非奇异终端滑模控制系统相轨迹和暂态分析

穆朝絮; 余星火; 孙长银

doi:10.3724/SP.J.1004.2013.00902

非奇异终端滑模控制系统相轨迹和暂态分析

doi: 10.3724/SP.J.1004.2013.00902

穆朝絮^1,2,
余星火^{1 3},
孙长银^1, ,

1.
东南大学自动化学院南京 210096 中国;
2.
天津大学电气与自动化工程学院天津 300072 中国;
3.
皇家墨尔本理工大学工业技术研究院墨尔本 3001 澳大利亚

基金项目:

国家自然科学基金(61125306, 91016004, 61034002);教育部博士点基金(20110092110020)资助

详细信息

通讯作者:
孙长银

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- 被引次数: 0
出版历程
- 收稿日期: 2012-07-18
- 修回日期: 2012-11-30
- 刊出日期: 2013-06-20

Phase Trajectory and Transient Analysis for Nonsingular Terminal Sliding Mode Control Systems

MU Chao-Xu^1,2,
YU Xing-Huo^{1 3},
SUN Chang-Yin^{1
, ,}

1.
School of Automation, Southeast University, Nanjing 210096, China;
2.
Department of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China;
3.
Platform Technologies Research Institute, Royal Melbourne Institute of Technology University, Melbourne 3001, Australia

Funds:

Supported by National Natural Science Foundation of China(61125306, 91016004, 61034002) and Dotoral Programs Foundation of Ministry of Education of China(20110092110020)

摘要

摘要: 对于采用非奇异终端滑模控制的二阶系统,考虑到不同的初始状态,研究了其相轨迹的分布规律,给出了临界曲面的概念和解析表达. 基于相轨迹的分布,考虑了系统初始状态与到达滑模面时间的关系,探讨了到达时间最大值的估计算法,并给出了非奇异终端滑模控制系统的收敛时间的数学表达. 通过仿真验证了相轨迹的分布规律和临界曲面的正确性,以及根据系统初值估计到达时间的有效性.
- 非奇异终端滑模 /
- 相轨迹分析 /
- 到达时间 /
- 收敛性
Abstract: In this paper, for second order nonlinear systems with nonsingular terminal sliding mode (NTSM) control, phase trajectory patterns and critical surfaces are studied. The relationship between the initial state and the sliding mode reaching time is explored and a reaching time estimation algorithm is given. Simulations are presented to show the effectiveness of the analysis and algorithm.
- Nonsingular terminal sliding mode (NTSM) /
- phase plane portraits /
- reaching time /
- convergence

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参考文献(14)

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