Hybrid vibration control of the membrane antenna experiencing maneuver with cable actuators

Abstract

This work investigates a novel hybrid vibration control approach of a membrane antenna with cable actuators considering the rigid-flexible coupling effect induced by maneuver. The dynamic model of the membrane antenna is first formulated using finite element analysis, incorporating nonlinearity and rigid-flexible coupling. Tension cables are selected as actuators due to their wide influence range and lightweight properties, without the need for additional accessories on the membrane. Based on these foundations, a hybrid control strategy is proposed, comprising two sub-controllers for the during-maneuver and after-maneuver stages. The feedforward sub-controller during maneuver is designed based on the system's transfer function and optimized using the genetic algorithm, with the purpose of minimizing shape deflection. The feedback sub-controller for post-maneuver vibration suppression is designed based on the linear quadratic regulator (LQR), with a general controller expression of cable actuators provided. Finally, numerical simulations demonstrate the robustness and efficiency of the proposed control scheme for the membrane antenna. The proposed scheme leverages the rapid responses of feedforward control and reliable suppression of feedback control, offering a new perspective on control scheme design for maneuver-induced vibration and presenting a general controller expression for cable actuators based on state space equations.