## Optimal control methods for the calculation of invariant excitation signals for multibody systems

• Input signals are needed for the numerical simulation of vehicle multibody systems. With these input data, the equations of motion can be integrated numerically and some output quantities can be calculated from the simulation results. In this work we consider the corresponding inverse problem: We assume that some reference output signals are available, typically gained by measurement and focus on the task to derive the input signals that produce the desired reference output in a suitable sense. If the input data is invariant, i.e., independent of the specific system, it can be transferred and used to excite other system variants. This problem can be formulated as optimal control problem. We discuss solution approaches from optimal control theory, their applicability to this special problem class and give some simulation results.

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Author: M. Burger, M. Speckert, K. Dreßler urn:nbn:de:hbz:386-kluedo-16732 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (194) Report German 2010 2010 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2011/01/24 invariant excitation; mbs simulation ; optimal control ; optimization Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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