H<inf>∞</inf> control design for generalized second order systems based on acceleration sensitivity function

Abstract

This article presents an H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> 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 <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> templates allowing other frequency domain specifications to be taken into account. Finally, a comparison between AS with a more classical H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> 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.