Time-Varying Second-Order Sliding Mode Control for Systems Subject to External Disturbance

In this article, the design problem of a class of novel second-order sliding mode controller for systems subject to external disturbance is investigated, where the sliding variable is affected by a time-varying regulation. On the one hand, for the unmatched disturbance bounded by positive functions,...

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Bibliographic Details
Published inIEEE access Vol. 8; pp. 183344 - 183350
Main Authors Wu, Jie, Zhu, Haitao, Li, Xiaodi
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic stability
backstepping-like method
Control stability
Controllers
external disturbance
Finite-time stability
Nonlinear systems
second-order sliding mode
Sliding mode control
Stability criteria
Time-varying systems
virtual control
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Summary:In this article, the design problem of a class of novel second-order sliding mode controller for systems subject to external disturbance is investigated, where the sliding variable is affected by a time-varying regulation. On the one hand, for the unmatched disturbance bounded by positive functions, a second-order sliding mode controller is proposed to prove the finite-time stability of aforementioned system through the backstepping-like method and virtual control strategy. On the other hand, for the non-vanishing bounded disturbance, a non-singular terminal sliding mode surface containing disturbance observations is designed via a finite-time disturbance observation method and the finite-time stability of the system controlled output is realized. The claimed performances of the proposed methods are validated by two simulation examples.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.3029255