WAVE-ABSORBING CONTROL FOR FLEXIBLE STRUCTURES WITH NONCOLLOCATED SENSORS AND ACTUATORS

A control method for vibration suppression of flexible structures with noncollocated sensors and actuators is introduced. A simple expression of response of flexible structural networks is also shown. The control method is an extension of wave-absorbing control based on the concept of disturbance propagation. Disturbance propagation in a flexible structure modeled as a distributed parameter system is treated in the frequency domain, and the usual modal expansions are not employed for modeling the system. Response of structural networks is obtained from exact solutions of Laplace-transformed equations of motion. Boundary conditions are expressed in terms of reflection/transmission of traveling waves, and controllers with noncollocated sensors and actuators are designed to suppress outgoing waves at boundaries of the structure. Responses of the controlled systems to external disturbances are analyzed through numerical examples.