改进的反正切跟踪微分器设计

上海交通大学学报（自然版） ›› 2015, Vol. 49 ›› Issue (02): 164-168.

• 自动化技术、计算机技术 • 上一篇下一篇

改进的反正切跟踪微分器设计

卜祥伟，吴晓燕，马震，钟宇

(空军工程大学防空反导学院，西安 710051)

收稿日期:2014-05-12 出版日期:2015-02-28 发布日期:2015-02-28
基金资助:
航空科学基金(20130196004),陕西省自然科学基础研究计划(2012JM8020)资助项目

Design of a Modified ArctangentBased Tracking Differentiator

BU Xiangwei,WU Xiaoyan，MA Zhen,ZHONG Yu

(Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China)

Received:2014-05-12 Online:2015-02-28 Published:2015-02-28

摘要/Abstract

摘要：

摘要：针对反正切跟踪微分器存在设计参数多、整定困难和噪声抑制能力有限等不足，提出了一种改进反正切跟踪微分器（Modified Arctangentbased Tracking Differentiator, MATD）.通过引入非线性函数和简化设计参数构造了MATD的跟踪函数，证明了其全局一致渐近稳定性.在分析MATD跟踪函数的状态收敛过程的基础上，阐述了其改进机制，并通过分析设计参数不同取值对频域特性的影响，得到了MATD的参数整定规则.仿真结果表明，MATD响应快速，精度较高，且具有更强的噪声抑制能力.

关键词: , 改进反正切跟踪微分器, 噪声抑制, 非线性函数, 频域特性

Abstract:

Abstract： A modified arctangentbased tracking differentiator (MATD) was designed to improve the performance of arctangentbased tracking differentiator with the difficulty of parameter adjustment and poor ability of noise restraint. First, the tracking function of MATD was constructed by introducing the nonlinear function and reducing design parameters, and its global uniformly asymptotical stability was proved. Then, the improvement mechanism of MATD was shown based on the convergence analysis of the tracking function of MATD. Finally, the parameter adjustment rule of MATD was obtained via analyzing the effects parameters on frequency domain characteristics. Simulation results demonstrate that MATD has the advantages of fast response, high precision and strong ability of noise restraint.

Key words: modified arctangentbased tracking differentiator (MATD), noise restraint, nonlinear function, frequency domain characteristics

中图分类号:

TP 273

卜祥伟，吴晓燕，马震，钟宇. 改进的反正切跟踪微分器设计[J]. 上海交通大学学报（自然版）, 2015, 49(02): 164-168.

BU Xiangwei,WU Xiaoyan，MA Zhen,ZHONG Yu. Design of a Modified ArctangentBased Tracking Differentiator[J]. Journal of Shanghai Jiaotong University, 2015, 49(02): 164-168.

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改进的反正切跟踪微分器设计

Design of a Modified ArctangentBased Tracking Differentiator

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