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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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.
References
Heylen, W., Lammens, S., Sas, P.: Modal Analysis Theory and Testing. K.U. Leuven, Leuven (2016)
Pauwels, S., Michel, J., Robijns, M., Peeters, B., Debille, J.: A new MIMO sine technique for accelerated, high quality FRF measurements. In: Proceedings of International Conference on Noise and Vibration Engineering, Leuven (2006)
Orlando, S., Peeters, B., Coppotelli, G.: Improved FRF estimators for MIMO sine sweep data. In: Proceedings of International Conference on Noise and Vibration Engineering, Leuven (2008)
Gloth, G., Synapius, M.: Analysis of swept-sine runs during modal identification. Mech. Syst. Signal Process. 18, 1421–1441 (2004)
Peeters, B., Hendricx, W., Debille, J.: Modern solutions for ground vibration testing of large aircrafts. Sound Vib. 43(1) (2009)
Fortescue, P., Swinerd, G., Stark, J.: Spacecraft Systems Engineering, 4th edn. Wiley, New York (2011)
Waimer, S., Gentile, E., Manzato, S., Peeters, B., Wagner, M., Guillaume, P.: Modelling and experimental validation of a coupled electrodynamic shaker and test structure simulation model. In: Proceedings of International Conference on Noise and Vibration Engineering, Leuven (2016)
Waimer, S., Manzato, S., Peeters, B., Wagner, M., Guillaume, P.: Modelling and simulation of a closed-loop electrodynamic shaker and test structure model for spacecraft vibration testing. Adv. Aircr. Spacecr. Sci. 5, 205–223 (2018)
Musella, U., Zanellati, L., Grottoli, M., Celiberti, F., Peeters, B., Marulo, F., Guillaume, P.: Driving a motion platform with a vibration control software for multi-axis environmental testing: challenges and solutions. In: Proceedings of the XXXVI IMAC, Orlando (2018)
Musella, U., D’Elia, G., Carrella, A., Peeters, B., Mucchi, E., Marulo, F., Guillaume, P.: A minimum drives automatic target definition procedure for multi-axis random control testing. Mech. Syst. Signal Process. 107, 452–468 (2018)
Pintelon, R., Schoukens, J.: System Identification: A Frequency Domain Approach. Wiley, Hoboken (2012)
Bendat, J., Piersol, A.G.: Random Data: Analysis and Measurement Procedures, vol. 729. Wiley, New York (2011)
Underwood, M.: Multi-exciter testing applications, theory and practice. In: Proceedings of Institute of Environmental Sciences (2002)
Musella, U., Longo, A., Vettori, S., Waimer, S., Di Lorenzo, E., Peeters, B., Marulo, F., Guillaume, P.: Recent advances in swept sine controlled excitation and processing for multi-input multi-output FRFs estimation. In: Proceedings of ISMA 2018 (2018)
Elliot, S.: Signal Processing for Active Control. Academic, London (2001)
Siemens Industry Software N.V.: LMS Test.Lab Environmental, User Manual (2016)
Kreutz-Deglado, K.: The complex gradient operator and the \(\mathbb {C}\mathbb {R}\)-calculus, Preprint, ArXiv (2009)
Sorber, L., van Barel, M., de Lathauwer, L.: Unconstrained optimization of real functions in complex variables. SIAM J. Optim. 22(33), 879–898 (2012)
Musella, U., Manzato, S., Peeters, B., Guillaume, P.: \(\mathbb {C}\mathbb {R}\)-calculus and adaptive array theory applied to MIMO random vibration control tests. J. Phys. Conf. Ser. IOP Science 744(1), 012175 (2016)
Meyer, C.D.: Matrix Analysis and Applied Linear Algebra. Society for Industrial and Applied Mathematics, Philadelphia (2000)
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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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