@article {254, title = {Disturbance-tailored super-twisting algorithms: Properties and design framework}, journal = {Automatica}, volume = {101}, year = {2019}, pages = {318 - 329}, abstract = {

Second- and higher-order sliding mode techniques are able to avoid the chattering effect associated with first-order sliding. The super-twisting algorithm is one of the most popular second-order sliding mode techniques. Existing modifications of the super-twisting algorithm allow for improved disturbance rejection capability. In this paper, we introduce a new class of generalizations of the super-twisting algorithm that are able to keep the main advantages of standard super-twisting while rejecting disturbances bounded in forms for which the existing algorithms may be not directly applicable. Our results thus broaden the applicability of second-order sliding-mode techniques. We give conditions for stability and finite-time convergence, and provide a complete design framework based on given disturbance bounds.

}, issn = {0005-1098}, doi = {https://doi.org/10.1016/j.automatica.2018.12.017}, author = {Haimovich, Hernan and De Battista, Hern{\'a}n} }