Dynamics Analysis And Vibration Control On Deployable Antenna Structure

There is a very high requirement on self-adaptive because of the development of deployable antenna structures and the application of smart material, but vibration is complex and modeling is difficult on deployable antenna structures, especially, its vibration modes is dense and stiffness is low, it bring great challenges on vibration control.In the past, people spend much time on passive control, but the member of deployable antenna structure’s tensile and compressive deformation is small in vibration, so effectiveness on vibration control is not apparent. The vibration control system contain sensor actuator and controller.For the design of active vibration controller, measurements of the traditional algorithm are velocity and displacement, it will bring errors because of velocity and displacement is difficult to measure. So this paper proposed on state-derivative feedback equation which measurement is acceleration based on state space equation and the feedback gain matrix and state-derivative estimator can be determined by Lagrange multiplier method and functional minimization method, and formed state-derivative feedback algorithm of closed-loop control system. According to this algorithm, analysed a annular space truss on vibration control, which diameter is one meter. At last, analysed effect of vibration control by modal parameter identification of time domain. Make the comparison of control effect on LQR algorithm and state-derivative feedback algorithm by a three layers of shear frame structure.The results show that effectiveness on vibration control is apparent and the algorithm of state-derivative feedback control can apply to active vibration control on spatial structure.And also, state-derivative feedback algorithm is superior over LQR algorithm.