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Nonlinear discrete-time multirate adaptive control of non-linear vibrations of smart beams

Georgiou Georgios, Foutsitzi Georgia A., Stavroulakis Georgios

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URI: http://purl.tuc.gr/dl/dias/E1B28CF7-02BC-4387-A2FA-1A429E523008
Year 2018
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation G. Georgiou, G.A. Foutsitzi and G.E. Stavroulakis, "Nonlinear discrete-time multirate adaptive control of non-linear vibrations of smart beams," J. Sound and Vib., vol. 423, pp. 484-519, Jun. 2018. doi: 10.1016/j.jsv.2017.11.030 https://doi.org/10.1016/j.jsv.2017.11.030
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Summary

The nonlinear adaptive digital control of a smart piezoelectric beam is considered. It is shown that in the case of a sampled-data context, a multirate control strategy provides an appropriate framework in order to achieve vibration regulation, ensuring the stability of the whole control system. Under parametric uncertainties in the model parameters (damping ratios, frequencies, levels of non linearities and cross coupling, control input parameters), the scheme is completed with an adaptation law deduced from hyperstability concepts. This results in the asymptotic satisfaction of the control objectives at the sampling instants. Simulation results are presented.

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