Finite-Time Stabilization of Fractional Order Uncertain Chain of Integrator: An Integral Sliding Mode Approach

@article{Kamal2013FiniteTimeSO,
  title={Finite-Time Stabilization of Fractional Order Uncertain Chain of Integrator: An Integral Sliding Mode Approach},
  author={Shyam Kamal and Arun Raman and Bijnan Bandyopadhyay},
  journal={IEEE Transactions on Automatic Control},
  year={2013},
  volume={58},
  pages={1597-1602}
}
In this technical note, a novel methodology for robust finite-time stabilization of a chain of uncertain fractional order integrator is proposed. This is achieved by first designing a nominal controller which stabilizes the system in finite time. An integral sliding-mode like surface and a switching controller is proposed such that when the system is on the surface the equivalent value of the integral sliding-mode control is the negative of the disturbance and hence the disturbance is cancelled… CONTINUE READING
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