Optimal Forced Vibration Control of A Amart Plate

Abstract

In this paper, optimal forced vibration control problem is considered for the rectangular plate with Kelvin-Voigt damping subject to an external excitation with control exercised by piezoelectric patch actuators bonded on both sides of the plate. By deriving the maximum principle, the control problem is reduced to solving a system of partial differential equations for the state variable and the adjoint variable subjected to boundary, initial and terminal conditions. Two cases with respect to forcing function are examined and results are presented. © 2016.