Sinusoidal Vibration Control Technology of Two Degrees of Freedom Electro-hydraulic Shaking Table

A sine vibration control technique for multi-degree-of-freedom electro-hydraulic shakers is proposed in this paper to realize high-precision sine vibration environment simulation experiments. The 2-DOF sinusoidal control based on the SR1 quasi-Newton method includes the generalized impedance iteration and the driving spectrum iteration. The generalized impedance matrix correction formula based on the SR1 quasi-Newton algorithm can effectively reduce the system’s online calculation time and improve the convergence speed. The variable step-size update formula derived from the steepest descent method is used to drive the spectral iteration, which can effectively improve the convergence speed and accuracy of the iterative algorithm. A digital tracking filter for the sinusoidal signal is developed to reduce the high-frequency noise. Compared with the 2-DOF sinusoidal control based on the Broyden quasi-Newton method, the simulation results show that the sinusoidal vibration control technology for the multi-degree-of-freedom electro-hydraulic shaking table has better performance.