Το work with title Nonlinear discrete-time multirate adaptive control of non-linear vibrations of smart beams by Georgiou Georgios, Foutsitzi Georgia A., Stavroulakis Georgios is licensed under Creative Commons Attribution 4.0 International
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
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.