Abstract:

A summarization of the selection methods for the weighting function matrix in mixed sensitivity H_∞control is presented in the paper. A new idea for the weighting function matrix selection is proposed for the vibration control of high order flexible structures.The MIMO (multi-input multi-output) robust feedback control model of vibration system os presented via the H_∞control theory,and the mixed sensitivity design method os used to design the robust H_∞controller of vibration system. The augment plant for the vibration system is presented by introducing the performance weighting function matrix and the robust weighting function matrix.Acantilever beam model is used to simulate the whole control steps.The weighting functions are found for the controller design of the two-input-two-output H_∞ control model.The results show that the technique presented in the paper for the weighting function matrix selection is cffective to meet the specifications of robust stability and the performance of external disturbance rejection.The vibration control results of the beam are satifactory.

Key words: weighting , function,  , active , vibration , control,  , mixed , sensitivity,  , MIMO , system,  , robust , stability