A New Sufficient Condition for Checking the Robust Stabilization of Uncertain Descriptor Fractional-Order Systems

Abstract EN

We consider the robust asymptotical stabilization of uncertain a class of descriptor fractional-order systems.

In the state matrix, we require that the parameter uncertainties are time-invariant and norm-bounded.

We derive a sufficient condition for the system with the fractional-order α satisfying 1 ≤ α < 2 in terms of linear matrix inequalities (LMIs).

The condition of the proposed stability criterion for fractional-order system is easy to be verified.

An illustrative example is given to show that our result is effective.