Design of robust supertwisting algorithm based second-order sliding mode controller for nonlinear systems with both matched and unmatched uncertainty
type: Item
instance of: scholarly article
title: Design of robust supertwisting algorithm based second-order sliding mode controller for nonlinear systems with both matched and unmatched uncertainty
zbMATH Open document ID: 1380.93076
DOI: 10.1155/2017/1972921
author: Marwa Jouini
author: Slim Dhahri
author: Anis Sellami
published in: Complexity
publication date: 2018-01-31T00:00:00Z
review text: Summary: This paper proposes a robust SuperTwisting Algorithm (STA) design for nonlinear systems where both matched and unmatched uncertainties are considered. The main contributions reside primarily to conceive a novel structure of STA, in order to ensure the desired performance of the uncertain nonlinear system. The modified algorithm is formed of double closed-loop feedback, in which two linear terms are added to the classical STA. In addition, an integral sliding mode switching surface is proposed to construct the attractiveness and reachability of sliding mode. Sufficient conditions are derived to guarantee the exact differentiation stability in finite time based on Lyapunov function theory. Finally, a comparative study for a variable-length pendulum system illustrates the robustness and the effectiveness of the proposed approach compared to other STA schemes.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 6833037
zbMATH Keywords: robust supertwisting algorithm (STA)
zbMATH Keywords: nonlinear systems
zbMATH Keywords: uncertainties
zbMATH Keywords: integral sliding mode switching surface
zbMATH Keywords: exact differentiation stability
zbMATH Keywords: Lyapunov function theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1972921
OpenAlex ID: W2773443193
cites work: Sliding order and sliding accuracy in sliding mode control
cites work: Robust sliding mode design for uncertain stochastic systems based on H ∞ control method
cites work: Robust sliding mode control approach for systems affected by unmatched uncertainties using \(\mathbf{H}_\infty\) with pole clustering constraints
cites work: Chattering free full-order sliding-mode control
cites work: Super twisting control algorithm for the attitude tracking of a four rotors UAV
cites work: Strict Lyapunov Functions for the Super-Twisting Algorithm
cites work: On strict Lyapunov functions for some non-homogeneous super-twisting algorithms
cites work: Adaptive sliding mode control with application to super-twist algorithm: equivalent control method
cites work: A multivariable super-twisting sliding mode approach
cites work: Nonlinear integral sliding mode control for a second order nonlinear system
cites work: Principles of 2-sliding mode design
description: scientific article; zbMATH DE number 6833037