• Mehrzieloptimierung und -optimalsteuerung,
  • Beschleunigung von Algorithmen durch das Ausnutzen von Strukturen
  • Echtzeit-Anwendbarkeit in Kombination Model Predictive Control
  • Lösen von PDE-restringierten Problemen mittels Modellreduktion
     
• Modellreduktion für komplexe Systeme, insbesondere Partielle Differentialgleichungen, mittels
  • Proper Orthogonal Decomposition (POD)
  • Koopman Operator-Ansätzen
  • Maschineller Lernverfahren
     
• Kontrolle komplexer dynamischer Systeme, insbesondere von Fluidströmungen

• Titel: Multiobjective Optimization of Non-Smooth PDE-Constrained Problems - Switches, State Constraints and Model Order Reduction
  Beschreibung: Gemeinsames Projekt mit der Universität Konstanz (Prof. Dr. Stefan Volkwein), in dem wir Mehrzieloptimierungs- und Optimalsteuerungsprobelme mit nicht-glatten PDE-Nebenbedingungen lösen. Zur Erhöhung der numerischen Effizienz werden Modellreduktionsverfahren wie die Proper Orthogonal Decomposition (POD) eingesetzt, und wir entwickelnt Fehlerschranken, um konvergente Algorithmen zu konstruieren.
  Förderung: DFG Priority Programme 1962 "Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization"
   
• Titel: Simultaneous Development and Testing of Cyber Physical Systems (CPS) using the example of autonomous electric vehicles (SET CPS)
  Beschreibung: Gemeinsames Projekt mit dSPACE und e.GO, in dem wir den Entwicklungs- und Testprozess von autonomen elektrischen Fahrzeugen mit Hilfe von Mehrzieloptimierungsalgorithmen miteinander kombinieren, um die Entwicklungszeit neuer Autos signifikant zu reduzieren (Weitere Informationen)
  Förderung: EFRE.NRW

Exploiting Structure in Multiobjective Optimization and Optimal Control
Universität Paderborn, 2017 (UPB, PDF)

Klus, S.; Nüske, F.; Peitz, S.; Niemann, J.-H.; Clementi, C.; Schütte, C.:
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control.
Submitted to Physica D (arXiv)

Bieker, K.; Peitz, S.; Brunton, S. L.; Kutz, J. N.; Dellnitz, M.:
Deep Model Predictive Control with Online Learning for Complex Physical Systems.
Submitted to Theoretical and Computational Fluid Dynamics (arXiv)

Peitz, S.; Klus, S.:
Koopman operator-based model reduction for switched-system control of PDEs.
Automatica 106, 184-191, 2019. (arXiv)

Gebken, B.; Peitz, S.; Dellnitz, M.:
On the hierarchical structure of Pareto critical sets.
Journal of Global Optimization 73(4), 891-913, 2019. (arXiv)

Schütze, O.; Cuate, O.; Martín, A.; Peitz, S.; Dellnitz, M.:
Pareto Explorer: a global/local exploration tool for many-objective optimization problems.
Engineering Optimization, 2019.

Gebken, B.; Peitz, S.:
Inverse multiobjective optimization: Inferring decision criteria from data.
Submitted to SIAM Journal on Optimization, 2019. (arXiv)

Peitz, S.; Ober-Blöbaum, S.; Dellnitz, M.:
Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.
Acta Applicandae Mathematicae 161(1), 171-199, 2019. (arXiv)

Klus, S.; Gelß, P.; Peitz, S.; Schütte, C.:
Tensor-based dynamic mode decomposition.
Nonlinearity 31(7), 3359-3380, 2018 (arXiv)

Peitz, S.; Dellnitz, M.:
A Survey of Recent Trends in Multiobjective Optimal Control – Surrogate Models, Feedback Control and Objective Reduction.
Mathematical and Computational Applications 23(2), 2018 (Link)

Ober-Blöbaum, S.; Peitz, S.:
Explicit multiobjective model predictive control for nonlinear systems with symmetries.
Submitted to International Journal of Robust and Nonlinear Control, 2018. (arXiv)

Peitz, S.:
Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data.
Submitted, 2019. (arXiv)

Banholzer, S.; Gebken, B.; Dellnitz, M.; Peitz, S.; Volkwein, S.:
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation.
Submitted (arXiv)

Peitz, S.; Klus, S.:
Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator.
To appear in Mauroy A.; Suzuki, Y.; Mezić, I. (Eds.) "The Koopman Operator in Systems and Control: Concepts, Methodologies and Applications", Springer, 2020. (arXiv)

Beermann, D.; Dellnitz, M.; Peitz, S.; Volkwein, S.:
Set-Oriented Multiobjective Optimal Control of PDEs using Proper Orthogonal Decomposition.
In Keiper, W.; Milde, A.; Volkwein, S. (Eds.) "Reduced-Order Modeling (ROM) for Simulation and Optimization", 47-72, Springer, 2018 (preprint)

Hanke, S.; Peitz, S.; Wallscheid, O.; Böcker, J.; Dellnitz M.:
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.
2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.

