基于不同趋近律的滑模控制相轨迹分析

对于采用单向辅助面滑模控制的二阶非线性系统,考虑到不同形式的趋近律和不同的初始状态,对其相轨迹的运行规律进行了研究,给出了切割面的概念和表示形式.根据相位轨迹的分布,分析了不同初始点和三种不同形式的趋近律对相轨迹的影响,同时讨论了相位轨迹通过两个切换面时的运动规律,分析了两条切换面的作用.仿真结果验证了相轨迹的分布规律和切割面的正确性.

Phase Trajectory Analysis of Sliding Mode Control Based on Different Approaching Laws

For the second-order nonlinear system with unidirectional auxiliary surfaces sliding mode control(UAS-SMC), considering different forms of approaching laws and different initial states, the operation law of phase trajectory is studied, and the concept and representation of partition surface are given. According to the distribution of phase trajectories, the effects of different initial states and three different forms of approaching laws on phase trajectories are analyzed. The motion law of phase trajectory passing through two switching surfaces is discussed, and the functions of two switching surfaces are analyzed. The simulation results verify the distribution of phase trajectories and the correctness of partition surface.