| 跟踪微分系统解的研究 |
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| 引用本文： | 马中华,吴国富,陈敏. 跟踪微分系统解的研究[J]. 系统科学与数学, 2009, 29(1): 43-52 |
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| 作者姓名： | 马中华 吴国富 陈敏 |
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| 作者单位： | 1. 复旦大学管理学院,上海,200433
2. 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 国家自然科学基金，中国博士后科学基金 |
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| 摘 要： | 在已有的跟踪微分器理论的基础上,证明了跟踪微分器系统的解关于输入信号的连续性,并且为了便于考察跟踪微分器系统解的结构特点等性质,利用逼近函数设计了新型的跟踪微分器,进而证明了其解与具有不连续右端的跟踪微分器的解之间的等价关系.最后,给出了跟踪微分器应用于雷达跟踪目标运动状态的仿真计算结果,表明了由于其不依赖目标运动状态方程的特点,在实践应用中具有相当大的优势.
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| 关 键 词： | 跟踪微分器 跟踪信号 逼近函数 系统解 |
| 收稿时间： | 2007-03-21 |
| 修稿时间： | 2008-04-15 |
Research on the System Solution of Tracking Differentiator |
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| MA Zhonghua,WU Guofu,CHEN Min. Research on the System Solution of Tracking Differentiator[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(1): 43-52 |
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| Authors: | MA Zhonghua WU Guofu CHEN Min |
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| Affiliation: | (1)School of Management, Fudan University, Shanghai 200433; (2)Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190. |
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| Abstract: | Based on the theory of tracking differentiator, the continuity of the solution of Tracking-Differentiator is proven, and a new type of Tracking-Differentiator is designed by use of approximation function in order to facilitate the inspection of structural features of the system. Then the equivalence relationship of the solution of Tracking-Differentor and the system with discontinuous right side is shown. Finally, the simulation result for Tracking-Differentiatiator used in radar tracking target state is given. |
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| Keywords: | Tracking-Differetiator tracking target approximation function system solution. |
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