Fractional-order adaptive control of nonlinear aeroelastic system with wind disturbance

The behaviors of nonlinear aeroelasitc systems show limit cycle oscillations under smooth airflow and irregular, nonlinear, randomly varying oscillations under turbulence. A fractional order direct adaptive controller ( FDAC ) based on output feedback was proposed to suppress the vibration of a nonlinear aeroelastic system under wind disturbance. First, the FDAC was designed based on fractional calcus and the direct adaptive control theory. Then, the appropriate range of fractional order parameters were deduced. The advantage of FDAC on aeroelastic control and disturbance rejection was theoretically analyzed, compared with integral order direct adaptive controller. The stability of the proposed controller was proved by the Kalman-Yacubovich lemma. Simulation results reveal that the proposed FDAC can significantly improve the performance of vibration control and disturbance rejection, under large and random wind disturbance for nonlinear aeroelastic systems. The simulation results also verify the theoretical inclusions. © 2024 Chinese Vibration Engineering Society. All rights reserved.