Investigation of Optimally Robust Structural Damping Through Fractional OrderFeedback

摘要

The purpose of this investigation was to determine if introducing fractionalorder states in a feedback system was beneficial to overall system performance. Fractional order differential equations have been used in the past primarily to model viscoelastic damping in structures. This study examined the use of fractional order differential equations in formulating a control algorithm with additional degrees of freedom. The algorithm presented is best suited for active structural damping. Including the fractional order time derivatives in the state allowed some additional flexibility in choosing relevant control parameters in the system. Optimization with respect to robustness was examined to determine a solution. Many additional questions arose in this inquiry as to the applications fractional order states in control systems.