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Título del libro: Proceedings Of The Ieee Conference On Decision And Control
Título del capítulo: Robust Exact Sliding Mode Controller: A Generalization of the Super-Twisting Controller Based on a Disturbance Model

Autores UNAM:
JAIME ALBERTO MORENO PEREZ;
Autores externos:

Idioma:

Año de publicación:
2025
Palabras clave:

Closed-loop; Controller design method; Differentiators; Disturbance models; Error dynamics; Generalisation; Linear time-invariant system; Sliding mode controller; Super- twisting; Twisting controller


Resumen:

© 2025 IEEE.In this paper a controller design method is presented that generalizes the super-twisting controller to cope with a broader class of disturbances. The disturbance is assumed to be described by a linear time-invariant system with bounded unknown input. Inspired by ideas of internal model control the disturbance model is incorporated into the controller. The controller contains the characteristic injection terms of the robust exact differentiator of arbitrary order. Moreover, the resulting closed-loop error dynamics are equivalent to the linearly transformed error dynamics of the robust exact differentiator. This equivalence provides for a formal stability proof of the closed loop. The effectiveness of the method is demonstrated in simulations of two mechanical examples.


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