Gebken, B.; Peitz, S.; Dellnitz, M.:
A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.
NEO 2017 Proceedings, 29-61, Springer, 2019 (arXiv)

Klus, S.; Peitz, S.; Schuster, I.:
Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions.
arXiv

Beermann, D.; Dellnitz, M.; Peitz, S.; Volkwein, S.:
POD-based multiobjective optimal control of PDEs with non-smooth objectives.
Proceedings in Applied Mathematics and Mechanics (PAMM) 17(1), 51-54, 2017. (PDF)

Peitz, S.; Schäfer, K.; Ober-Blöbaum, S.; Eckstein, J.; Köhler, U.; Dellnitz, M.:
A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.
IFAC PapersOnLine 50(1), 8674-8679, 2017 (arXiv)

Peitz, S.; Dellnitz, M.:
Gradient Based Multiobjective Optimization with Uncertainties.
NEO 2016 Proceedings, 159-182, Springer, 2018 (arXiv)

Peitz, S.; Gräler, M.; Henke, C.; Hessel-von Molo, M.; Dellnitz, M.; Trächtler, A.:
Multiobjective Model Predictive Control of an Industrial Laundry.
Procedia Technology 26, 483-490, 2016 (PDF)

Eckstein, J.; Peitz, S.; Schäfer, K.; Friedel, P.; Hessel-von Molo, M.; Ober-Blöbaum, S.; Dellnitz, M.:
A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles.
Procedia Technology 26, 465-472, 2016 (PDF)

Dellnitz, M.; Eckstein, J.; Flaßkamp, K.; Friedel, P.; Horenkamp, C.; Köhler, U.; Ober-Blöbaum, S.; Peitz, S.; Tiemeyer, S.:
Multiobjective optimal control methods for the development of an intelligent cruise control.
Progress in Industrial Mathematics at ECMI 2014, 633-641 2017 (PDF)

Peitz, S.; Ober-Blöbaum, S.; Dellnitz, M.:
Reduced Order Model based Multiobjective Optimal Control of Fluids.
XXIV ICTAM, 21-26 August 2016, Montreal, Canada - Online publication, 2016 (PDF)

Peitz, S.; Dellnitz, M.:
Multiobjectve Optimization of the Flow Around a Cylinder Using Model Order Reduction.
Proceedings in Applied Mathematics and Mechanics (PAMM) 15, 613-614, 2015 (PDF)

Dellnitz, M.; Eckstein, J.; Flaßkamp, K.; Friedel, P.; Horenkamp, C.; Köhler, U.; Ober-Blöbaum, S.; Peitz, S.; Tiemeyer, S.:
Development of an intelligent cruise control using optimal control methods.
Procedia Technology 15, 285-294, 2014 (PDF)

6th International Conference on Continuous Optimization
05.08. - 08.08.2019 - Berlin, Germany
"Feedback control of nonlinear PDEs using Koopman-Operator-based switched systems"

SIAM Conference on Applications of Dynamical Systems
19.05. - 23.05.2019 - Snowbird, Utah, USA
"Data Driven Feedback Control of Nonlinear PDEs Using the Koopman Operator"

SIAM Conference on Computational Science and Engineering
25.02. - 01.03.2019 - Spokane, WA, USA
"Feedback Control of Nonlinear PDEs using Data-efficient Reduced Order Models Based on the Koopman Operator"

Symposium On Machine Learning for Dynamical Systems
11.02. - 13.02.2019 - London, UK
"Low-dimensional data-based surrogate models for analysis, simulation and control of high-dimensional dynamical systems"

Forschungsseminar der Fachgruppe CSC, Max-Planck-Institut für Dynamik Komplexer Technischer Systeme
20.11.2018 - Magedburg, Germany
"Data driven feedback control of nonlinear PDEs using the Koopman operator"

5th European Conference on Computational Optimization (EUCCO) 2018
10.09. - 12.09.2018 - Trier, Germany
"Data driven feedback control of nonlinear PDEs using the Koopman operator"

