State‐Feedback Control for Fractional‐Order Nonlinear Systems Subject to Input Saturation

Source abstract

We give a state‐feedback control method for fractional‐order nonlinear systems subject to input saturation. First, a sufficient condition is derived for the asymptotical stability of a class of fractional‐order nonlinear systems. Then based on Gronwall‐Bellman lemma and a sector bounded condition of the saturation function, a linear state‐feed back controller is designed. Finally, two simulation examples are presented to show the validity of the proposed method.