A nonlinear optimal control method is developed for magnetostrictive actuators used to actively attenuate plate vibration. Significant improvements in vibration control can be achieved when the magnetostrictive actuators are driven at moderate to high field levels. This results in nonlinearity and hysteresis which cannot be effectively compensated using linear control theory. This issue is addr...

Abstract Floquet engineering consists in the modification of physical systems by application periodic time-dependent perturbations. The search for shape perturbation that best modifies properties a system order to achieve some predefined metastable target behavior can be formulated as an optimal control problem. We discuss several ways formulate and solve this present, examples, applications co...