Abstract:

A method of selecting the optimal locations of actuators/sensors in vibration control application is proposed which takes into account the distribution of disturbance/performance. The state space dynamics equation of a structure is formed in reduced modal coordinates. Then, the controllability Gramian matrices of the disturbance and the actuators are obtained by solving Lyapunov equations. And the singular value decomposition of their controllability Gramian matrices produces the controllability directions of the disturbance and the actuators.

Key words: vibration , control,  , Gramian , matrix,  , actuator,  , sensor,  , optimal , location