| 引用本文: | 廖瑛,杨雅君,王勇.滑模控制的新型双幂次组合函数趋近律.[J].国防科技大学学报,2017,39(3):105-110.[点击复制] |
| LIAO Ying,YANG Yajun,WANG Yong.Novel double power combination function reaching law for sliding mode control[J].Journal of National University of Defense Technology,2017,39(3):105-110[点击复制] |
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| 滑模控制的新型双幂次组合函数趋近律 |
| 廖瑛1, 杨雅君1,2, 王勇1 |
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(1. 国防科技大学 航天科学与工程学院， 湖南 长沙 410073;2. 装备学院， 北京 101416)
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| 摘要: |
| 提出一种基于双幂次组合函数趋近律的新型滑模控制方案。与现有的快速幂次或双幂次趋近律相比，具有更快的收敛速度，同时还保持了全局固定时间收敛特性，收敛时间上界与滑模初值无关。当系统存在有界扰动时，能够使滑模变量在有限时间内收敛到稳态误差界内，同时其稳态误差要小于现有方法的。仿真实验验证了该方法的有效性及理论分析的正确性。 |
| 关键词: 幂次趋近律 双幂次趋近律 固定时间收敛 稳态误差界 非线性组合函数 |
| DOI：10.11887/j.cn.201703017 |
| 投稿日期：2016-02-17 |
| 基金项目:航天科技创新基金资助项目（CAST201502） |
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| Novel double power combination function reaching law for sliding mode control |
| LIAO Ying1, YANG Yajun1,2, WANG Yong1 |
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(1. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;2.
2. Equipment Academy, Beijing 101416, China)
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| Abstract: |
| A novel sliding control approach based on double power combination function reaching law was proposed. The proposed reaching law has faster convergence speed in comparison with fast power/double power reaching law, and it also has the characteristic of global fixed time convergence, which means the upper bound of convergence time is independent of the initial value of sliding mode variables. It was proved that for a class of bounded external disturbance, the sliding mode variable can converge to a proposed steady-state error bounds in finite time, and the value of the steady state error is less than the previous reaching law. Simulation results show that the validity of conclusion is confirmed. |
| Keywords: power rate reaching law double power rate reaching law fixed time convergence steady-state error bound nonlinear combination function |
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