Study of discretization of two-dimensional sliding mode control systems

Z. Galias, Xinghuo Yu
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引用次数: 3

Abstract

Zero-order holder discretization of two-dimensional sliding mode control system is studied. Steady-state behaviors are classified and their bounds are found. Conditions under which the system trajectory in the steady state spends at most two iterations on each side of the sliding surface are presented. The existence of complex switching patterns for arbitrarily small discretization steps is confirmed. Theoretical results are illustrated with simulation examples.
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二维滑模控制系统的离散化研究
研究了二维滑模控制系统的零阶保持器离散化问题。对稳态行为进行了分类,并找到了它们的边界。给出了稳定状态下系统轨迹在滑动面的每侧最多迭代两次的条件。证实了任意小离散步长的复杂开关模式的存在性。通过仿真算例对理论结果进行了说明。
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