Active Vibration Control of Thin Plate Using Optimal Dynamic Inversion Technique

Geometrically non-linear von Karman plate vibrations are suppressed using optimal dynamic inversion technique. Two types of controller are considered, a continuous and finite discrete controllers in spatial domain to control the vibrations of the plate. Non-linear Finite Element (FE) method is used to transform the non-linear partial differential equations (PDE) into a set of non-linear algebraic equations and are solved. The non-linear PDE is directly used for controller design i.e. design-then-approximate (DTA) method is followed which ensures the stability and controllability of the system. The simuation study shows the effectiveness of controlling plate vibrations using continuous and discrete controllers.