Robust stabilization of fractional-order linear systems subject to input saturation with the fractional order 0 < α < 1

摘要

This paper considers the stabilization and robust stabilization of fractional-order linear systems subject to input saturation with the fractional order α : 0 < α < 1 case. Using a linear state feedback control, a sufficient condition based on linear matrix inequality (LMI) for the asymptotical stabilization of fractional-order linear systems subject to input saturation is presented. Further, based on the proposed stabilization condition, a condition based on LMI for robust stabilization of fractional-order linear systems subject to input saturation is derived. Finally, a numerical example is given to prove the applicability of the proposed method.