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.
In this paper, for second order nonlinear systems with nonsingular terminal sliding mode (NTSM) control, phase trajectory patterns and critical surfaces are studied. The rela- tionship 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.