Control structure in optimization problems of bar systems

• Autorzy: Leszek Mikulski
• 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; elastic structures; minimum principle

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 4
• Strony: 515-529

Daty

wydano

2004

otrzymano

2004-06-01

poprawiono

2004-09-01

Twórcy

autor

Leszek Mikulski

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

Bibliografia

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