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February 1, 2012IEEE Transactions on Automatic Control

Strict Lyapunov Functions for the Super-Twisting Algorithm

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Authors

JMJaime A. MorenoUniversidad Rey Juan CarlosMOMarisol OsorioUniversidad Pontificia Bolivariana

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Implication

This method constructs strict Lyapunov functions to ensure convergence in control systems, highlighting robustness.

Key Points

  • The study aims to develop strict Lyapunov functions for the super-twisting algorithm, enhancing stability and robustness.
  • Constructed a family of strict Lyapunov functions with negative definite derivatives.
  • Examined finite time convergence and the effects of perturbations.
  • Utilized quadratic forms for simplicity in operations.
  • Established finite time convergence for the super-twisting algorithm under a broader class of perturbations.
  • Provided a method to estimate convergence time.
  • Ensured robustness against perturbations, surpassing classical approaches.

Cite This Study

Moreno et al. (2012) studied this question.

synapsesocial.com/papers/69d735f78e958094d1b8a440https://doi.org/10.1109/tac.2012.2186179
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