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. In this work, the problem of deriving (invariant) input signals for a MBS (mechanical multibody system) is formulated as an optimal control problem. Based on this formulation solution strategies from optimal control theory can be applied. Indirect approaches and a direct discretization method are discussed. The first are a suitable choice for linear systems of moderate size and complexity, whereas the latter is applicable to general full non-linear MBS, which can be modeled in a commercial MBS software tool. For that case, the indirect method can provide a starting point for the iterative optimization process, if it is applied to a linearization of the MBS.
Optimal control methods for the calculation of invariant excitation signals for multibody systems
2010
9 Seiten, 5 Bilder, 16 Quellen
Conference paper
Storage medium
English
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