Super-Twisting Algorithm-Based Fractional-Order Sliding-Mode Control of Nonlinear Systems With Mismatched Uncertainties

This article proposes a fractional-order sliding-mode control (FOSMC) method based on the super-twisting algorithm to compensate for a general form of mismatch uncertainties in a class of nonlinear systems. First, a new super-twisting algorithm-based fractional-order sliding-mode virtual control law...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) Vol. 71; no. 8; pp. 1 - 10
Main Authors: Zhou, Minghao, Su, Hongyu, Feng, Yong, Wei, Kemeng, Xu, Wei, Cheng, Jiamin
Format: Journal Article
Language:English
Published: New York IEEE 01.08.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Boundary layers
Chattering suppression
Control methods
Control systems
Control theory
Eigenvalues and eigenfunctions
fractional-order calculus
Manifolds
mismatched uncertainties
Nonlinear control
Nonlinear dynamical systems
Nonlinear systems
singular problem
Sliding mode control
sliding-mode control (SMC)
super-twisting algorithm
Switches
Switching
Symmetric matrices
Twisting
Uncertainty
ISSN:0278-0046, 1557-9948
Online Access:Get full text
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Summary:This article proposes a fractional-order sliding-mode control (FOSMC) method based on the super-twisting algorithm to compensate for a general form of mismatch uncertainties in a class of nonlinear systems. First, a new super-twisting algorithm-based fractional-order sliding-mode virtual control law is constructed to ensure that the state trajectory can converge to the equilibrium point and avoid the singular problem caused by the system state differential with fractional powers. Furthermore, the switching term in the virtual control law is softened by a <inline-formula><tex-math notation="LaTeX">(2\alpha +1)</tex-math></inline-formula>-order integrator. Unlike the traditional boundary layer method, the fractional-order switching term in the designed control law has continuous derivatives so that a continuous actual control signal can be obtained without sacrificing control accuracy. With continuous control, the nonlinear system can respond quickly with high precision. Finally, simulation and experimental results demonstrate that the proposed control method exhibits excellent control performance in nonlinear systems with matched and mismatched uncertainties.
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ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2023.3329164