论文部分内容阅读
在变结构控制研究中,趋近律是常用的控制策略。通过对幂次趋近律的计算和分析,发现在参数0<α≤1时,系统轨迹在有限时间内到达滑模面;在α>1时,系统轨迹无法趋近滑模面,且系统不稳定。通过变换将幂次趋近律化为线性函数再作曲线拟合,找到符合数据的模拟函数,分别计算出模拟函数在各点的误差,从中挑出误差较小模型。这样变换后的趋近律能在有限时间内到达滑模面,而且抖振较小。
In the study of variable structure control, the law of convergence is a commonly used control strategy. Through the calculation and analysis of the power reaching law, it is found that when the parameter 0 <α≤1, the system trajectory reaches the sliding mode surface in a finite time; when α> 1, the system trajectory can not approach the sliding mode surface, and the system Unstable Through the transformation, the power approach is linearized into a linear function, and then the curve fitting is performed to find the analog functions conforming to the data. The errors of the simulated functions at each point are respectively calculated, and the smaller error model is selected. In this way, the transformed law can reach the sliding surface within a limited time and the chattering is small.