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Preprints, Working Papers, ... Year : 2024

A Power Tower Control: A New Sliding Mode Control

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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Dates and versions

hal-04583355 , version 1 (23-05-2024)

Identifiers

  • HAL Id : hal-04583355 , version 1

Cite

Malek Ghanes, Jean-Pierre Barbot. A Power Tower Control: A New Sliding Mode Control. 2024. ⟨hal-04583355⟩
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