Control Structure in Optimization Problems of Bar Systems

• Autorzy: Mikulski L.
• Języki publikacji: EN

Abstrakty

EN

Optimal design problems in mechanics can be mathematically formulated as optimal control tasks. The minimum principle is employed in solving such problems. This principle allows us to write down optimal design problems as Multipoint Boundary Value Problems (MPBVPs). The dimension of MPBVPs is an essential restriction that decides on numerical difficulties. Optimal control theory does not give much information about the control structure, i.e., about the sequence of the forms of the right-hand sides of state equations appearing successively in time. The correctness of the assumed control structure can be checked after obtaining the solution of the boundary problem. For the numerical solution, we use hybrid procedures which are a connection of the multiple shooting method with that of collocation.

Słowa kluczowe

EN

optimization; minimum principle; elastic structures

PL

optymalizacja; zasada minimum; struktura elastyczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: Vol. 14, no 4
• Strony: 515--529
• Opis fizyczny: Bibliogr. 10 poz., rys., tab., wykr.

Twórcy

autor

Mikulski L.

• Faculty of Civil Engineering, Cracow University of Technology ul. Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

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• [6] Mikulski L. (1999): Optimal design of elastic continuous structures. — TU Cracow, Series Civil Engineering, Monograph 259.
• [7] Oberle H.J., Grimm, W. (1989): BNDSCO – A program for the numerical solution of optimal control problems. — Deutsche Forschungsanstalt für Luft und Raumfahrt, DLR IB 515-89/22, Oberpfaffenhofen.
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• [10] Von Stryk O. (2002): User’s guide DIRCOL — A direct collocation method for the numerical solution of optimal control problems. — Technische Universität Darmstadt, Fachgebiet Simulation und Systemoptimierung (SIM), Ver. 2.1.