| 引用本文: | 吴金尘,刘俊,叶华文.双积分器的有限时间积分滑模设计及应用[J].控制理论与应用,2020,37(7):1578~1582.[点击复制] |
| WU Jin-chen,LIU Jun,Ye Hua-wen.Design and application of finite time integral sliding mode of double integrator[J].Control Theory and Technology,2020,37(7):1578~1582.[点击复制] |
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| 双积分器的有限时间积分滑模设计及应用 |
| Design and application of finite time integral sliding mode of double integrator |
| 摘要点击 2284 全文点击 1453 投稿时间：2019-10-16 修订日期：2020-03-25 |
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| DOI编号 10.7641/CTA.2020.90863 |
| 2020,37(7):1578-1582 |
| 中文关键词 滑模控制 饱和控制 有限时间控制 镇定 直流电机 |
| 英文关键词 integral sliding mode saturated control finite-time control |
| 基金项目 国家自然科学基金项目(61374024)资助. |
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| 中文摘要 |
| 针对带有加性扰动的双积分器, 本文结合嵌套饱和控制与积分滑模控制原理, 设计一种带分数指数项的积
分滑模面. 运用Haimo有限时间稳定原理, 证明了所设计的积分滑模不会产生奇异性. 相应的控制设计由两部分组
成: 理想控制和不连续控制, 可实现滑模面上动态的有限时间稳定, 并消除加性扰动的影响. 用直流电机角速度控
制系统作为例子, 说明了算法的有效性. |
| 英文摘要 |
| For the double integrator with an additive disturbance, an integral sliding surface with fractional exponential term is designed motivated by the nested-saturation control approach and integral sliding mode control principle. By using the Haimo''s finite-time stability theory, it is proved that there is no singularity in the assignment of the integral sliding mode. The suggested control design is able to eliminate the influence of the additive disturbance and at the same time, guarantee that the dynamics on the sliding mode surface is finite-time stable. The effectiveness of the algorithm is illustrated by dealing with a DC motor angular velocity control system. |