DIRCOL

A direct collocation method for the numerical solution of optimal control problems.

Selected applications of the method

Robotics: Optimal Path Planning for Industrial Robots

Project on Parameter identification, trajectory optimization, and real time control of industrial robots

Publications:

  • Heim, A.; von Stryk, O.; Pesch, H.J.; Schäffler, H.; Scheuer, K.:
    Parameteridentifikation, Bahnoptimierung und Echtzeitsteuerung von Robotern in der industriellen Anwendung.
    In: Hoffmann, Jäger, Lohmann, Schunck (eds.): Mathematik - Schlüsseltechnologie für die Zukunft (Anwendungsorientierte Verbundprojekte des BMBF auf dem Gebiet der Mathematik), Tagungsband des Statusseminars, 25.-27.10.1995, München (Springer Verlag).
  • von Stryk, O.:
    Optimization of dynamic systems in industrial applications.
    In: H.J. Zimmermann (ed.): Proc. 2nd European Congress on Intelligent Techniques and Soft Computing (EUFIT), Aachen, Germany (Sep. 20-23, 1994) 347-351.
    (please click here for a PostScript version or a gzipped PostScript version of the paper)
  • von Stryk, O.; Schlemmer, M.:
    Optimal control of the industrial robot Manutec r3.
    In: R. Bulirsch, D. Kraft (Hrsg.): Computational Optimal Control, International Series of Numerical Mathematics 115 (Basel: Birkhäuser, 1994) 367-382.
    (please click here for a PostScript version or a gzipped PostScript version of the paper)

Robotics: Trajectory Optimization for a Shuttle Mounted Robot

Publications:

Flight Mechanics: Trajectory Optimization of an airbreathing lower stage of a two-stage-two-orbit launch vehicle

Publications:

  • O. von Stryk:
    Numerical solution of optimal control problems by direct collocation.
    In: R. Bulirsch, A. Miele, J. Stoer, K.-H. Well (eds.): Optimal Control - Calculus of Variations, Optimal Control Theory and Numerical Methods, International Series of Numerical Mathematics 111 (Basel: Birkhäuser, 1993) 129-143.
    Preprint: Schwerpunktprogramm der Deutschen Forschungsgemeinschaft: Anwendungsbezogene Optimierung und Steuerung, Report No. 322, Mathematisches Institut, Technische Universität München (1991).
    PostScript file (618kb), gzipped PostScript file (106kb).

Flight Mechanics: Range maximization of a hangglider

Publications:

Flight Mechanics: Optimal control of a passenger aircraft through a downburst windshear

Publications:

Biomechanics:

Publications:

Automotive Engineering: Optimal Operation and Components' Coordination of a Hybrid Driveline.

The concept of the hybrid driveline consists of a Diesel motor, an electrical motor (powered by a rechargable battery) and a continuous variable transmission. This research is part of a project of the Sonderforschungsbereich 365 Umweltfreundliche Antriebstechnik für Fahrzeuge (A. Kleimaier, U. Zoelch) (information only in German).

Publications:

  • U. Zoelch:
    Ein Beitrag zu optimaler Auslegung und Betrieb von Hybridfahrzeugen
    Dissertation, Technische Universität München (1998).
  • U. Zoelch. D. Schröder:
    Dynamic optimization method for design and rating of the components of a hybrid vehicle
    Int. Journal of Vehicle Design 19, 1 (1998) 1-13.

Electrical Engineering:

Project on computational design of microwave oscillators with minimized phase noise (only in German)

Publications:

Economics: Optimal Management Strategies of a Firm

Publications:

  • Koslik, B.; Breitner, M.H.:
    An optimal control problem in Economics with four linear controls.
    J. Optimization Theory and Applications 94, 3 (1997) 619-634.
  • Breitner, M.H.; Koslik, B.; von Stryk, O.; Pesch, H.J.:
    Iterative design of economic models via simulation, optimization and modeling.
    In: I. Troch (Hrsg.): Proc. 1st MathMod (IMACS Symposium on Mathematical Modelling), Vol. 5, Feb. 2-4, Vienna (1994) 816-819.
    Mathematics and Computers in Simulation 39 (1995) 527-532.
    (please click here for a PostScript version or a gzipped PostScript version of the paper)
  • Breitner, M.H.; Koslik, B.; von Stryk, O.; Pesch, H.J.:
    Optimal control of investment, level of employment and stockkeeping.
    In: A. Bachem, U. Derigs, M. Jünger, R. Schrader (Hrsg.): Operations Research '93 (Heidelberg: Physica Verlag, 1994) 60-63.
    (please click here for a PostScript version or a gzipped PostScript version of the paper)

Economic Studies

Publications:

  • Thimann, C.:
    A model of investment dynamics in eastern Germany: Gradual climb instead of sudden jump.
    Münchener wirtschaftswissenschaftliche Beiträge Nr. 94-18, Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München (1994), forthcoming in: Journal of International and Comparative Economics (JOICE).
  • Thimann, C.; Breitner, M.H.:
    Eastern Germany and the conflict between wage adjustment, investment and employment: A numerical analysis.
    Economic Studies Working Paper No. 2, American Institute for Contemporary German Studies, The John Hopkins University (1995).
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