Wing box transonic-flutter suppression using piezoelectric self-sensing actuators attached toskin

Abstract

The main objective of this research is to study the capability of piezoelectric (PZT)self-sensing actuators to suppress the transonic wing box flutter, which is a flow–structureinteraction phenomenon. The unsteady general frequency modified transonic smalldisturbance (TSD) equation is used to model the transonic flow about the wing. The wingbox structure and piezoelectric actuators are modeled using the equivalent plate method,which is based on the first order shear deformation plate theory (FSDPT). Thepiezoelectric actuators are bonded to the skin. The optimal electromechanical couplingconditions between the piezoelectric actuators and the wing are collected from previouswork. Three main different control strategies, a linear quadratic Gaussian (LQG) whichcombines the linear quadratic regulator (LQR) with the Kalman filter estimator (KFE), anoptimal static output feedback (SOF), and a classic feedback controller (CFC), are studiedand compared. The optimum actuator and sensor locations are determined using thenorm of feedback control gains (NFCG) and norm of Kalman filter estimatorgains (NKFEG) respectively. A genetic algorithm (GA) optimization technique isused to calculate the controller and estimator parameters to achieve a targetresponse.