Nonlinear Optimal Control of Plate Structures Using Magnetostrictive Actuators

摘要

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 levels. This results in nonlinearity and hysteresis which cannot be effectively compensated using linear control theory. This issue is address by introducing a homogenized energy model that accounts for nonlinear, hysteretic constitutive behavior into the control design. Numerical examples illustrate significant improvements in vibration attenuation when the nonlinear control method is implemented.