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  HomeContents of Chinese Journal of Mechanical Engineering 2002 No.9STOCHASTIC OPTIMAL CONTROL OF RESIDUAL VIBRATION OF FLEXIBLE REDUNDANT MANIPULATORS

STOCHASTIC OPTIMAL CONTROL OF RESIDUAL VIBRATION OF FLEXIBLE REDUNDANT MANIPULATORS

 

Song Yimin

(Tianjin University)

Yu Yueqing

(Beijing Polytechnic University)

Zhang Ce  Wu Zhenyong

(Tianjin University)

 

Abstract: An analytical investigation is presented into active residual vibration control of flexible redundant manipulators. The smart links are fabricated from the flexible links to which are attached piezoelectric actuators and strain gage sensors. The state-space expression of the stochastic dynamic system is developed firstly. With resort to the minimum principle, a LQG state feedback controller is obtained. In addition, a continuous Kalman filter is designed based on the optimal estimation theory. Finally, a planar 3R flexible redundant manipulator is utilized as an illustration example. Simulation results prove the validity and efficiency of this active vibration control strategy.

Key words: Flexible redundant manipulators  Residual vibration  Active control  Stochastic optimal control

CLC No: TP242  TH112.1

国家自然科学基金(59975001)和中国博士后科学基金资助项目. Received 20010827, received in revised form 20020510

 
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