Impulsive second‐order sliding mode control in reduced information environment

Aldukali, Fathi M.; Shtessel, Yuri B.; Plestan, Franck

doi:10.1002/rnc.4057

Cited by 5 publications

(1 citation statement)

References 17 publications

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“…Note that in [48], an SMC design method was presented for a class of uncertain linear impulsive systems via switching gains. In [49], an impulsive SOSM control in the reduced information environment was proposed. Also, an impulsive adaptive STA was reported in [50].…”

Section: B Stability Analysismentioning

confidence: 99%

A Generalized Supertwisting Algorithm

Mei

Ding

2023

IEEE Trans. Cybern.

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The work proposes a generalized supertwisting algorithm (GSTA) and its constructive design strategy. In contrast with the conventional STA, the most remarkable characteristic of the proposed method is that the discontinuous term in the conventional STA is replaced with a fractional power term, which can fundamentally improve the performance of the conventional STA. It is shown that if the fractional power in the nonsmooth term becomes −1/2, the GSTA will reduce to the conventional STA. Under the GSTA, it will be rigorously verified by taking advantage of strict Lyapunov analysis that the sliding variables can finite-time converge to an arbitrarily small region in a neighborhood of the origin by tuning the gains and the fractional power. Finally, simulation studies are provided to demonstrate the superiority of the theoretically obtained results.

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Section: B Stability Analysismentioning

confidence: 99%