The implementation of modal filters for control of structures

Abstract

In designing feedback controls for the control of structures by modal control, one must know the modal states for the modes targeted for control. The sensors measure actual states, however. The modal states can be estimated by means of a Luenberger observer or modal filters. The modal filters produce estimates of the modal states from distributed measurements of the states. If distributed measurements are not available, they can be reconstructed from measurements at discrete points via interpolation. This paper examines various questions associated with the implementation of modal filters, such as the effect of choice of interpolation functions and sensor locations, as well as of measurement errors, on the state estimation process. The method is demonstrated by means of two numerical examples. © 1985 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.