Dislocated actuator/sensor positioning and feedback design for flexible structures

A method is presented which allows an integrated determination of actuator/sens or positions and feedback gains for control of flexible structures. This method is based on the maximization of dissipation energy due to control action. The optimality criterion is determined via a Liapunov equation, and it is maximized with a recursive quadratic programming algorithm. The application of this method to a simple flexible structure yields several in-general dislocated actuator and sensor locations, which are locally optimal. An extension of the method to treat spillover effects is implemented as an additional constraint to the optimization criterion.