Dynamics of discrete-time sliding mode control under uncertain systems with a disturbance compensator

Shaocheng Qu, Xiaohua Xia, Jiangfeng Jeff Zhang

Research output: Contribution to journalArticle

94 Citations (Scopus)

Abstract

In this paper, dynamical behaviors of the discrete-time sliding-mode-control (DSMC) uncertain systems are studied. First, a discrete reaching law with a disturbance compensator is presented, and a sliding-mode controller is designed by using the proposed reaching law. Second, the time steps for the system trajectories to converge to the switching manifold are found. Then, a quasi-sliding-mode domain (QSMD) of the DSMC uncertain systems is obtained, and the system dynamics of the DSMC systems in QSMD are described. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed strategies.
LanguageEnglish
Pages3502-3510
Number of pages9
JournalIEEE Transactions on Industrial Electronics
Volume61
Issue number7
DOIs
Publication statusPublished - Jul 2014

Fingerprint

Uncertain systems
Sliding mode control
Dynamical systems
Trajectories
Control systems
Controllers
Computer simulation

Keywords

  • control system synthesis
  • discrete reaching law
  • discrete time systems
  • variable structure systems

Cite this

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abstract = "In this paper, dynamical behaviors of the discrete-time sliding-mode-control (DSMC) uncertain systems are studied. First, a discrete reaching law with a disturbance compensator is presented, and a sliding-mode controller is designed by using the proposed reaching law. Second, the time steps for the system trajectories to converge to the switching manifold are found. Then, a quasi-sliding-mode domain (QSMD) of the DSMC uncertain systems is obtained, and the system dynamics of the DSMC systems in QSMD are described. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed strategies.",
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Dynamics of discrete-time sliding mode control under uncertain systems with a disturbance compensator. / Qu, Shaocheng; Xia, Xiaohua; Zhang, Jiangfeng Jeff.

In: IEEE Transactions on Industrial Electronics, Vol. 61, No. 7, 07.2014, p. 3502-3510.

Research output: Contribution to journalArticle

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