Two order quasi-newton iterative learning control of multi-actuators vibration test system

In this paper, the two order quasi-newton iterative learning control algorithm for the multi-actuators vibration test system is investigated. First, a vibration coupling system with multi-actuators is established based on the frequency response function of the test beam. Second, a proportional-resonant filter is employed to filtrate the measurement disturbance in the system. Third, a novel two order iterative learning control algorithm based on he quasi-newton method is proposed to remove the actuate force coupling. The proposed control algorithm not only resolve the coupling phenomena effectively, but also guarantee the tracking errors of the system convergence with parameter uncertainty. Finally, simulations with eight actuators mathematical model with uncertainty are used to demonstrate the effectiveness of the proposed control algorithm.