A new class of fast finite-time discontinuous controllers

@article{CruzZavala2014ANC,
  title={A new class of fast finite-time discontinuous controllers},
  author={Emmanuel Cruz-Zavala and Jaime A. Moreno},
  journal={2014 13th International Workshop on Variable Structure Systems (VSS)},
  year={2014},
  pages={1-6}
}
We introduce a new class of high-order sliding mode (HOSM) controllers with improved convergence rate for a single-input uncertain system. The controllers are designed by means of Control Lyapunov Functions (CLF's) and properties of homogeneous systems in the bi-limit. Therefore, the proposed controllers in feedback with the system make the close-loop system homogeneous in the bi-limit. Robustness and convergence rate are improved in comparison with the reported HOSM.