高精度快速非线性离散跟踪微分器  

A high-speed nonlinear discrete tracking-differentiator with high precision

作　　者：谢云德[1] 龙志强[1] 

机构地区：[1]国防科技大学磁悬浮技术研究中心,湖南长沙410073

出　　处：《控制理论与应用》2009年第2期127-132,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60874015);国家科技支撑项目(2006BAG02B05).

摘　　要：对二阶连续系统最速控制设计中采用的综合函数作了分析,得到了一种新的高精度、快速离散非线性跟踪微分器,并对其滤波特性、微分提取特性进行了初步分析.分析表明,这种跟踪微分器对输入信号具有很好的跟踪能力,能够滤除噪声和提取微分信号.相位延迟小,幅值衰减小,因而具有跟踪的快速性、准确性.最后,给出了数值仿真例子来验证该算法;并给出了一个实验结果,证实了算法的可行性.The penalty function employed in the time-optimal control design for a 2nd-order continuous-time system is analyzed. A high-speed nonlinear discrete tracking-differentiator with high precision is presented, its performances of signal filtration and signal differentiation are then briefly analyzed. The analysis shows that this tracking-differentiator has excellent capabilities in signal tracking, noise rejection and differential-signal acquisition, with small phase-delay and amplitude attenuation. Numerical simulation results are also given for validation. Experimental results confirm the feasibility of the proposed method.

关 键 词：跟踪微分器 离散系统 高精度 非线性 滤波器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]