反正切有限时间收敛微分器设计

Design of an Arctangent-based Finite-time-convergent Differentiator

在高超声速飞行器的控制问题中,对微分信号的精确提取至关重要。针对传统跟踪微分器抑制噪声能力有限、参数整定困难、算法复杂的不足,基于反正切函数和终端吸引子函数,设计了一种反正切有限时间收敛微分器(FD)。仿真表明,设计的新型有限时间收敛微分器与传统跟踪微分器相比,构型简单、待设计的参数较少、可提供输入信号的任意阶导数,而且在跟踪精度和滤波能力等方面均具有一定的优势。

In the control of hypersonic vehicles,the extraction of differential signals is essential.A new Arctangent-based finite-time-convergent differentiator(FD)based on a arctangent function and a terminal attractor function is presented to improve the performance of traditional tracking differentiators that are hrad to restrain noises,difficult to regulate parameters,and complicated.Simulation results show that the parameters of FD are easy to regulate,and the performance of FD is better than that of the traditional tracking differentiators in tracking speed and filtering.