Modeling and vibration control of aero two-blade propeller with input magnitude and rate saturations

In this paper, the dynamic modeling and vibration control of a two-blade propeller system of an aircraft are investigated in the presence of input magnitude and rate constraints and external disturbances. To avoid discretizing the original system, a partial differential equation (PDE) model preserving all system modes is developed. Based on the proposed PDE model, boundary control laws are derived to restrict the bending and twist deformations of the two-blade propeller under disturbances. To meet the input magnitude and rate constraints, a backstepping controller is designed. The closed-loop system stability is proved by using the Lyapunov's direct method. Numerical simulations are presented to demonstrate the effectiveness of the proposed control method.