94 U. Musella et al. using a steepest descent algorithm. The details of the convergence challenges associated to the MIMO correction for swept sine excitation and the results of a MIMO closed loop controlled simulation are shown with a virtual model of a setup with shakers in twin configuration, continuously sweeping in a specific band of interest. The promising results motivates further investigations and a real time proof-of-concept, in order to study the feasibility of adopt the proposed methodology for MIMO swept sine environmental testing and acquisition. Acknowledgements The financial support of VLAIO is gratefully acknowledged (research grant ADVENT: ADvanced Vibration ENvironmental Testing). References 1. Heylen, W., Lammens, S., Sas, P.: Modal Analysis Theory and Testing. K.U. Leuven, Leuven (2016) 2. 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) 3. 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) 4. Gloth, G., Synapius, M.: Analysis of swept-sine runs during modal identification. Mech. Syst. Signal Process. 18, 1421–1441 (2004) 5. Peeters, B., Hendricx, W., Debille, J.: Modern solutions for ground vibration testing of large aircrafts. Sound Vib. 43(1) (2009) 6. Fortescue, P., Swinerd, G., Stark, J.: Spacecraft Systems Engineering, 4th edn. Wiley, New York (2011) 7. 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) 8. 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) 9. 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) 10. 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) 11. Pintelon, R., Schoukens, J.: System Identification: A Frequency Domain Approach. Wiley, Hoboken (2012) 12. Bendat, J., Piersol, A.G.: Random Data: Analysis and Measurement Procedures, vol. 729. Wiley, New York (2011) 13. Underwood, M.: Multi-exciter testing applications, theory and practice. In: Proceedings of Institute of Environmental Sciences (2002) 14. 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) 15. Elliot, S.: Signal Processing for Active Control. Academic, London (2001) 16. Siemens Industry Software N.V.: LMS Test.Lab Environmental, User Manual (2016) 17. Kreutz-Deglado, K.: The complex gradient operator and the CR-calculus, Preprint, ArXiv (2009) 18. Sorber, L., van Barel, M., de Lathauwer, L.: Unconstrained optimization of real functions in complex variables. SIAM J. Optim. 22(33), 879–898 (2012) 19. Musella, U., Manzato, S., Peeters, B., Guillaume, P.: CR-calculus and adaptive array theory applied to MIMO random vibration control tests. J. Phys. Conf. Ser. IOP Science 744(1), 012175 (2016) 20. Meyer, C.D.: Matrix Analysis and Applied Linear Algebra. Society for Industrial and Applied Mathematics, Philadelphia (2000)
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