Robust constrained control for vibration suppression of mismatched systems (Q1923368)

We propose a control scheme based on Lyapunov stability theory; it relates to robustness vis-à-vis unknown but bounded excitations. In addition to the controller design via Lyapunov theory, a stability analysis is carried out to compute the ball of ultimate boundedness for a certain class of Lyapunov functions. To demonstrate the effectiveness of the control, we consider a mechanical system with two degrees of freedom where the masses are elastically coupled. The unknown excitation acts on one of these masses. Two controllers are compared particularly with respect to attenuation of vibrations.