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Integral sliding mode : ウィキペディア英語版
Integral sliding mode

In 1996, V. Utkin and J. Shi proposed an improved sliding control method named integral sliding mode control (ISMC).
In contrast with conventional sliding mode control, the system motion under integral sliding mode has a dimension equal to that of the state space. In ISMC, the system trajectory always starts from the sliding surface.
Accordingly, the reaching phase is eliminated and robustness in the whole state space is promised.
==Control Scheme==
For a system
\overset=f(x)+B(x)u+h(x),
an integral sliding surface can be designed as
\sigma (t)=Gx(t)-Gx(0)+\int_^()+Gf(x(\tau )) )d\tau
so that \sigma (0)=0 is guaranteed and the reaching mode during which the system is sensitive to noise in normal sliding mode is eliminated.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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