论文部分内容阅读
首先采用Terminal吸引子函数代替原不连续函数,以避免滑模微分器的抖振;然后针对现有文献中高阶滑模微分器设计参数选取苛刻这一问题,放宽了设计参数选择范围,并分不同情况证明了高阶滑模微分器的稳定性.在此基础上,给出了高阶滑模微分器估计误差的上界与设计参数和滑模微分器阶次的关系式;通过对设计参数的选取和系统整体结构的分析,提出了高阶滑模微分器减小估计误差且更适于工程应用的设计方法,并给出所需条件.仿真结果表明了所得结论的正确性和有效性.
Terminal attractor function is used instead of the original discrete function to avoid the chattering of the sliding mode differentiator. To solve the problem of harsh selection of the design parameters of the high order sliding mode differentiator in the existing literature, the range of design parameters is relaxed and divided The stability of high-order sliding mode differentiator is proved under different conditions. Based on this, the relation between the upper bound of the estimation error of the high-order sliding mode differentiator and the design parameters and the order of the sliding mode differentiator is given. The selection of parameters and the analysis of the overall structure of the system, a design method of high order sliding mode differentiator to reduce the estimation error and to be more suitable for engineering application is proposed, and the necessary conditions are given. The simulation results show that the conclusions are correct and valid Sex.