Application of Fractional-order Compound Control in Photoelectric Stable Platform

This paper studies the optical axis stable tracking of high-precision photoelectric stability platform system, and proposes fractional-order compound control proposes. Firstly, a fractional-order terminal sliding mode control (FO-TSMC) method is designed to enhance the tracking accuracy of the optical axis. Secondly, for the tracking accuracy affected by friction torque and nonlinear disturbance, the method of disturbance compensation is studied from the level of refinement anti-disturbance, and the compound fractional-order disturbance compensation control strategy is adopted. A fractional-order disturbance observer based on velocity (FO-VDOB) is designed with the equivalent disturbance of the systems. The disturbance is effectively estimated and compensated. A fractional-order sliding mode compensator (FO-SMCO) is designed for the unestimated state of the disturbance, further compensating for the unestimated disturbance. Finally, the finite-time stability is proved by Lyapunov and the finite-time control theory, and the effective validation of the protocol is in the MATLAB simulation environment.