Abstract
Multiple-Input Multiple-Output (MIMO) swept sine is nowadays acknowledged to be one of the best excitation techniques in applications where testing time is a constraint and high-quality Frequency Response Functions are compulsory. This is the case, for example, of testing large aerospace structures for model validation and updating. The high levels that can be reached during these tests can require a reliable MIMO closed-loop control strategy in order to guarantee that the response spectra will follow safe reference profiles (within defined tolerance limits). The development of a dedicated algorithm for these applications is however very challenging, especially due to the transient nature of the sweeps and the robustness of the MIMO controller. This paper proposes a steepest descent solution for the control of multiple inputs during a continuous sine-sweep, in order to simultaneously match specific response spectra for multiple control channels.
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Notes
- 1.
For this uncoupled example, the axes of the ellipsoidal cost function’s contours are well-aligned with the plane defined by the components of u − u opt. This simplification, associated to the choice of controlling an uncoupled system, allows to draw considerations on the physical system, but generally these considerations are strictly valid only in the transformed space.
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The financial support of VLAIO is gratefully acknowledged (research grant ADVENT: ADvanced Vibration ENvironmental Testing).
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Musella, U., Peeters, B., Marulo, F., Guillaume, P. (2020). Multi-Input Multi-Output Swept Sine Control: A Steepest Descent Solution for a Challenging Problem. In: Dervilis, N. (eds) Special Topics in Structural Dynamics & Experimental Techniques, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-12243-0_13
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