Nonsingular Terminal Sliding-Mode Control of Second-Order Systems Subject to Hybrid Disturbances

This brief proposes a novel terminal sliding-mode (TSM) control design for second-order systems subject to both continuous and impulsive disturbances. The problem of singularity is effectively eliminated via the proposed approach. To ensure existence of the sliding mode in the presence of hybrid dis...

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Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 69; no. 12; pp. 5019 - 5023
Main Authors He, Xinyi, Li, Xiaodi, Song, Shiji
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuits and systems
Control design
Control systems
Disturbances
finite-time stabilization
Hybrid systems
impulsive disturbance
singularity
Sliding mode control
Steady-state
Surface treatment
Switches
Technological innovation
terminal sliding-mode
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Abstract This brief proposes a novel terminal sliding-mode (TSM) control design for second-order systems subject to both continuous and impulsive disturbances. The problem of singularity is effectively eliminated via the proposed approach. To ensure existence of the sliding mode in the presence of hybrid disturbances, necessary constraints on disturbances are given. It shows that the system can reach the sliding surface within finite time, and then converge to the origin within finite time under the proposed TSM control, which achieves finite-time stabilization of second-order systems. Finally, numerical examples are given to validate the obtained results.
AbstractList This brief proposes a novel terminal sliding-mode (TSM) control design for second-order systems subject to both continuous and impulsive disturbances. The problem of singularity is effectively eliminated via the proposed approach. To ensure existence of the sliding mode in the presence of hybrid disturbances, necessary constraints on disturbances are given. It shows that the system can reach the sliding surface within finite time, and then converge to the origin within finite time under the proposed TSM control, which achieves finite-time stabilization of second-order systems. Finally, numerical examples are given to validate the obtained results.
Author He, Xinyi
Song, Shiji
Li, Xiaodi
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Snippet This brief proposes a novel terminal sliding-mode (TSM) control design for second-order systems subject to both continuous and impulsive disturbances. The...
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SubjectTerms Circuits and systems
Control design
Control systems
Disturbances
finite-time stabilization
Hybrid systems
impulsive disturbance
singularity
Sliding mode control
Steady-state
Surface treatment
Switches
Technological innovation
terminal sliding-mode
Title Nonsingular Terminal Sliding-Mode Control of Second-Order Systems Subject to Hybrid Disturbances
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Volume 69
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