Finite time stabilization of fractional order uncertain chain of integrator: A sliding mode approach

In this paper, a novel method for finite time stabilization of a chain of uncertain fractional order integrator is proposed for the first time. This is accomplished by first designing a controller which is capable of stabilizing the disturbance free states of the system in finite time. Then a suitable sliding surface is designed such that when the system slides on it, the designed controller is transferred to act on the disturbance free states. After that, by switched sliding surface mechanism the remaining state which is affected by the disturbance is also stabilized.