H-Infinity Control of a Force-Actuated Flexible Beam Using an Analytical Bound Approach and Non Collocated Disturbance

The paper considers the H^infin control of collocated flexible structural systems in vector second order form using an analytical bound approach. The model of a cantilevered beam with a collocated "Point Force" sensor/actuator pair is used to validate analytical expressions that have been derived for the H^infin norm bounds and the corresponding static output feedback control gains that achieve these bounds. The paper considers a general case for disturbances using a collocated disturbance actuator/sensor pair according to a given spatial distribution across the beam. The results are an extension to the case where the disturbance and control signals are collocated. The analytical results are compared with standard analysis as well as to the dynamic full state feedback case in terms of accuracy and computational intensity