| 引用本文: | 谢云德,龙志强.高精度快速非线性离散跟踪微分器[J].控制理论与应用,2009,26(2):127~132.[点击复制] |
| XIE Yun-de,LONG Zhi-qiang.A high-speed nonlinear discrete tracking-differentiator with high precision[J].Control Theory and Technology,2009,26(2):127~132.[点击复制] |
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| 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 |
| 摘要点击 2071 全文点击 2577 投稿时间：2007-10-22 修订日期：2008-06-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.2.003 |
| 2009,26(2):127-132 |
| 中文关键词 跟踪微分器 离散系统 高精度 非线性 滤波器 |
| 英文关键词 tracking-differentiator discrete-time system high precision nonlinear filter |
| 基金项目 国家自然科学基金资助项目(60874015); 国家科技支撑项目(2006BAG02B05). |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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. |