A sliding mode control for a class of linear fractional systems with delay

Dealing with a sliding mode control design for a class of linear fractional systems with state delay,we first consider a fractional system without delay for which a sliding surface is proposed based on fractional integration of the state.Then a stabilizing switching controller is derived.At last,a sliding mode control design for fractional systems with state delay is proposed.The existence of the sliding mode and the stability of the proposed control design are discussed.