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滑模控制的新型双幂次组合函数趋近律
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.
作者姓名:廖瑛  杨雅君  王勇
作者单位:国防科学技术大学航天科学与工程学院,国防科学技术大学航天科学与工程学院,国防科学技术大学航天科学与工程学院
基金项目:航天科技创新基金项目(CAST201502)
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
收稿时间:2015/12/17 0:00:00
修稿时间:2016/3/1 0:00:00

A Novel Double Power Combination Function Reaching Law for Sliding Mode Control
LIAO Ying,YANG Yajun and WANG Yong.A Novel Double Power Combination Function Reaching Law for Sliding Mode Control[J].Journal of National University of Defense Technology,2017,39(3):105-110.
Authors:LIAO Ying  YANG Yajun and WANG Yong
Abstract:A novel sliding control approach based on double power combination function reaching law is proposed. The proposed reaching law has faster convergence speed by compare 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 is 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 steady-state error less than previous reaching law. Simulation results are shown 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 funciton
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