Operator based nonlinear vibration control for an aircraft vertical tail with unknown input nonlinearity

In this paper, operator based robust nonlinear vibration control method for an aircraft vertical tail with piezoelectric actuators is proposed. Firstly, models of a hysteresis nonlinearity of piezoelectric actuators by Plandtl-Ishlinskii model and the plate that is simulated an aircraft vertical tail are introduced. Secondly, with use of operator theory, a control design of the plate that has an effect of input nonlinearities is proposed to stabilize the system. Then, the desired dumping effect of the plate is discussed. Finally, the proposed control design is verified by simulations.