Hybrid Control of a Large Two-Dimensional Planar Phased Array Antennas Considering Nonlinear Vibration

Abstract Advancements in space technology have led to the widespread use of large antennas in satellite communications and deep-space exploration. However, attitude adjustments and external disturbances in orbit can cause deformation and vibration within the antenna structure, impairing its normal operation. Traditional linear methods are limited in handling such complex dynamic behaviors. Hence, developing an accurate nonlinear dynamic model and designing effective control strategies are crucial. This paper proposes an integrated attitude and vibration control scheme based on a nonlinear dynamic model. Several control strategies are investigated, including the state-dependent Riccati equation (SDRE) method, Bang-Bang control, and a newly introduced model predictive control (MPC) approach. Cable actuators are employed for structural vibration suppression, while the computed torque method is used for attitude adjustment. To further enhance control performance, the actuator layout is optimized using a genetic algorithm, and polynomial fitting is employed to expedite the computation of nonlinear stiffness terms. Numerical simulations demonstrate that, compared with SDRE-Bang-Bang and traditional LQR control methods, the MPC-based strategy achieves significantly improved vibration suppression, faster response, and higher energy efficiency.