中国邮电高校学报(英文) ›› 2016, Vol. 23 ›› Issue (1): 55-59.doi: DOI: 10.1016/S1005-8885(16)60008-0
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亢红波1,申宇2
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基金资助:
陕西省科技厅工业攻关项目;陕西省自然科学研究专项项目
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摘要：
为分析采样间隔对一类滑模抖振的影响，利用一种广义描述函数(DF)法，在频域上研究离散滑模控制系统的抖振特性。根据极限环的存在条件，系统的幅相频率特性曲线表明在滑模控制中存在一个非稳定的和两个稳定的极限环。通过精确测量，可估计极限环抖振的幅度和频率。数值仿真验证了广义DF法的抖振参数估计精度。仿真曲线表明从不同初值出发的系统相轨迹可收敛于一大一小两个极限环。
关键词:
多极限环分析
Abstract:
In this paper, the influence of sampling intervals on the chattering in sliding mode (SM) control systems is considered. The describing function (DF) approach is employed to analyze the chattering characteristics in the sampling SM control. By the DF calculations and limit cycle existence conditions, an unstable limit cycle and two stable limit cycles are found in the SM control system. The frequencies and amplitudes of the two limit cycles can also be estimated by graphical calculations. The estimation accuracy of chattering parameters is evaluated by the simulations. The results of simulations show that the system could converge to a large and a small limit cycle from different initial conditions.
Key words:
Multiple limit cycle analysis
中图分类号:
TP13
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链接本文: https://jcupt.bupt.edu.cn/CN/DOI: 10.1016/S1005-8885(16)60008-0
https://jcupt.bupt.edu.cn/CN/Y2016/V23/I1/55
