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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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

Qu, Shaocheng and Xia, Xiaohua and Zhang, Jiangfeng Jeff (2014) Dynamics of discrete-time sliding mode control under uncertain systems with a disturbance compensator. IEEE Transactions on Industrial Electronics, 61 (7). pp. 3502-3510. ISSN 0278-0046

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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.