期刊
AUTOMATICA
卷 68, 期 -, 页码 203-208出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.01.051
关键词
Sliding mode control; Twisting algorithm; Periodic orbits; Euler's discretization; Stability
资金
- Australian Research Council [DP130104765, DP140100544]
- National Natural Science Foundation of China [61520106009, 61533008, 61503080]
- Natural Science Foundation of Jiangsu [7708000035]
- AGH University of Science and Technology [11.11.120.343]
In this paper, the Euler's discretization of the second order sliding mode control system with the twisting algorithm is studied. It shows that, for all values of discretization steps, initial conditions and allowable parameter setting, the system trajectories are always bounded. It also shows that for the uncertain systems, under a mild condition, the system trajectories are also bounded. Further, the periodic behaviors and limit cycles of the system trajectories are explored with conditions for the existence of periodic orbits formulated. Extensive simulation examples are given to show typical trajectories, and comparison between the first order and second order sliding mode control systems. (C) 2016 Elsevier Ltd. All rights reserved.
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