The Positioning of Sensors and Actuators in Vibration Control of Flexible System

Abstract

A method for the determination of sensors and actuators positioning and feedback gains for the active vibration control of flexible structures is presented. This method is based on the minimization of the minimum function of a quadratic cost functional in the standard optimal control. The optimal criterion is determined via Riccati equations, and it is minimized with a recursive quadratic programming algorithm. The application of this method to a cantilever beam yields several dislocated sensor and actuator locations, which are locally optimal. An extension to the case when the model filters are used is also examined. In this case, the location of the actuator is found to be more sensitive than that of the sensors. This method is clear for the control efficiency, and has the freedom of varying the weighting matrix.