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| 基于双幂次趋近律的滑模控制方法 | |
| 引用本文： | 李慧洁,蔡远利.基于双幂次趋近律的滑模控制方法[J].控制与决策,2016,31(3):498-502. |
| 作者姓名： | 李慧洁 蔡远利 |
| 作者单位： | 西安交通大学电子与信息工程学院，西安710049. |
| 基金项目： | 国家自然科学基金项目(61308120, 61463029)；宇航动力学国家重点实验室开放基金项目(2011ADL-JD0202). |
| 摘 要： | 针对滑模控制中传统趋近律存在抖振、收敛速度慢的问题, 提出一种基于特定双幂次趋近律的滑模控制方案. 双幂次趋近律具有全局快速的固定时间收敛特性, 收敛时间存在与滑模初值无关的上界. 当系统存在有界集总扰动时, 双幂次趋近律能使滑模及其一阶导数在有限时间收敛到稳态误差界内. 仿真分析验证了所提出方法的有效性. |
| 关 键 词： | 滑模控制|双幂次趋近律|固定时间收敛|稳态误差界 |
| 收稿时间： | 2014/12/15 0:00:00 |
| 修稿时间： | 2015/3/10 0:00:00 |
Sliding mode control with double power reaching law |
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| LI Hui-jie CAI Yuan-li.Sliding mode control with double power reaching law[J].Control and Decision,2016,31(3):498-502. | |
| Authors: | LI Hui-jie CAI Yuan-li |
| Abstract: | A double power reaching law-based sliding mode control approach is proposed for the low convergence speed and chattering phenomenon in the scheme with conventional reaching laws. This double power reaching law has the characteristic of global fixed-time convergence, which means the upper bound of convergence time is independent of the initial value of the sliding mode. It is proved that, for a class of uncertain systems, the sliding mode and its derivative can converge to the proposed steady-state error bounds in finite time, respectively. A typical simulation is given to validate the theoretical results presented in the paper. |
| Keywords: | sliding mode control|double power reaching law|fixed-time convergence|steady-state error bound |
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