcd.2015.2.25}}, volume = {{2}}, year = {{2015}}, } @article{17041, author = {{Campos, Cédric M. and Ober-Blöbaum, Sina and Trélat, Emmanuel}}, journal = {{Discrete & Continuous Dynamical Systems - A}}, number = {{9}}, pages = {{4193--4223}}, title = {{{High order variational integrators in the optimal control of mechanical systems}}}, doi = {{10.3934/dcds.2015.35.4193}}, volume = {{35}}, year = {{2015}}, } @article{21936, author = {{Nüske, Feliks and Keller, Bettina G. and Pérez-Hernández, Guillermo and Mey, Antonia S. J. S. and Noé, Frank}}, issn = {{1549-9618}}, journal = {{Journal of Chemical Theory and Computation}}, pages = {{1739--1752}}, title = {{{Variational Approach to Molecular Kinetics}}}, doi = {{10.1021/ct4009156}}, year = {{2014}}, } @inbook{16577, author = {{Dellnitz, Michael and Dumitrescu, Roman and Flaßkamp, Kathrin and Gausemeier, Jürgen and Hartmann, Philip and Iwanek, Peter and Korf, Sebastian and Krüger, Martin and Ober-Blöbaum, Sina and Porrmann, Mario and Priesterjahn, Claudia and Stahl, Katharina and Trächtler, Ansgar and Vaßholz, Mareen}}, booktitle = {{Lecture Notes in Mechanical Engineering}}, isbn = {{9783642454349}}, issn = {{2195-4356}}, title = {{{The Paradigm of Self-optimization}}}, doi = {{10.1007/978-3-642-45435-6_1}}, year = {{2014}}, } @inproceedings{16596, author = {{Flasskamp, Kathrin and Ober-Blobaum, Sina and Schneider, Tobias and Bocker, Joachim}}, booktitle = {{52nd IEEE Conference on Decision and Control}}, isbn = {{9781467357173}}, title = {{{Optimal control of a switched reluctance drive by a direct method using a discrete variational principle}}}, doi = {{10.1109/cdc.2013.6761075}}, year = {{2014}}, } @article{16597, author = {{Flaßkamp, Kathrin and Timmermann, Julia and Ober-Blöbaum, Sina and Trächtler, Ansgar}}, issn = {{0020-7179}}, journal = {{International Journal of Control}}, pages = {{1886--1905}}, title = {{{Control strategies on stable manifolds for energy-efficient swing-ups of double pendula}}}, doi = {{10.1080/00207179.2014.893450}}, year = {{2014}}, } @inbook{16679, author = {{Anacker, Harald and Dellnitz, Michael and Flaßkamp, Kathrin and Groesbrink, Stefan and Hartmann, Philip and Heinzemann, Christian and Horenkamp, Christian and Kleinjohann, Bernd and Kleinjohann, Lisa and Korf, Sebastian and Krüger, Martin and Müller, Wolfgang and Ober-Blöbaum, Sina and Oberthür, Simon and Porrmann, Mario and Priesterjahn, Claudia and Radkowski, Rafael and Rasche, Christoph and Rieke, Jan and Ringkamp, Maik and Stahl, Katharina and Steenken, Dominik and Stöcklein, Jörg and Timmermann, Robert and Trächtler, Ansgar and Witting, Katrin and Xie, Tao and Ziegert, Steffen}}, booktitle = {{Lecture Notes in Mechanical Engineering}}, isbn = {{9783642454349}}, issn = {{2195-4356}}, title = {{{Methods for the Design and Development}}}, doi = {{10.1007/978-3-642-45435-6_5}}, year = {{2014}}, } @article{17043, author = {{Baier, Robert and Dellnitz, Michael and Hessel-von Molo, Mirko and Sertl, Stefan and Kevrekidis, Ioannis G.}}, journal = {{Journal of Computational Dynamics}}, number = {{1}}, pages = {{39--69}}, title = {{{The computation of convex invariant sets via Newton's method}}}, doi = {{10.3934/jcd.2014.1.39}}, volume = {{1}}, year = {{2014}}, } @inbook{17044, author = {{Leitz, Thomas and Ober-Blöbaum, Sina and Leyendecker, Sigrid}}, booktitle = {{Multibody Dynamics}}, editor = {{Terze, Zdravko}}, isbn = {{9783319072593}}, issn = {{1871-3033}}, publisher = {{Springer}}, title = {{{Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration}}}, doi = {{10.1007/978-3-319-07260-9}}, year = {{2014}}, } @inproceedings{17045, author = {{Gail, Tobias and Leyendecker, Sigrid and Ober-Blöbaum, Sina}}, booktitle = {{The 3rdJoint International Conference on Multibody System Dynamics}}, title = {{{On the role of quadrature rules and system dimensions in variational multirateintegrators}}}, year = {{2014}}, }