H∞ control of a piezo-actuated flexible beam using an analytical bound approach

The paper considers the H^∞ control of collocated structural systems in vector second order form using an analytical bound approach. The model of a cantilevered beam with a collocated piezoelectric sensor/actuator pair is used to validate explicit analytical expressions that have been derived for the H^∞ norm bounds and the corresponding static output feedback control gains that achieve these bounds. The analytical hound results are compared with the standard H^∞ analysis and control results in terms of accuracy and computational efficiency to demonstrate the great computational benefits of the analytical bound approach.