一种高稳快速跟踪微分器及其应用

A Novel Tracking Differentiator with Good Stability and Rapidity and its Application

研究了一种高稳快速跟踪微分器,实现快速跟踪目标信号和精确求解目标信号的微分信号,并将其应用于卫星天线的姿态控制.以有界扰动二阶系统为研究对象,设计了一种新的非光滑控制器,证实了这种控制器的稳定性、快速收敛性和强扰动抑制能力;结合非光滑控制器和非线性跟踪微分器设计了一种新的高稳快速跟踪微分器(HSSTD),证明了这种跟踪微分器的稳定性,验证了这种跟踪微分器可以快速准确地跟踪目标信号并精确求取目标信号的微分.将所研究的高稳快速跟踪微分器应用于移动卫星天线的姿态控制,实验证实了这种跟踪微分器可以实现天线姿态的快速稳定控制,保证天线与目标卫星间的稳定通信.

A novel tracking differentiator with high stability and rapidity was studied to quickly track the object signal and correctly resolve its differentiation,which was applied to control the attitude of the non-stationary antenna.A novel non-smooth controller of the second system with a bounded disturbance was proposed;its stability,rapid convergence and strong disturbance rejection ability were studied.A novel tracking differentiator with high stability and rapidity（HSSTD）was proposed with the help of the non-smooth controller and a nonlinear tracking differentiator,its stability is proved in theory.Experiments validate the tracking differentiator can quickly track the object signal and correctly resolve its differentiation.The novel tracking differentiator is been applied in the attitude PID control of non-stationary antenna.Experiments prove the novel tracking differentiator can help the non-stationary antenna to track the target satellite quickly and stablely and ensure communication with a high quality.