Vibration control of aero two-blade propeller with input and output constraints based on PDE model

In this study, the two-blade aero propeller is regarded as a distributed parameter system whose dynamics is fully described by partial differential equations (PDEs), taking into account all the system modal information. Then a control approach relying upon the backstepping technology is designed to steer the vibration of the propeller system to a small region even subject to external disturbances and modeling uncertainties. With the help of the proposed control, both input and output constraints of the system can be guaranteed via barrier Lyapunov functions (BLFs) and hyperbolic tangent functions. Utilizing the Lyapunov's direct method, the system stability is verified and the effectiveness of the proposed control scheme is illustrated by numerical simulations.