Nonlinear discrete-time multirate adaptive control of non-linear vibrations of smart beamsNonlinear discrete-time multirate adaptive control of non-linear vibrations of smart beams Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2019-09-062018enThe 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.http://creativecommons.org/licenses/by/4.0/Journal of Sound and Vibration423June 2018484-519 Georgiou Georgios Foutsitzi Georgia A. Stavroulakis Georgios Σταυρουλακης Γεωργιος Elsevier Adaptive control Multirate digital control Nonlinear control Smart beams Vibration control