Multivariable Frequency Domain Maximum Likelihood Identification and Control of Flexible Structures with Close Modes

It is difficult to identify the model of flexible structures with close modes for its lightly modal damping and high modal coupling.Frequency domain identification is an effective method to obtain the model parameters of flexible structures,but it is mainly focused on Single Input Single Output system and can not be used to identify the model of flexible large space structures,which usually requiring multivariable description.The multivariable frequency domain maximum likelihood identification is proposed in this paper for the first time.The algorithm derivations and realization are given in details.An H-like flexible plate with close modes is given as the model structure.Active controller was designed based on the model identified by the proposed method.Good control effect validates the effectiveness of the active controller and the feasibility of the identification method.