Abstract: A pole assignment method of output feedback with minimized norm in vibration control system design is developed. This method utilizes some steps of robust pole assignment control design so that both robustness of the structural control system and convenience and simplification of calculation are considered. The parameter compatible relation between state vector and output vector based on the measure of robustness is established. By the QR decomposition of matrices, the gain matrix expression can be derived from the mathematics description of the robust pole assignment problem. After analyzing the gain matrix expression, one can obtain the conclusion that robustness of the present control method is guaranteed. The output feedback pole assignment problem is transformed to a least square problem. The feedback matrix can be obtained by using LM algorithm. Finally, this method and its application to the control of a three story structure under a deterministic sine load are shown. The performance of the pole assignment method in this paper is demonstrated.

Key words: st ructural vibration, act ive cont rol, pole assignment method, output feedback