Discrete time switching reaching law design for an arbitrary order sliding variable

P. Leśniewski
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Abstract

In this paper the reaching law approach to designing sliding mode controllers is used. In particular, the case of switching variable of relative degree r > 1 is considered. It is demonstrated, that the use of such a variable allows more freedom in designing the controller and can result in reducing the maximum absolute value of the control signal without compromising the robustness with respect to external disturbances.
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任意阶滑动变量的离散时间切换到达律设计
本文采用趋近律法设计滑模控制器。特别考虑了相对度为r > 1的开关变量的情况。结果表明,使用这样的变量允许在设计控制器时更自由,并且可以减少控制信号的最大绝对值,而不会损害相对于外部干扰的鲁棒性。
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