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arXiv · 2405.14461

A Power Tower Control: A New Sliding Mode Control

Malek Ghanes·Jean-Pierre Barbot
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Abstract

A control based power tower function at order 2 is proposed in this paper. This leads to a new sliding mode control, which allows employing backstepping technique that combines both guaranteed and finite time convergence. The proposed control is applied to a double integrator subject to perturbation $d$. Both guaranteed and finite convergence are ensured by the controller when $d$ is considered constant and bounded, without knowing its upper bound. For the case, when $d$ is variable and bounded with its upper bound known, only a finite time convergence is obtained. Simulation results are given to show the well founded of the proposed novel control.

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Malek Ghanes, Jean-Pierre Barbot. 2024-05-23. A Power Tower Control: A New Sliding Mode Control. https://arxiv.org/abs/2405.14461

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