基于反双曲正弦函数的扩张状态观测器

Extended state observer based on inverse hyperbolic sine function

首先,采用反双曲正弦函数设计一种三阶扩张状态观测器,利用Lyapunov函数证明三阶扩张状态观测器误差系统渐近稳定;然后,利用反双曲正弦函数选取扩张状态观测器初始阶段的参数,以抑制微分峰值现象;最后,通过仿真实验结果,表明了所提出的三阶扩张状态观测器能够获取二阶系统各状态变量和非线性扰动高精度的估计值,而且能够较好地抑制微分峰值.

Firstly, a third-order extended state observer（ESO） with an inverse hyperbolic sine function is designed. The stability of a third-order ESO error system is proved with the Lyapunov function. Then, the ESO parameters＇ values during the initial phase are determined with the inverse hyperbolic sine function in order to restrain the derivative peaking phenomenon. Finally, the simulation results show that the ESO can obtain higher precision estimations of all the state variables and non-linear disturbance and restrain the derivative peaking well.