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

Abstract EN

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.