H∞ control design for generalized second order systems based on acceleration sensitivity function

This article presents an H_infin control design method based on the acceleration sensitivity (AS) function. This approach can be applied to any fully actuated generalized second order system. In this framework, classical modal specifications (pulsations / damping ratios) are expressed in terms of H_infin templates allowing other frequency domain specifications to be taken into account. Finally, a comparison between AS with a more classical H_infin approach and with the cross standard form (CSF) is presented. A 2 degrees of freedom spring-damper-mass academic example is used to illustrate the properties of the AS, though this method was developed and is used for atmospheric reentry control design.