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Title: Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control
Authors: Ma, HF 
Li, YM 
Issue Date: 2019
Source: IEEE access, 2019, v. 7, p. 49822-49829
Abstract: This paper proposes a multi-power reaching law-based sliding-mode control (SMC) for uncertain discrete-time systems. The proposed controller mainly consists of the multi-power function along with the perturbation estimation. Different from the existing similar works, the control gains of the controller are adaptively adjusted by the multi-power function, i.e., three power terms, according to different stages of the convergence process. Hence, the system trajectory of the controlled system can be forced toward the sliding surface with a faster convergence rate. The corresponding sliding-mode dynamics and the reaching steps to the sliding surface are theoretically analyzed. A practical example is given to examining the validity of the proposed method. The simulation results show that the proposed method reduces the reaching steps while guaranteeing better control accuracy than the single power method.
Keywords: Multi-power function
Discrete-time sliding-mode control (DSMC)
Reaching law
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE access 
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2019.2904103
Rights: © 2019 IEEE. Translations and content mining are permitted for academic research only. Personal use is also permitted, but republication/redistribution requires IEEE permission. See for more information
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The following publication H. Ma and Y. Li, "Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control," in IEEE Access, vol. 7, pp. 49822-49829, 2019 is available at
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