NUMDIFF-15
03.09. - 07.09.2018 - Halle (Saale), Germany
"Data driven feedback control of nonlinear PDEs using the Koopman operator"

Oxford Universitxy - Control Engineering Group Seminar
14.05.2018 - Oxford, UK
"Data driven feedback control of nonlinear PDEs using the Koopman operator"

89th Annual Meeting of GAMM
19.03. - 23.03.2018 - Munich, Germany
"Set-Oriented Multiobjective Optimal Control of PDEs using Certified ROMs"

4th CRITICS Workshop and Winter School on “Critical Transitions in Complex Systems: Mathematical theory and applications”
12.03. - 16.03.2018, Wöltingerode, Germany
"Controlling the Navier-Stokes equations using low-dimensional bilinear approximations obtained from data"

Center for Industrial Mathematics - University of Bremen
14.12.2017, Bremen, Germany
"Exploiting structure in multiobjective optimal control for real-time applicability and PDE constraints"

it's OWL Strategietagung
06.12.2017, Paderborn, Germany
"Mathematik in der Industrie - von der Mehrzieloptimierung zu intelligenten Systemen"

18th French - German - Italian Conference on Optimization
25.09. - 28.09.2017 - Paderborn, Germany
"Multiobjective optimization with uncertainties and the application to reduced order models for PDEs"

8th International Workshop on Set Oriented Numerics (SON)
12.09. - 15.09.2017 - Santa Barbara, California, USA
"A new framework for Koopman operator based open and closed loop control"

IFAC 2017 World Congress
19.07. - 24.07.2017 - Toulouse, France
"A Multiobjective MPC Approach for Autonomously Driven Electric Vehicle"

SIAM Conference on Applications of Dynamical Systems
21.05. - 25.05.2017 - Snowbird, Utah, USA
"A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles"

88th Annual Meeting of GAMM
06.03. - 10.03.2017 - Weimar, Germany
"POD-based Set Oriented Multiobjective Optimal Control"

Workshop on Optimal and Feedback Control of Differential Equations
21.11. - 23.11.2016 - Konstanz, Germany
"Multiobjective Optimal Control of the Navier-Stokes Equations Using Reduced Order Modeling"

KoMSO Challenge Workshop "Reduced-Order Modeling for Simulation and Optimization"
07.11. - 08.11.2016 - Robert BOSCH Campus, Renningen, Germany
"ROM-based Multiobjective Optimal Control of the Navier-Stokes Equations"

4th European Conference on Computational Optimization
12.09. - 14.09.2016 - Leuven, Belgium
"Reduced Order Model Based Multiobjective Optimal Control of Nonlinear PDEs"

24th International Congress of Theoretical and Applied Mechanics
21.08. - 26.08.2016 - Montreal, Canada
"Reduced Order Model based Multiobjective Optimal Control of Fluids"

11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
01.07. - 05.07.2016 - Orlando, Florida, USA
"Multiobjective Optimal Control of Coherent Structures Using Reduced Order Modeling"

Paderborner Wissenschaftstage
27.06.2016, Paderborn, Germany
"Energieeffizientes autonomes Fahren mit Hilfe mathematischer Optimierungsverfahren"

SON2015 - 6th International Workshop on Set-Oriented Numerics
28.09. - 01.10.2015, London, England
"Multiobjective Optimal Control Methods for Fluid Flow Using Reduced Order Modeling"

SIAM Conference on Control & it's Applications
08.07. - 10.07.2015, Paris, France
"Multiobjective Optimal Control Techniques in Energy Management" (within the Minisymposium "Controls, Optimization and Estimation for Building Energy Managment")

GAMM 86th Annual Meeting
23.03. - 27.03.2015, Lecce, Italy
"Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction"

Oberwolfach Seminar: Projection Based Model Reduction
23.09. - 29.09.2014, Oberwolfach, Germany

SON2014 - 5th International Workshop on Set-Oriented Numerics
01.09. - 05.09.2014, Christchurch, New Zealand
"Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control"

SysInt2014 - Conference on System-Integrated Intelligence
02.07. - 04.07.2014, Bremen, Germany
"Development of an Intelligent Cruise Control using Optimal Control Methods"

ECMI2014 - European Consortium for Mathematics in Industry
09.06. - 13.06.2014, Taormina, Italy
"Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control"

6th Elgersburg School on Hybrid Dynamical Systems and Mathematical Biology
16.03. - 22.03.2014, Elgersbrug, Germany